Gravity Environments - Island Software Group
Transcription
Gravity Environments - Island Software Group
Splashless In Space: The Impact Behavior of Large Droplets on a Rigid Surface in Low-Atmosphere, LowGravity Environments Topic Area: Fluid Dynamics A Proposal for the 2007 NASA Reduced Gravity Student Flight Opportunities Program Fairfield University Physics Department 1073 North Benson Road Fairfield, CT 06824 Team Contact: Brendan Hermalyn [email protected] (203) 623-4794 Faculty Advisor: Dr. Leslie Schaffer [email protected] (203) 615-4034 Team: Hermalyn, Brendan Flyer / Senior / Physics Major Hunter, Brittany Alt. Flyer / Senior / Physics Major [email protected], [email protected] [email protected] Kurose, Jessica Flyer / Senior / Physics Major [email protected] Stupak, John Flyer / Senior / Physics Major [email protected] Zaffetti, Michael Flyer / Senior / Physics Major [email protected] As advisor for this project, I support and endorse this proposal. _ Dr. Leslie Schaffer Date Table of Contents 0. Miscellaneous...................................................................................................................................................4 0.1 Flight Week Preference ..............................................................................................................................4 0.2 Mentor Request ...........................................................................................................................................4 0.3 Table of Variables.......................................................................................................................................4 I Technical .............................................................................................................................................................5 I.1 Abstract. .......................................................................................................................................................5 I.2 Test Description ...........................................................................................................................................5 I.2.A Introduction and Background ............................................................................................................5 I.2.B Theory..................................................................................................................................................7 I.2.C Hypothesis ...........................................................................................................................................9 I.2.D The Need for Microgravity ................................................................................................................9 I.3 Test Objectives ...........................................................................................................................................10 I.3.A Aim of Experiment ...........................................................................................................................10 I.3.B Follow Up Justification ....................................................................................................................11 I.3.C Ground-Based Experiments .............................................................................................................11 I.3.D Expectation of Results......................................................................................................................12 I.3.E Experimental Design and Procedure................................................................................................15 I.3.E.1 Experimental Apparatus ...........................................................................................................15 I.3.E.2 Experimental Procedure ...........................................................................................................16 I.3.E.3 Additional Considerations ........................................................................................................19 I.3.E.4 Experiment Flight Plan .............................................................................................................19 1.3.F Analysis of Quantitative/Qualitative Data Collected .....................................................................20 I.4 Justification for Follow-Up Flight ...........................................................................................................21 I.5. References .................................................................................................................................................21 II. Safety...............................................................................................................................................................24 II.1 Flight Manifest .........................................................................................................................................24 II.2 Experiment Description/Background......................................................................................................24 II.3 Equipment Description ............................................................................................................................24 II.4 Structural Design .....................................................................................................................................31 II.5 Electrical System ......................................................................................................................................31 II.6 Pressure/Vacuum System .........................................................................................................................32 II.7 Laser System .............................................................................................................................................32 II.8 Crew Assistance Requirements................................................................................................................32 II.9 Institutional Review Board ......................................................................................................................33 II.10 Hazard Analysis .....................................................................................................................................33 II.11 Tool Requirements .................................................................................................................................35 II.12 Ground Support Requirements..............................................................................................................36 II.13 Hazardous Materials .............................................................................................................................36 II.14 Procedures..............................................................................................................................................36 II.14.1 Ground Operations.........................................................................................................................36 2/62 II.14.2 Pre-Flight Operations.....................................................................................................................36 II.14.3 In-Flight Operations.......................................................................................................................37 II.14.4 Post-Flight Operations ...................................................................................................................37 III Outreach Plan. ..............................................................................................................................................38 III.1. Objective.................................................................................................................................................38 III.2 Website.....................................................................................................................................................38 III.3 Partnerships ............................................................................................................................................39 III.3.A.The Discovery Museum ................................................................................................................39 III.3.B Bridgeport School District.............................................................................................................39 III.3.B Fairfield High Schools ...................................................................................................................40 III.4 Target Audience ......................................................................................................................................40 III.5 Connection to Curriculum......................................................................................................................41 III.6 Activities ..................................................................................................................................................42 III.7 NASA Education......................................................................................................................................45 III.8 Press Plan................................................................................................................................................46 III.9 Milestone Timeline..................................................................................................................................47 IV. Administrative Requirements: ..................................................................................................................48 IV.1 Institutional Letter of Endorsement. ......................................................................................................48 IV.2 Statement of Supervising Faculty...........................................................................................................48 IV. 3 Funding/Budget Statement ....................................................................................................................48 IV.4. Experiments Involving Animals.............................................................................................................49 IV.5 Parental Consent Forms........................................................................................................................49 V. Appendices .....................................................................................................................................................50 V.1 Appendix A ................................................................................................................................................50 V.2 Appendix B ................................................................................................................................................52 V.3 Appendix C................................................................................................................................................53 V.4 Appendix D................................................................................................................................................54 V.5 Appendix E ................................................................................................................................................57 3/62 0. Miscellaneous 0.1 Flight Week Preference 1. Flight Group 1 – March 8 – 17, 2007 2. Flight Group 2 – March 22 – 31, 2007 3. Flight Group 3 – April 19 – 28, 2007 Note: Flight Group 1 overlaps with Fairfield University’s Spring Break. Being chosen for Flight Group 1 would mean we would only have to miss 2 days of class rather than 7. This would be by far the most convenient group and cause the least interference with our schoolwork. However, if this is not possible, we are prepared to take part in either group 2 or 3. 0.2 Mentor Request We would like to request the assistance of a JSC scientist or engineer as a mentor. 0.3 Table of Variables Variable ΣG ΣL γ T kB Mair P V0 R σ νethanol Description Destabilizing stress due to compressibility of gas Stabilizing stress due to surface tension Adiabatic constant of air Temperature of air Boltzmann's constant Molecular weight of gas Pressure of gas Velocity of drop on impact Radius of drop Surface tension coefficient of ethanol Kinematic viscosity of ethanol Table 0.1. Variables used in proposal. Note: Any pressure mentioned in this proposal refers to atmospheric pressure. 4/62 I Technical I.1 Abstract. Our proposal is to investigate the physics of large scale liquid drop impacts upon a smooth dry surface. As a drop of liquid impacts a smooth dry surface, a crown shaped splash emerges as the drop collapses. A rather surprising phenomenon, however, was discovered in 2005: when the atmospheric pressure around the impact is decreased, the splash ceases to occur. There seems to exist a relationship between the splash characteristics and the atmospheric conditions. This relationship governs the threshold pressure, which is the atmospheric pressure at which a splash no longer results. One of the key parameters is the size of the drop. Previous ground based experiments have been limited in drop size due to the effects of gravity, which acts to detach a drop from an injector when the weight of the drop surpasses the adhesive force of the liquid. While strides are being made in understanding this phenomenon on Earth, particularly with smaller droplets, it has not been possible to test the threshold scaling with larger drops. We propose to use the microgravity environment onboard the DC-9 to scale the drop sizes much larger than is possible on a ground-based lab to verify and extend our understanding into the regime of large drop sizes. Using a variation on an experimental setup proven in a previous microgravity experiment, we will form drops up to 5 times the previously tested size, into the gravity limited drop size regime, and impact them on a smooth dry surface at constant velocity. This process will be repeated while capturing the impacts on a high speed camera, varying the atmospheric pressure by ±10% in 2% increments from the theoretically calculated threshold pressure (see Plot I.3.1). Followup image processing will let us confirm or reject the expectations. With many applications, ranging from printing and surface coating to wing icing on airplanes, verification and further refinement of this model would be a welcomed contribution to the science community. I.2 Test Description I.2.A Introduction and Background Intuitively, one would expect a splash to result from a drop falling onto a solid surface. Under normal conditions (standard atmospheric pressure), this expectation proves true. When a drop hits a smooth, dry substrate a corona splash occurs. After the drop contacts the surface, the fluid can spread upward to form a crown, which (in most cases) then breaks up into a spray of droplets. 5/62 Figure I.2.A.1 Falling drop of milk, illuminated by a strobe light, photographed by Harold E. Edgerton, c. 1938. [2] We see splashes so frequently that we rarely think twice about the occurrence. This causes us to overlook much of the complexity inherent in the collision and subsequent splash. While many experiments have been conducted that attempt to explain, once and for all, the physics of droplet splashing, we still do not fully understand what exactly causes the effect. In 2005, a team of researchers from the University of Chicago MRSEC composed of physicists Xu, Zhang, and Nagel, made the surprising observation that when pressure is lowered enough, splashing can be completely eliminated[20,21]. The dependence of the splash on surrounding gas had not been previously recognized or studied, and their groundbreaking paper on this subject was cited as one of the 10 best in 2005 by the American Institute of Physics. As pressure is reduced, less of a splash forms from the drop impact and fewer droplets break free. If the pressure is reduced sufficiently, the drop simply flattens out and spreads over the impacting surface in a fairly uniform way. These observations have lead to a model of splashing that takes two types of stresses into account, which will be discussed in depth below. First, there are the compressible effects of the surrounding gas which acts to both destabilize the drop and push it upwards. Second, there is a stabilizing stress from the surface tension of the liquid which encourages the fluid to remain together. When destabilizing pressures outweigh stabilizing forces, a splash is predicted to occur. As destabilizing stresses are lowered, surface tension begins to dominate and splashing is inhibited. Understanding exactly how this works has great importance in industry. Drop impact and splashing is related to “ink-jet printing, soil erosion by rain, spray cooling, annealing, quenching and painting, shock atomization, combustion engines, meteorology, and underwater noise of rain” [22], among others. For example, internal combustion engines can apply this research to break fuel droplets into smaller, more potent mists by increasing pressure, and precision painting or covering techniques could benefit from a 6/62 low pressure, splashless environment. Our experiment will extend the knowledge of this effect into a regime that cannot be tested well on Earth. I.2.B Theory To understand why a splash forms, we must look at the stresses present during a droplet impact. The researchers at the University of Chicago hypothesized a relationship between two forces: stabilizing (surface tension) and destabilizing forces (gas compression) [20,21].). A droplet in mid air is held together by surface tension. This is a stabilizing force in that it keeps the droplet together. It is modeled as a: #L = " " = d ! Lt (1) Where the surface tension of the liquid is divided by the boundary layer thickness, which is dependent on the viscosity and shear rate of the liquid. When the droplet impacts a smooth and dry surface, however, it compresses the gas near the surface and forms a shock wave as the gas expands and escapes from between the liquid and the surface. To model the shock wave, three elements are looked at The density of the gas, which changes due to compression: !G = PM G k BT The speed of the shock wave, which is the velocity of sound in the surrounding gas: CG = "k B T MG And the velocity of the expanding liquid, which contributes to the destabilizing stress. ! Ve = RV0 2t This leads to the force of the shock wave: "G # ( $G )(CG )(Ve ) # ! PMG kB T %k B T MG RV0 2t (2) 7/62 Upon impact the droplet experiences both the stabilizing force of surface tension, which tries to keep all of the molecules together, and the destabilizing force of the shock wave, which effectively tries to rip the droplet apart. Under normal conditions, as we can readily observe, the stress of the shock wave is sufficient to overcome the force of surface tension and the droplet breaks up and splashes. The University of Chicago team, however, observed that when the pressure drops below a certain critical limit, the splash ceases to occur; in other words, the stabilizing surface tension is stronger than the destabilizing shockwave. This leads us to a relationship between these stresses, expressed as a ratio: Destabilizing Stress "G RV0 $ L = = #M G P Stabilizing Stress "L 2kB T % (3) The threshold ratio where the splash no longer occurs has been empirically shown to be 9/20 or 0.45. Above this threshold, splashing will occur. Using this threshold ratio the ! Group at the University of Chicago found good agreement between their splashing predictions and experimental results by varying the gas inside the chamber, the velocity of the drop (by releasing it from different heights), the liquid used for the drop, and the pressure. Because their experiment was ground-based, they could only test their hypothesis over a limited range of radii. They have noticed that at very low velocities with regular and small drop sizes, the splashing effects are no longer modeled by this equation. Presently there are additional studies being conducted on scaling the drop size down to see if the physics holds in the extremely small regime. It is very difficult if not impossible to test this model for much larger drop radii on Earth due to gravity, and thus the positive scaling of this relationship has been unconfirmed. We propose to greatly increase the range of radii over which to test their hypotheses by making use of microgravity, thereby gaining greater insight into the dependence of splashing on drop size. We expect their relationships to hold with increased drop sizes, but then again, it may very well turn out that there is an upper limit on drop size, beyond which the physics of this model breaks down. If so, we hope to determine this upper limit and hypothesize a modified model which accurately predicts the behavior of large drops. We will test this model by calculating the threshold pressure. Keeping in mind the observed 9/20 ratio, one can solve the equation above for the threshold pressure: PT = .45 " # 2k B T " RV% L $M G (4) This will be measured by varying the pressure by ±10% of the calculated threshold pressure from above in 2% increments while keeping all other variables constant and observing the impact to!determine if a splash occurred or not. There have simply not been very many tests of this newly discovered phenomenon. Previous studies of splashing almost unanimously ignore the effect of the 8/62 compressed gas on the droplet, instead citing a shockwave that propagates in the fluid alone [3,5]. This new model has far reaching implications on understanding splashing, with the newfound ability to suppress or support splashes by simply varying the atmospheric pressure. I.2.C Hypothesis By determining the threshold pressure of larger drop sizes, we hypothesize that we will be able to test the splashing model proposed by the University of Chicago team, and expand the understanding of the physics of this phenomenon into a larger regime than possible on Earth. We expect that our results will confirm the model and that the experimental threshold pressures will agree with theoretical values, but we will be testing over a range of pressures wide enough to observe a noticeable difference between the theoretical and experimental results, if one exists. If there is a discrepancy, we hope to create a modified model that depicts splashing effects more accurately. I.2.D The Need for Microgravity We will be using the microgravity environment onboard the DC-9 to create spherical droplets much larger then what can be formed on Earth. This is a proven and time tested application of microgravity. [6,10] The most common method for producing droplets is using an injector or syringe apparatus. A drop is formed on the tip of a needle until it grows so large that gravity overcomes the adhesive surface tension forces, and causes the droplet to fall. Therefore, there exists a maximum size of a droplet that can be formed on a needle. This is dictated by Tate’s Law: W=2πrγ (5) where W is the weight of the drop, r is the radius of the tip of the needle, and γ is the surface tension of the liquid. [18] By knowing the density of the liquid used, one can calculate the volume of the droplet. We can also rearrange the equation to find the radius of the drop, rd = 3 3rn " 2 !g where rd is the radius of the drop and rn is the radius of the needle tip. For a needle with a radius of .4mm, the largest ethanol drop which can be formed has a radius of .954mm. Using the same size needle, we will be able to produce drop sizes much larger. The largest drop size we will form is 8.5mm. Although other methods of forming large droplets in Earth gravity do exist, they are not particularly useful for this application. First, they tend not to produce very spherical droplets. A major condition of this experiment is that the droplets impact the 9/62 glass substrate as, or most nearly as a sphere. In past ground based experiments on splashing, the height from which the drops were released was adjusted to account for harmonic oscillation in the direction of motion so that the droplet impacted the substrate “in between” oscillations, and thus, as a sphere. [20,21] Thus, several methods for large droplet production in Earth gravity, including sonic levitation, and simple valve mechanisms, which quickly release a quantity of water, are not usable. Even if a large droplet is formed into a perfect sphere, when it is accelerated due to gravity, it will deform and possibly break apart by the same destabilizing forces that make it splash. These effects will ruin the symmetry of the experiment, and will not yield the results we are looking for. Although the role of gravity is not mentioned in the past research on splashing phenomena, we are also interested to see if it plays a previously unidentified role in splashing. Gravity could well be a dampening force on the rebound splash. As stated above, this is new physics that we are seeking to understand. The reduced gravity environment will allow us to not only scale the drop sizes but observe differences between the ground based control tests, including experiments by other groups as well as our own preflight testing, and the trials run in microgravity. These factors make the microgravity environment an ideal place to study splashing effects in low atmospheric conditions. It allows us to form large droplets, as we can make them effectively as large as we want, allow them to come to spherical equilibrium, then cause them to impact upon the glass surface by moving the vacuum chamber, rather then actually moving the droplet. As this is not possible on Earth, we will expand the testable regime of this phenomenon by a factor of 5 over what was previously tested. In addition, we may also be able to notice subtle effects of gravity upon the splashing phenomenon, which we hope to quantify and incorporate into the model. I.3 Test Objectives I.3.A Aim of Experiment Although the model that Xu, Zhang, and Nagel developed holds for the experimental data they were able to collect, they were not able to test all ranges of variables. Because their experiments were conducted in regular gravity, they were limited in the size of the drops they were able to test, namely they could not test drops larger than 3.4 mm in diameter. Under standard Earth gravity, the weight of the drop pulls it off the drop injector before its mass, and therefore its size, can get too large. In microgravity, we will be able to form larger drop sizes[6] and test the scaling of their proposed model. Therefore, the aim of this experiment is to test the physics of splashing effects in a drop size regime previously untested. We have been in contact with the University of Chicago team, and they agree that our results from this experiment will greatly help in understanding the phenomenon. Our experiment will test four different drop sizes, 1, 2, 3, and 5 times the size of the drop tested in the ground based lab. We will test the model by observing the difference between the calculated and observed threshold pressure for each drop size. All other parameters will remain constant throughout. High-speed photography will allow us to 10/62 observe the experimental threshold pressure. A plot of threshold pressure vs. drop size will be created and compared with the expectation graph. This is an exciting experiment, as we are combining new science with a novel application of microgravity to expand the range of understanding of a phenomenon. This is the first time this experiment will be conducted for large drops at all, let alone in a microgravity environment. I.3.B Follow Up Justification To the best of the authors’ knowledge, this experiment has never been tested microgravity. It is a novel application of microgravity to test a newly discovered phenomenon. This is also the first proposal submitted to the NASA Reduced Gravity Student Flight Opportunities Program by a Fairfield University team. I.3.C Ground-Based Experiments The original experiment of this type was conducted under standard Earth gravity by researchers at the University of Chicago [20,21]. Xu, Zhang and Nagel created drops of the same size and spherical shape while varying other parameters, including the velocity of the drop at impact, different gases and liquids, and most importantly, the pressure of the surrounding gas. To determine the threshold pressure, the University of Chicago team kept the drop size and all other variables constant, but varied the pressure for each trial until the pressure at which the splash no longer occurs was found. A highspeed camera was used to capture the behavior of the liquid at the moment of impact. 11/62 Figure 1.3.B.1. Photographs depicting the dependence of splashing on atmospheric pressure. Each row shows the time evolution of a single alcohol drop impacting on a glass substrate. [21] In Figure 1.3.B.1, the top row shows a drop under normal atmospheric conditions, where splashing clearly occurs. The proceeding rows depict drops impacting under decreased atmospheric pressure, and splashing can also be seen to decrease, until finally the threshold pressure is reached and no splashing results. [21] Figure 1.3.B.2. A blowup of picture top row, second from left, correlating to standard atmospheric pressure at time t = 0.726 ms. Note the crown deflected upwards by the air pocket, as indicated by the red arrows. [21] I.3.D Expectation of Results 12/62 Plot I.3.1. The threshold curve: Atmospheric Pressure vs. Drop Diameter. Note the inverse square root relationship. We will be testing one drop size as they did on Earth, then scaling the drop size by factors of 2, 3, and 5. Below the plotted curve, no splashing occurs; above the curve, splashing does occur. The area to the left of the red line has been tested under earth gravity. The area to the right of the red line has not yet been possible to test. We will experimentally determine the shape of the curve in this region as it conforms or deviates from expectation. We expect to see results which confirm the model presented by researchers Xu, Zhang, and Nagel. For the four different drop sizes of ethanol, we have calculated radii of R1x = 1.7mm, R2x = 3.4mm, R3x = 5.1mm and R5x = 8.5mm. (Please see appendix for scaling these values for water). These size drops yield theoretical threshold pressures: Diameter (mm) 3.4 6.8 10.2 17 Threshold Pressure (kPa) 41.91 29.63 24.20 18.74 From the high-speed photography of the drop impact at different pressures, we will be able to determine the threshold pressure of the system to an accuracy of ±1% error. At pressures higher than the threshold value, a corona splash will occur. At pressures lower than the threshold value, no drops will be emitted from the drop impact, although at 13/62 values near the threshold pressure, ripples will occur on the expanding rim of the liquid[21]. The first drop size will function as our control, as it is the same size used in the University of Chicago tests. Another interpretation is to look directly at the ratio in Eq. 3 for each drop size: Plot I.3.2. The expected stress ratios. Note expected threshold pressure when the stress ratio is 9/20. While we are testing Xu, Zhang and Nagel’s model and expect our result to confirm their theory, we maybe also observe a deviation from their model. Although it is very clear from their experiments that the presence of gas plays a significant role in splashing, it is not completely clear that a shock wave must travel through the gas. Perhaps the gas compresses and pushes back up against the drop but does not cause a shock wave. Also, there is nothing in the stress ratios taking the compressibility of the liquid into account. As Field, Lesser and Dear suggest, perhaps a shock wave travels through the drop caused by the compressibility of the liquid [3,5]. By testing the proposed model with larger drop sizes we may find inconsistencies or missing pieces which are not observable with smaller drop sizes. 14/62 Prior to arrival at the Johnson Space Center, we will conduct ground based tests using our apparatus as a control, and to repeat and verify the results obtained by the University of Chicago group. I.3.E Experimental Design and Procedure I.3.E.1 Experimental Apparatus Our experimental design is a modification of an apparatus built to test water droplets impacting on a thin sheet of water in microgravity, where it successfully accomplished the task.[6] We have changed it to suit our needs, but there already exists a proof of concept. We have discussed our design and procedure with the University of Chicago team, [19] who agrees that it should be successful in gathering the data required to confirm or deny our hypothesis in the 60 parabolic loops of 23 seconds of microgravity each. The experimental apparatus consists of an aluminum frame structure, a shockinsulating base, a belt drive shaft, an inertial sled, a vacuum chamber, a digitally controlled injector, an impact apparatus, a high-speed digital camera, a digitally controlled vacuum compressor, and an onboard computer system. The apparatus is designed to mount horizontally on the floor of the aircraft. Once in microgravity conditions, we will form a free-floating drop, and then accelerate an impact surface towards the drop in a controlled manner, to simulate a drop ‘falling’ in gravity. The impact surface is contained in a vacuum chamber, along with the drop injector, all of which will move as a unit as controlled by the drive belt. Figure I.3.D.1 A to-scale concept model of our experimental apparatus, with the protective cover open, and the sled in the ending position Figure I.3.D.1 is a to-scale front-view 3D model of our design concept. The following components are highlighted: 15/62 1. 2. 3. 4. 5. 6. Computer Drive Belt Controller Drive Belt Camera Controller Camera Head Vacuum Compressor 7. 8. 9. 10. 11. 12. Power Supply Impact Surface Protective Case Vacuum Chamber Mirror Injector These components are detailed in sections II.3 - 6. I.3.E.2 Experimental Procedure To set up the apparatus for a particular trial run, we will need to first set the pressure of the vacuum chamber using the digitally-controlled compressor. The chamber has a fairly small volume of air, which will make it very quick and easy for our compressor to control the pressure inside. Additionally, on each flight day we will be testing two different drop sizes with one needle size for each day. This will eliminate the need to switch needles. We will simply control the droplet size with the digital syringe, which allows for very accurate volumetric measurements that provide us with a repeatable drop diameter of only ±0.1mm. All computer equipment will be online and idle prior to starting. When the aircraft reaches microgravity, we will form a drop of a specified size. The digitally-controlled injector is mounted inside the vacuum chamber and can produce a drop size at the appropriate diameter in just a few seconds. Once fully formed, the drop will be detached from the needle’s nose by producing a sharp and momentary acceleration of the sled to dislodge the drop[6]. After the drop is formed and released, we will let it float freely for a short period of time to stabilize into a sphere. A water droplet 1 cc in volume takes approximately 100 ms to stabilize. The time will be calculated for each drop size. Once in this position, there is approximately 8 inches (20.32 cm) to accelerate the sled and chamber such that the plate collides with the drop at velocity of 3 m/s. The required acceleration is easily found using kinematics, as is calculated for ethanol: 2 2 V f = Vo + 2ad m 2 ) = 2a (0.2032m) s m a = 22.15 2 s (3 The maximum instantaneous force our drive shaft can apply to the belt is 2450 N; this imposes a weight limitation of the inertial sled; we can verify that this will not be a problem: our sled will weigh no more than 20.41 kg Let us calculate the maximum weight for this acceleration. 16/62 Fmax = mmax a (2450 N ) = mmax (22.15 m ) s2 mmax = 110.6kg The available 8 inches to accelerate the sled is enough room. We can determine the actual force we will need to give our sled: F = ma F = (20.41kg )(22.15 m ) s2 F = 452.1N Additionally, it will not affect the experiment if the sled is accelerating or in constant velocity when we observe the collision between the plate and the drop. The time interval over which we will make our observations is under 2ms, during which time the presence of acceleration will introduce less than a 1.5% error in the velocity: "V = at "V = (22.15 E= m m )(2 ! 10 #3 s ) = .0443 2 s s !v 0.0443 ms = = 0.0148 v 3 ms The drop will remain 8 inches away from the collision plate until the sled begins to move, assuming any initial velocity imparted on the drop was nullified or compensated for. On our onboard computer, we will trigger the drive shaft to begin accelerating. The software component that triggers the shaft will automatically activate our high-speed digital camera (which is mounted on the sled and focused at the point of impact for the drop) at the appropriate interval later: 1 2 at 2 2d t= = a d= (0.2032m)(2) m 22.15 2 s t = 0.135s The computer will trigger the belt through a PLC controller, and then wait the predetermined interval to activate the camera. The computer will stop the camera 2 ms after the drop impact. All the data will be bounced to the computer and saved on the hard 17/62 drive in uncompressed format. This storage method requires approximately 8GB / 3 seconds of recording, so for 30 trials with recording in the order of milliseconds, a typical hard drive will be plenty to store the uncompressed images. The sled will have moved a total of: 1 2 1 m at = (22.15 2 )(0.135s ) 2 2 2 s d = 0.202m d= We will use the remaining distance to decelerate the sled as slowly as possible, a deceleration which will be automatically initiated after the impact by the onboard computer. The full running length of the sled is 48cm. The deceleration needed to stop the sled is equal to: v 2f = v02 + 2ad m )(0.137 s )]2 + 2(a )(0.48m ! 0.202m) s m a = !16.56 2 s 0 = [(22.15 The majority of the drop liquid will stick to the impact surface due simply to adhesion compared to this deceleration rate. Should any liquid from the drop leave the surface as the sled decelerates, it will collide with the sponge-lined casing around the collision point and be absorbed via capillary action. Additionally, when the plane enters a 2-g climb, any free-floating liquid inside the collision cage will fall into a Chemical Pillow at the bottom of the chamber. This absorption pillow was tested with 300 cc’s of liquid (approximately 20 times the total amount of liquid that will be used on a given flight day) and it absorbed the liquid completely, without becoming saturated, and without “loosing” the absorbed liquid when squeezed or subjected to approximately 4g of acceleration. When the sled is decelerated to a stop, the trial will be complete. Including the drop detach and the sled acceleration/deceleration, each experimental run should be completed in less than 10 seconds. The sled is will be returned to the starting position by the computer. Once we will exit microgravity and begin the assent for the next drop, the glass impact plate will be manually advanced to expose a new dry surface for the next trial and the vacuum compressor will be cycled to adjust the pressure of the chamber. Both of these steps will only take a few seconds. The drop size will only need to be adjusted on the digital injector once on each flight day; it will already be set for the first set of flights, and will need to be changed to the new volume during the flight. After all data is collected, we will have a collection of side-view images of each impact. We will conduct post-flight image possessing, including measuring the height of 18/62 splash waves, the duration of the disruptions, the true size of the impact droplet (through a grid on the back of the vacuum chamber) and the magnitude of liquid rebound, which are sufficient parameters to verify the validity of the model. Additionally, we will correlate our data with the temperature, pressure, and speed of the sled, all of which will be captured to the computer to verify our hypothesis. I.3.E.3 Additional Considerations There are a few subtleties that we will consider and resolve prior to the actual flight. Included is a description of these subtleties as well as the possible resolutions to eliminate them. Air Compression inside the chamber As the sled accelerates towards the water drop, there will be a known non-linear compression of the residual atmosphere. This can be calculated easily, and the atmospheric pressure will be adjusted to create the desired local pressure surrounding the drop impact. Non-Spherical Drops Depending on the method used to detach the drops from the injector, the drop may have some initial oscillation. It is preferable that the collision with the plate occurs when the drop is spherical. The period of oscillation of the drop shape can be calculated and compensated for in the procedure[20,21]. We will wait an appropriate amount of time for the oscillations to die down due to surface tension. This does not pose any significant problem. Aircraft vibrations By properly insulating the base of our structure, no large vibrations should affect the apparatus. The foam will dampen both high and low frequency vibrations induced by the aircraft, and the remaining vibration will not affect the experiment. The timescale of measurement on each drop is 2ms, which is too short for motion from normal aircraft turbulence to interfere with. I.3.E.4 Experiment Flight Plan The following is a tentative flight plan outlining which runs will be used for calibration, testing, data collection, and outreach. Please note that this is calculated using ethanol as the working fluid. See appendix for a water based flight plan. Day 1 Arc # 1 Diameter(mm) Practice Trial Flight Plan Day 2 Pressure(kPa) Arc # Practice Trial 31 Diameter(mm) Practice Trial Pressure(kPa) Practice Trial 19/62 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Practice Trial 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 3.4 Practice Trial 6.8 6.8 6.8 6.8 6.8 6.8 6.8 6.8 6.8 6.8 6.8 Extra Outreach Outreach Outreach Outreach Practice Trial 37.7 38.6 39.4 40.2 41.1 41.9 42.7 43.6 44.4 45.3 46.1 Practice Trial 50.9 50.0 49.1 48.2 47.2 46.3 45.4 44.4 43.5 42.6 41.7 Extra Outreach Outreach Outreach Outreach 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Practice Trial 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 Practice Trial 17 17 17 17 17 17 17 17 17 17 17 Extra Outreach Outreach Outreach Outreach Practice Trial 41.6 40.8 40.1 39.3 38.6 37.8 37.0 36.3 35.5 34.8 34.0 Practice Trial 32.2 31.6 31.0 30.5 29.9 29.3 28.7 28.1 27.5 26.9 26.4 Extra Outreach Outreach Outreach Outreach 1.3.F Analysis of Quantitative/Qualitative Data Collected During our proposed investigation, we will record high frame rate video of the impact of drops of various sizes over a range of atmospheric pressures. From this video, we will be able to observe whether or not splashing occurs for a given drop size and atmospheric pressure. By analyzing the video for a given drop size over the full range of pressures tested, we will be able to determine the threshold pressure to within an acceptable level of error. This will enable us to determine how threshold pressure scales with drop size. If we find that the current model does not apply to large drops, we will be in a position to 20/62 propose a new model that correctly predicts the behavior of drops over a wider range of radii. There are numerous computer applications with which we may analyze the high frame rate video captured during the experiment. Although we have not yet decided on a specific software package, it appears as though we will settle on ITT’s IDL package. It offers numerous features which will prove invaluable during our data analysis. The package supports a wide variety of input formats, allows for easy data visualization, and contains a panoply of mathematical and graphing functions. I.4 Justification for Follow-Up Flight This is the first proposal submitted by Fairfield University, and the first test of this phenomenon in microgravity. Thus, this section is not applicable. I.5. References [1] CRC Handbook of Chemistry and Physics, 86th Edition. [2] "Edgerton, Harold E.: falling drop of milk." Online Photograph. Encyclopædia Britannica Online. 6 Nov. 2006 [3] Field, J.E., M.B. Lesser, J.P. Dear. “Studies of two-dimensional liquid-wedge impact and their relevance to liquid-drop impact problems.” Proceedings of the Royal Society of London. (1985) [4] Fowles, Grant, and George Cassiday. Analytical Mechanics. Seventh ed. Belmont, CA: n.p., 2005. [5] Lesser, M.B., “Analytic solutions of liquid-drop impact problems.” Proceedings of the Royal Society of London. (1980) [6] López, J. M., et al. "The Orbital Liquid Experiment (OLE)." Unpublished essay. European Space Agency. Feb. 2002. 27 Oct. 2006 [7] Purvis, R., F. T. Smith. “Droplet impact on water layers: post-impact analysis and computations.” Philosophical Transactions of the Royal Society A 363 (2005). [8] Quero, M., et al. "Analysis of Super-cooled Water Droplet Impact on a Thin Water Layer and Ice Growth." 44th AIAA Aerospace Sciences Meeting and Exhibit. Reno, NV. 2006. 21/62 [9] Rioboo, R., M. Marengo, C. Tropea. “Time Evolution of Liquid Drop Impact onto Solid, Dry Surfaces.” Experiments in Fluids 33 (2002). [10] Robinson, David, et al. “Development of a Device to Deploy Fluid Droplets in Microgravity.” NASA Lewis Research Center. 1997. [11] Schroeder, Daniel. An Introduction to Thermal Physics. N.p.: Addison Wesley Longman, 2000. [12] Stow, C. D., M. G. Hadfield. “An Experimental Investigation of Fluid Flow Resulting from the Impact of a Water Drop with an Unyielding Dry Surface.” Proceedings of the Royal Society of London 373 (1981). [13] Suryo, Ronald and Osman A. Basaran. "Dripping of a Liquid from a Tube in the Absence of Gravity." Physical Review Letters (2006) [14] Thoroddsen, S. T., J. Sakakibara. “Evolution of the fingering pattern of an impacting drop.” Physics of Fluids 10 (1998). [15] Suryo, Ronald and Osman A. Basaran. "Dripping of a Liquid from a Tube in the Absence of Gravity." Physical Review Letters (2006) [16] Worthington, A. M. “On the Forms Assumed by Drops of Liquids Falling Vertically on a Horizontal Plate.” Proceedings of the Royal Society of London 25 (18761877). [17] Thoroddsen, S. T., J. Sakakibara. “Evolution of the fingering pattern of an impacting drop.” Physics of Fluids 10 (1998). [18] Woodward, Roger. “Surface Tension Measurements Using the Drop Shape Method ” 2001. First Ten Angstroms. [19] Xu, Lei. Personal correspondence. Oct/Nov 2006. [20] Xu, Lei, Loreto Barcos, Sidney R. Nagel. “Splashing of liquids: interplay of surrounding gas and surface roughness.” Unpublished essay. August 7, 2006. 27 Oct. 2006 [21] Xu, Lei, Wendy W. Zhang, and Sidney R. Nagel. "Drop Splashing on a Dry Smooth Surface." Physical Review Letters 94 (2005). 22/62 [22] Yarin, A. L., D. A. Weiss. “Impact of Drops on Solid Surfaces: Self-Similar Capillary Waves, and Splashing as a New Type of Kinematic Discontinuity.” Journal of Fluid Mechanics 283 (1995). 23/62 II. Safety II.1 Flight Manifest Role Flyers: Name Stupak, John Hermalyn, Brendan Zaffetti, Michael Kurose, Jessica Previous Experience No previous program experience No previous program experience No previous program experience No previous program experience Alternate Flyer: Hunter, Brittany No previous program experience II.2 Experiment Description/Background The Fairfield Drop Team is conducting an experiment to better understand the dependence of splashing on drop size. Under standard earth gravity, there is a maximum drop size which can be tested(≈4mm diameter). Beyond this limit, as the drop forms on the injector, gravity eventually overpowers the adhesive force between the injector and drop, thereby pulling the drop off the injector prematurely. This problem is alleviated in microgravity. We will be able to test drops up to 17mm in diameter. Again, it should be said that we will be using a modification of an already proven apparatus to test drop impacts in microgravity. We have full confidence that our experimental set up will allow us to capture the data we need to support our hypothesis. We propose to test 4 large drop sizes. For each drop size we will perform 11 tests at various atmospheric pressures. Below a certain pressure, namely, the threshold pressure, splashing ceases to occur. A high frame rate video camera will capture the impact and subsequent splashing(or lack thereof). From ground based work we have expected values for the threshold pressure of each drop size. The 11 tests for each drop size will cover ±10% of the expected threshold pressure. If the predicted values are erroneous, they should still fall within ±10% of the expected values. In this way we will be able to determine the dependence of threshold pressure on drop size. An experiment of this nature will yield the most accurate results attainable. This experiment has not flown prior to the current program. This is not a re-flight. II.3 Equipment Description 24/62 The following diagrams identify the equipment used for our experimental apparatus. The models are conceptual, although they are drawn to scale, and are based on proven experimental methods used for similar research. Figure II.3.1 This is Figure I.3.D.1 reprinted. Components are described by number below. An alternate view of the 3D model is provided: Figure II.3.2. A top view of the model of the apparatus. Onboard Computer System (#1) We will have a personal computer with a serial port, running custom software that will orchestrate the timing of the various components, including the drive shaft and the camera. The computer does not move during the trials – it is mounted to the apparatus on 25/62 the outside of the cover. The purpose of the computer is data storage and experiment timing. The computer will be custom built for this project with a high-speed, solid-state 3.5” hard-drive, with a storage capacity of roughly 12 GB. This primary hard-drive is the cache drive that will receive the stream of image data from the camera. A daemon (or other script) running on the system will move the data from the solid-state hard-drive to a secondary repository hard-drive, whenever the cache drive is idle. The secondary hard-drive is a standard 7200RPM hard-drive with over 100GB of storage space. The storage capacity needed is not significant; over a 2ms recording interval, our camera will capture from 8 to 32 frames, depending on the operation speed we decide to use. Each frame is uncompressed and requires approximately 1 MB of space. On either given flight day, no more than 1GB of data should be collected. The emphasis of the computer system is the fast capturing of the data from the camera controller to prevent stalls in the frame-rate. Belt Drive-Shaft (#2, 3) The belt provides the accelerating force to create our collision by moving the plate mounted on the sled to collide with the drop. The belt-drive linear actuator offers axial thrust from 240 N (54 lbs.) to 2,490 N (560 lbs.). The carrier section is constructed out of anodized, torque-resistant, extruded aluminum. Travel speeds of up to 5 M/sec. (16 ft./sec.) with repeatable accuracy to within ± 0.2 mm (0.008 in.) at 2,000 mm (78.74 in.). PLC-interface utilized for computer interfacing. The belt shaft is housed inside the aluminum cover and closed at all times during operation. The equipment is rated for load and speed performance almost twice as high as our intended use. High-Speed Digital Camera (#4, #5) A digital camera capable of capturing at least 4000 frames / second, to resolve steps smaller than 0.25ms, is mounted on the sled outside the vacuum chamber, and focused on the impact surface where the drop will hit. This equipment will be rented, and is rated for high acceleration – it is the same equipment used in car crash video recording which is subjected to considerably more g loads than anything we will be working with. 26/62 Digital Vacuum Compressor (#6) A compressor that can compress a vacuum chamber based on digital input; range needed is standard atmosphere to roughly 1/4th standard atmosphere (26kPa). There will be a filter on the compressor to absorb any evaporated ethanol and prevent it from leaving the system. Power Supply (#7) This is the unit that must receive power from the aircraft, and it divides power into sockets for the other devices to connect to. All power output is 115V 60Hz. Impact Apparatus (#8) We are testing two different methods for the impact apparatus on the ground, and will use the one that is most efficient. The requirements for the experiment are that for each trial we have a dry flat surface to hit our drops with; we do not want to open the vacuum chamber between trials for a number of reasons, so the device must be self-contained. One solution is to have the drops collide with a thin glass plate, like a microscope slide. A number of these plates will be positioned around the end of a large thin disk. After each trial, the disk is rotated a fixed number of degrees to reveal a new, dry, impact surface for the next trial. Again a combination of sponges and absorbent materials would contain fluids that escaped the surface, and those that didn’t would be advanced through sponge-rollers and absorbed. An alternative is to have a roll of thin plastic material stretched over a slightly cylindrical metal surface. The film is drawn by an electric motor, and locked in place by a ratchet on a solenoid. During a test run, all components are still, and are not released until the sled is stationary. The impact surface would be surrounded by a Plexiglas cage, lined with sponges except for a view port for the camera. This cage would also have a small opening large enough for drops up to 17mm diameter to pass without touching the sides. The material is pulled over a slightly curved surface to ensure firm contact with the surface, and ensure no air can get underneath the film. The cage will catch any liquid that escapes the surface during deceleration of the sled, and prevents the other components from getting wet. The film would be mounted on rollers that slide past a sponge so that after a trial, the roller can advance the tape to a dry surface and the experiment can be repeated without breaking the vacuum seal. 27/62 No components inside the vacuum chamber are ethanol sensitive, and the involved quantities of ethanol over the course of a flight are not substantial enough to pose any dangers. This will not, of course, be a consideration if water is used. An important consideration to make sure the impact apparatus is able to advance to a dry surface after each trial is how much the drop will spread out after impact. Creating chambers on the impact surface would confine the spread to a fixed region; however, the introduction of barriers in this manner will cause secondary waves to reflect back from the walls, and interfere with the splash. To avoid the complications associated with that, we would like the drops to extend as far as possible. Based on ground experiments, a drop of ethanol will spread on glass until it has as resting depth of 1mm (on the average). Therefore given our largest drop size of diameter d = 17mm: 4 d 2 "( ) 3 2 1 V = " (0.017) 2 3 V = 2.57x10#6 m 3 V= ! This same volume can be expected to spread into a cylinder with a height of 1mm and a diameter D of: D V = " ( )2 h 2 thus 4V 2.57 =2 h" " 3 D = 0.0573m = 57.3mm 3 D= In the general case, we can determine that: ! 4 d 3 D " ( ) = " ( )2 h 3 2 2 d 6d 3 D= = 25.819 # d 2 3 h We have tabulated the expected spread for our drop sizes in ethanol: ! Drop Size (diameter) 3.4 mm 6.8 mm 10.2 mm 17 mm Expected Spread (diameter) 5.11 mm 14.5 mm 26.6 mm 57.2 mm 28/62 To give some tolerance on these estimated calculations, the impact plate allocates an area of at least 30% more than the expected spread. On the first flight day, that means a 20mm diameter impact surface, and on the second flight day that requires a 80mm diameter for each trial. Walls are places at the 80mm mark; should the spread be significantly higher than found on ground trials, reflected waves would have to travel 15 centimeters before returning to the original impact site. Even if this occurs, the amplitude of returning waves after that distance would be highly damped, and the time it would take them to arrive back will be outside of our observation window. Safety Cover (#9) All moving parts are contained inside an aluminum container with a Plexiglas access panel on the top. The access panel has a key-lock that will be secured before, and remain secured during, each trial. The panel will only be opened when the device is not running. The cover it to prevent accidental contact with moving parts when the apparatus is in operation. Vacuum Chamber (#10) The vacuum chamber is either a reinforced glass chamber, or a ceramic chamber approximately 6”x6”x12”. Also contained in the chamber is the digital injector. This chamber provides our controlled-pressure environment. The chamber and all equipment inside are rated to below 1kPa, but we will not go below 26kPa for this experiment. We will also not be experimenting with any high-pressure environments; the maximum pressure will be standard atmospheric pressure. Digital Variable Injector (#12) A Teflon-tipped needle injector mounted firmly at the top of the vacuum chamber. The injector can create drops of specified sizes (specified digitally in cubic-centimeters), specifically sizes (ethanol): Size (CC) 0.121 0.484 1.09 3.03 Diameter (mm) 3.4 6.8 10.2 17 Scale 1x 2x 3x 5x Tolerance (CC) 0.001 0.001 0.01 0.01 The injector device has no moving parts, and can sustain the intended accelerations. 29/62 Aluminum Structure The frame for the apparatus is constructed out of hollowed aluminum for durability and strength. The entire apparatus will be bolted to the floor at the ends. The drive shaft is going to accelerate a 45 pound (this is the maximum figure we are considering – our expected weight is 30% less) sled at 22.12 ms which will provide a considerable torque on the shaft. The center of mass of the sled sits about 4 inches (10.16cm) out from the drive shaft belt so on the initial launch, this will produce a torque: ! "=F#r " = (452.1N)(0.1016)cos(90) " = 45.93kg ! This is not a substantial force if the device is properly bolted to the floor. The shear stress involved is far below the critical limit of standard bolts. Shock-Insulating Base The base is comprised of two metal sheets sandwiching high-density foam padding, with high and low frequency dampening. Vibrations of the aircraft in any direction will be minimized with the padding. Also, given the time interval of the experiment, even moderate vibrations should have little effect. Inertial Sled The sled is a metal plate firmly mounted to the belt on the drive shaft. Mounted on the sled are a vacuum chamber, a digital high-speed camera, and a small mirror and lens apparatus positioned to focus the camera properly. All equipment firmly attached to the sled and well below the load rating on the sled. 30/62 II.4 Structural Design The material under consideration for the base is Aluminum which weighs 0.356 pounds / linear foot. For the amount of aluminum needed for various frame components, the estimated weight is about 12 pounds. The drive track and controller together weigh approximately 40 pounds. The camera head weighs 2.2 pounds, and its controller weighs 12.13 pounds. The vacuum chamber weights around 10 pounds, and the compressor around 50 pounds. The computer equipment will weigh less than 10 pounds. The remaining structure will be constructed out of a polycarbonate material (such as Lexan) and will weigh 18 pounds total. The total estimated weight of the apparatus is around 200 pounds, well under the maximum weight limit. II.5 Electrical System The computer equipment, as well as the digital injector and vacuum compressor, have electrical requirements of 115V 60Hz. These systems do not require any custom power wiring; they only need to be plugged in. Power is required throughout the flight both during and in between trials. The only custom wiring will be the connectivity between the computer and the camera, and the computer and the PLC controller on the linear drive shaft. The platform is stationary at all times, so the COM port wires between the shaft and the computer will be unmoving and fixed out of the way of moving equipment. The wires connected between the camera and the camera PCI controller on the computer will need to move. They are fixed on the computer end, but must ride with the sled on the camera end. To achieve this, these wires are guided to a position about 18” above the sled, without coming near the path of motion for the sled. Centered over the drive shaft, the wires now 31/62 connect to the camera from above. The motion of the sled is 48” total, or 24” to either side of the axis where the wires are attached to the top. From this height, the motion of the wires to follow the sled is not substantial. Furthermore, the required length of the wires from the fixed position centered at the top is 30 inches; the most slack that the wire will experience is at the halfway point for the sled, where there will be 12 inches of slack in the wire. 12 inches total allows an additional hang of 6 inches down (and the other six back up), which is not enough to come into contact with any stationary parts while in motion, nor to drag on the track while the sled is moving. The wires will trail from the back of the sled, but even if they were to come off the front, the slack would not be enough at its maximum to catch under the sled while it moved. Lastly, the adaptor that plugs into the back of the camera does not need to screw in. If we leave the plug unscrewed, then should it catch something in an unforeseen circumstance, the plug will simply pull out and no damage will be done the experiment or the equipment. II.6 Pressure/Vacuum System This experiment relies on a plastic vacuum chamber that will be de-pressurized to varying pressures, no lower than 10 kPa, and no higher than standard atmospheric pressure. Initial trials will start close to standard pressure, and successive trials will decrease the internal pressure incrementally. When the trials are complete for a given day, the vacuum compressor can restore normal pressure in a very controlled manner. The pressures involved are not particularly drastic, and do not change rapidly or explosively at any point in the experiment. Similar vacuum chambers are capable of supporting vacuums 10 times more powerful; i.e. 100 Pa, or more. Thus the pressures used in the experiment are well within the operational limits of the chamber. We will be using a digitally controlled vacuum pump to control the pressure in the chamber. We anticipate that this will be controlled via computer. The vacuum pump will be cycled on only when needed, and will operate over a range of ±10% of the calculated threshold pressure for each droplet size. This requires an accuracy of approximately 0.1 kPa. Most digitally controlled vacuum pumps are accurate in increments of 50 Pa or better, and thus this will not pose a problem. The vacuum chamber will be pressure tested in the lab down to at least 100 Pa to ensure there will be no leaks. We will be mounting a fluid trap inline with the filter to ensure that none of the vaporized liquids escape into the cabin of the airplane, as well as a preventive measure to prevent fouling the pump. We also have the option of dumping removed air out the gas evacuation tubing on the DC-9. Since II.7 Laser System No lasers contained in this experiment. II.8 Crew Assistance Requirements No special duties will be required of the Flight Crew. 32/62 II.9 Institutional Review Board No human, animal, or other biological substances are involved in this experiment. Therefore, the services of the Institutional Review Board will not be necessary. II.10 Hazard Analysis 1. Structural Failure Description: The frame of the experiment bends or breaks Causes: Severe g-loads on board the DC-9; excessive vibration Results: Components of experiment move freely about the cabin. Safety Precautions: All components of the experiment will be bolted securely to the base plate; each bolt will be secured with a thread locking substance. The base plate mounted on a layer of foam to reduce vibrations. Additionally, the frame of the experiment (as well as the interior parts) will be built to withstand approximately 6g of acceleration, which is well beyond the maximum 3g that the DC-9 is capable of. All of the moving parts of the experiment are enclosed inside a Lexan chamber for safety. 2. Sled Detachment Description: The vacuum chamber or parts inside become detached from the sled during or between loops. Causes: Force of linear drive, failure of attachment devices, breaking of attachment points Results: Components are no longer connected to linear drive. Safety Precautions: As the linear drive accelerates with a fair degree of force, we have designed the vacuum chamber assembly with a high factor of safety. The Plexiglas chamber is cocooned and supported by a steel plate, which is bolted to the linear drive sled. This puts the force of the accelerations on the plate, and not the Plexiglas; the metal has a much higher shear strength. The only moving part inside the vacuum chamber is the impact surface, which rotates to allow each drop to impinge upon a dry glass surface. All glass will be mounted with epoxy. All components of the experiment will be mounted and bench tested to 15g prior to flight. In addition, the large acceleration is in the same direction as the glue acts; i.e. the initial yank pulls the glass onto its substrate rather then away from it. The acceleration to slow the chamber is much less then the initial pull to release the drop and impact the drop on the surface. In case there is a failure, however, the chamber and pieces will be moving ballistically unattached. The Lexan cover for the moving portion of the apparatus will contain the parts, and not allow them to simply float around inside the cabin. In addition, the side of the box that the linear drive will accelerate the apparatus towards will be constructed out of sheet steel rather than 33/62 Lexan to ensure that even if the parts do impact that surface, they will not be able to break through the containment box and escape into the cabin. 3. Electrical Failure Description: Short circuit, overload, or faulty ground Causes: Forces and vibration on DC-9 sufficient to break or disconnect wires, fluid leak Results: Experiment powers down Safety Precautions: Circuit breakers will be installed in the power supply in case there is an electrical fault. All fluids are in a closed system; the only possible way to have a fluid contact an electrical component is if that system leaks (see below). As soon as any device experiences a fault, the circuit breaker will cut off power to that device. A thin rubber mat will be placed between the electrical components (such as the vacuum pump and camera box) and the base plate, which will reduce transmitted vibration and also insulate the devices from the metallic base plate. 4. Fluid Containment Failure Description: The closed fluid system leaks Causes: Excessive vibration, hose rupture, containment vessel(s) crack Results: The test fluid leaks onto moving parts, electrical devices, and viewing surfaces. Safety Precautions: All hoses will be securely clamped, and rechecked before each flight. The tubing used in the experimental setup have a minimum burst rating of 300 psi, three orders of magnitude larger then the pressures we expect. We have designed a nested box arrangement for our clear containment boxes so that even if one should crack (although this is highly unlikely; see #1 above) the next box will catch any spilled liquid without it leaking into the cabin of the aircraft. We will also be lining the bottom of the vacuum chamber and containment chamber with desiccant bags to absorb the used drop liquid in the chamber, and to ensure all leaks are contained. In addition, none of the liquids we are considering are corrosive, and will not present a problem. The linear drive is fairly immune to liquids along its length; only the electrical motor at the end of it is susceptible. If liquid does come in contact with any electrical components, the experiment will be shut down and we will use wipes to absorb all moisture before continuing the experiment. 5. Syringe Failure Description: The syringe comes off of the apparatus, or breaks Causes: Excessive vibration, sharp acceleration Results: Syringe and possibly needle are free to move. Safety Precautions: We are using a digital syringe to allow for not only more accurate droplet size formation, but also for more robust design. A digital syringe, which has the reservoir inside a plastic container, is much less prone to breaking then, say, a high-end glass syringe. Our design has 34/62 the needle apparatus inside the vacuum chamber, and thus not prone to breaking. We will construct a bracket around the syringe to minimize shear stress on the connection point. Additionally, we will tether the syringe to the apparatus in case of failure so that it does not freely move about inside the containment area. 6. Optical Obscuration Description: Test liquid is incident upon the optical glass in the vacuum chamber, obscuring the view of the camera lens. Causes: Sudden, sharp change of altitude and position of DC-9, splashing of droplet Results: Camera cannot focus on drop impact area Safety Precautions: Although not a safety concern per se, we will address this issue here as it is integral to the functioning of our experiment. Because the time between drop release and impact is so short, it would require a vertical acceleration several times larger than the DC-9 is designed to attain in order to appreciably divert the droplet. We have designed the chamber in such a way that the optical glass is many times further away from the droplet impact then we calculate the splash will propagate. The position of the optical glass also implies that the camera, which will be focused further into the chamber, will simply not see a very small amount of liquid on it. In the very unlikely event that fluids do come in contact with the optical glass, we have devised a procedure to clean it. First, the 1.8g pullout from the microgravity environment will cause all fluids to migrate towards the bottom of the vacuum chamber, which is lined in desiccant bags. If that is not sufficient to pull the liquid off the optical glass, we will power down the experiment, open the access hatch to the drive bay, depressurize the vacuum chamber, open the top, and wipe the glass with a chem. wipe. The process will then be reversed, closing the vacuum chamber, resealing the hatch, and powering up the experiment again. The vacuum pump will be cycled on and the chamber will be returned to vacuum. We estimate this whole process, a last resort, will take no more then 3 minutes. II.11 Tool Requirements We will bring all of the tools we need to assemble our apparatus at the Johnson Space Center with us, including ratchets, screwdrivers, and pliers. We do not require any tools to operate the experiment on board the DC-9; however, we would like to bring a flathead screwdriver and needle nose pliers with us during the flight in case we need to make an adjustment in the vacuum chamber. 35/62 II.12 Ground Support Requirements We will require a 115V power supply in order to test our electrical and data acquisition systems. II.13 Hazardous Materials We are still considering a few different liquids for our tests. Ethanol is the liquid used in the University of Chicago tests. It will wet the substrate and eliminate any chance of retraction and rebound of the drop. It also has a low surface tension, which is desirable for our experiment. Only small quantities of Ethanol will be needed onboard. The liquid system will be closed to prevent Ethanol from becoming airborne, and a fluid trap will be installed in the vacuum pump to ensure that no aerosol ethanol makes its way back into the cabin. We are also considering distilled water as a possible alternative. Water is favorable as it is not hazardous, but its’ different surface tension will change the parameters of the experiment somewhat. Neither the model nor our experimental setup are liquid specific, however, and either should work. We will conduct ground-based testing to determine which liquid will work best, and are open to the suggestions of NASA specialists in deciding which will be used. II.14 Procedures II.14.1 Ground Operations Prior to shipping our experiment to the JSC, we will bench test all structural components to a minimum of 6g on each axis, and 15g dynamic stress for all moving parts. We will conduct ground based testing using our apparatus to ensure everything will function smoothly during the flight. Upon arrival in Houston, we will carefully inspect all components for damage during shipping as we reassemble our experiment. Any necessary repairs will be made. We will conduct a few tests of the equipment to make sure all is working correctly before securing it in the DC-9. Our base plate design was engineered to be bolted to the floor of the DC-9, it can also be strapped, based upon the NASA specialists’ advice. II.14.2 Pre-Flight Operations The surface of the glass impact plate will be cleaned thoroughly and insured to be dry. The fluid reservoir will be filled, and fresh desiccant bags will be secured in the vacuum chamber. The chamber will then be closed and vacuum tested to ensure it is sealed. All cables and hoses will be double checked for positive connection and free movement with the sled. The camera will be cycled on and reviewed to ensure the drop 36/62 impact zone is in focus. All other electronics will be turned on and checked to make sure they are operating normally, including a test of the drive controller to verify the belt is not caught, and that the motor can move the sled forwards and backwards. The camera will be reset, and its on-board memory will be cleared. Once satisfied that all portions of the experiment are in working order, the protective cover will be closed and latched into position, safely encasing all moving parts of the experiment. II.14.3 In-Flight Operations Once we are at altitude, all electronics will be switched on. At the start of the microgravity portion of the parabolic loop, we will begin production of a droplet on the injector needle with the digital syringe. Once the full drop size has been reached (under 3 seconds), we will signal the experimental cycle by starting the computer program. The linear drive belt will accelerate briefly to detach the drop from the injector needle. After detachment, the belt will pause briefly to allow the droplet to stabilize into a sphere. As a guide, 1cc of water (the average size of our drops) will stabilize in approximately 100 ms. After the drop stabilizes into a sphere, the belt drive will move the vacuum chamber at 3 m/s causing the formed droplet to impact upon the glass plate. During this process (under a second), the computer will cycle the camera on in time to capture the impact. After the impact it will then bounce the recorded video to the hard drive for future retrieval. The drive belt will slowly accelerate to a stop after impact. The glass impact disk will be rotated to reveal a clean dry surface, and the desiccant will absorb the excess liquid. The linear drive belt will be returned to the starting position. The pressure will then be adjusted electronically as per the flight plan, and the experiment will then be ready for another test. We plan to conduct 11 trials for each of four drop sizes, each trial at a different pressure, allowing us to determine the threshold pressure for each drop size to an accuracy of no less then 1%. After we have gathered our experimental data, we will conduct the outreach portion of our program, as is built into the flight plan. These projects will be conducted inside the “outreach box,” a small Lexan glove box with a standard video camera that will allow us to test and videotape the experiments brought onboard without risk of them escaping into the cabin. II.14.4 Post-Flight Operations After the 30 parabolic loops, the linear drive will be returned to starting position, and all electronics will be powered down. Upon landing, the vacuum chamber will be opened, and the desiccant bags disposed of. The glass impact plate will be dried and cleaned; any extraneous splashes in the chamber will be wiped up. Any remaining fluid in the reservoir will be drained. The video taken during the flight will be backed up on an external hard drive. 37/62 III Outreach Plan. III.1. Objective We have three main goals for our outreach program: 1) Inspire interest in the physical sciences through classes, demonstrations, and hands on activities. 2) Educate the general public about our project. 3) Enlighten students and teachers about the many opportunities NASA has to offer. III.2 Website http://students.fairfield.edu/physicsclub/microgravity We have designed a website that will not only inform the public about our proposal, but serve as a hub for our outreach program. Through the website, students and teacher will be able to keep track of our status through crew journals, participate in online polls regarding their own outreach agenda (as outlined below), complete science quizzes of the week to compete for prizes, and access valuable links in the sciences and at NASA. Figure III.2.1. http://students.fairfield.edu/physicsclub/microgravity 38/62 III.3 Partnerships In our efforts to reach the widest audience possible, we have teamed up with several institutions. III.3.A.The Discovery Museum 4450 Park Ave, Bridgeport, CT 06604. (203) 372-3521 The Discovery Museum is a not for profit science and technology museum with a strong focus on education. Each year, The Discovery Museum draws over 100,000 visitors and teaches almost 70,000 students of all ages on a variety of subjects, ranging from rocketry to submarine science. They have the only Challenger Learning Center in Connecticut, a program that takes students on a simulated space mission in honor of the planned educational mission of the final Challenger flight. By tapping into the programs and resources at The Discovery Museum, we will be able to reach a wide range of children at a variety of different grade and ability levels. Many of the programs at the museum are tailored for underprivileged students from inner city Bridgeport, (the town next to Fairfield), and the surrounding areas, while other inter- district programs bring urban and suburban students together under the common goal of learning science while breaking down socioeconomic barriers. In addition, the museum’s membership and school base will allow us to easily distribute our outreach plans, and develop and present our programs to a varied and interested audience through a respected institution that is a staple of the community. III.3.B Bridgeport School District 45 Lyon Terrace, Bridgeport, CT 06604 (203) 576-7146 We have also partnered up with the Bridgeport School District. While initially , we were going to simply contact each school on a case by case basis, teaming with the district itself provides access to a far greater number of students, and an ability to highlight the areas where we will do the most good. The second largest district in Connecticut, it contains 30 elementary schools, three high schools, two alternative programs, and an inter-district vocational aquaculture school; serving a total of 23,000 students. The vast majority of these students are members of minorities, and are underrepresented in the sciences. Obviously, we cannot hope to reach all of these students, but we hope to visit as many of the classes as possible; we estimate that number will be between 7 and 8 classes for multiple visits, and possibly a few multiclass assembly presentations and demonstrations. Science to many of these students is a foreign idea, something that they can never be a part of; the teachers do their best to educate their students, but have a difficult time inspiring interest when they are restricted to text books. By teaming up with the Bridgeport School District, we hope to not only 39/62 supply new ways of teaching science, but provide gripping new learning experiences that will motivate the students and teachers alike. III.3.B Fairfield High Schools Fairfield Warde High School 755 Melville Ave, Fairfield, CT 06825 (203) 255-8449 Fairfield Ludlow High School 785 Unquowa Road, Fairfield, CT 06824 (203) 255-7200 To expand our outreach program to the high school level, we have partnered with two high schools in Fairfield Connecticut, near the university campus, Fairfield Warde and Fairfield Ludlow. These schools have very strong science and physics programs, and will give us the opportunity to go more in depth into the physics of our project, as well as the processes of coming up with an experiment and methods for testing it. They are also an excellent outlet for NASA education, as they have the talent and backing to partake in many of the more competitive programs NASA has to offer. We expect to reach approximately 40 students per school for a total of 80 students. III.4 Target Audience We plan to connect to the community on four levels: 1. 2. 3. 4. Middle School Students (Grades 5-8) High School Students (Grades 9-12) College Students The general public We will address the lower elementary grades through presentations to the teachers and presentations. We feel that it would not be realistic to expand our outreach to cover even more grades and classes, and our subject material has much more relevance to the curriculum guidelines of the middle and high school levels then it does for the elementary level. The first two of these categories will be served through our work at The Discovery Museum and outreach at the Bridgeport Public Schools. One of the reasons we picked these institutions is because we will be dealing with predominantly minority students who are underrepresented in the sciences. This gives us a unique opportunity to truly change the path of some lives through our outreach. Bridgeport School District Census Total Population under 18: Hispanic or Latino: 39,672 16,216 40/62 Non Hispanic or Latino: 23,456 Population of one race: White alone: Black or African American alone: American Indian or Alaska Native alone: Asian alone: Hawaiian or other Pacific Islander alone: Some other race alone: Population of two or more races: 36,814 12,699 14,935 214 1,192 62 7,712 2,858 Percent of Minority Students: 67.99% Table III.1. Census Data for the Bridgeport School District, 2000. Taken from the National Center for Education Statistics. Census Data on Select Bridgeport High Schools School Grades Students % White % Black % Hisp. % Asian % Indian Bassick High School 9-12 947 10.9 45.8 39 4.3 0 Central High School 9-12 2,171 19.7 41.5 32.9 5.6 0.2 Harding High School 9-12 1,352 3 43.7 52 1.3 0 Homebound PK-12 58 10.3 46.6 43.1 0 0 Table III.2. Census Data for Bridgeport High Schools, 2000. Taken from the National Center for Education Statistics. We will reach college students through our activities with the Fairfield University chapter of the Society of Physics Students, and will reach the general public through exhibitions at The Discovery Museum and open lectures at Fairfield University. III.5 Connection to Curriculum In planning our activities and presentations to the middle and high school classes, we have looked to the “Core Science Curriculum Framework: An Invitation for Students and Teacher to Explore Science and Its Role In Society” guidelines issued by the Connecticut Department of Education. The following table summarizes a few of the Content standards that we will address by grade. Content Standard Grade 5 5.3 5.4 Grade 6 6.1 Summary Regular and predictable motion of solar system objects Using tools to acquire new information; telescopes, magnifiers. Basic Chemistry, introductory fluid dynamics 41/62 6.3 Grade 7 7.2 7.4 Grade 8 8.1 8.3 Grade 9 9.3 Effect of Sun’s energy upon Earth Human biological systems; challenges of habitation in space Technology of Food Production; astronaut food Inertia, forces Gravity Fuels 9.4 Atomic reactions Grade 10 10.5 Origins of life, cosmic seeding 10.6 Living environments Table III.3. Curriculum standards outlined by the Connecticut Department of Education. Each of our classes and presentations will incorporate many of these standards, while being tailored to the individual class or classes at hand. III.6 Activities We have divided our activities into two sections. III.6.A Middle School and High School We have planned six major projects with The Discovery Museum and the Bridgeport Public Schools. 1. Space Science for the Bridgeport Talented And Gifted (TAG) program, grades 58. We will be conducting outreach into these inner city schools, supplementing the curriculum with demonstrations and presentations, tailored to grade level and content standards in the sciences. These students represent the top of the spectrum in the schools, and thus we will be challenging them the most with design projects, and hard questions. We will also emphasize pursuing other NASA opportunities, both in their current educational level, and as they continue through high school and college. Although we will work with the teachers of the classes to develop exactly what material we will cover, we anticipate demonstrating or presenting the following topics and asking the following questions: • Gravity/Microgravity i. What makes gravity? ii. How does gravity affect us? iii. Does gravity “pull” more on heavier objects? iv. Do all objects fall at different speeds? • Introductory astronomy i. Heliocentric model of solar system 42/62 • • • ii. What clues are there for this model? iii. Why do planets circle the sun instead of flying off? iv. Sun’s impact on Earth Forces and inertia i. How do we see forces and inertia in every day life? ii. Will these forces exist in space? iii. What is mechanical advantage? iv. Examples and demonstrations Chemistry and fluid phenomena i. What makes something a liquid? Solid? Gas? ii. Can things change form? iii. Mixtures, solutions, and reactions. iv. Where do we see applications of these in every day life? Biology i. Differences in environment between earth and space ii. How can we live in space? iii. Challenges of long distance space flight iv. Human colonization of other spatial bodies. 2. Outreach And After School Programs at Bridgeport Public Schools, grades 5 -8. These programs will be on a smaller scale of one or two classes per group. Each segment will be geared toward a specific curriculum goal, as outlined above, and will provide us with an opportunity to provide real hands on learning experiences to this children. In addition to some of the topics listed above, we will emphasize space science, including rocketry, astronomy, environment, and the planets. With these small groups, we will try to develop their interest over a few meetings each group (approximately 2 or 3), culminating in a school wide science fair. 3. Development Of A New Gravity Learning Lab at The Discovery Museum, grades 5-8. For this section, we will bring a set of four experiments up with us on board the C-9, conduct and record them during the outreach portion of our flights, and bring our results back with us to Connecticut. Students will perform these same experiments on earth under normal gravity conditions, and will make predictions as to what will actually happen in microgravity. We will then be able to show the video of these experiments, confirming the expected results of the students. This particular section of the outreach portion has implications not only with the current grade levels of students, but also far into the future. It is a very unique opportunity to allow students to see their predictions come alive in a very real sense. The actual experiments conducted will be selected from a pool of possibilities by a poll on our website, which each student and teacher in the class will be allowed to vote on. This will personalize the experience even further, and also draws in the technological literacy component often absent in the curriculum. Possible experiments include: gyroscopes, (self contained) capillary tubes, and friction. Other experiment ideas will be gathered from teachers. Depending on 43/62 teacher and student interest, we will also investigate a competition among the schools to bring a small student designed and constructed test onboard for one of the outreach portions. 4. Collaboration with TEAMS: Totally Extreme Adventures in Math and Science, 5th grade. This is an interdistrict program that pairs 350 students from urban and suburban schools with the common interest of learning science through space applications. We would provide the gravity section of the curriculum to these students, with the goal of preparing them for their final project of constructing a simulated moon base. 5. Development of a “drop tower” apparatus that will allow students to see what happens in “microgravity” through the implementation of a box containing a camera, light, and student-built experiment that will be dropped from the roof of the Museum along a rail into a container of packing peanuts. This should allow for a few seconds of microgravity, and can be a resource used by science classes all over the area. This project is dependant upon funding provided by a grant we will apply for if accepted. III.6.B High School We will connect with inner-city Bridgeport high schools through the Discovery Museum public presentations. Through these, we hope to educate the students about the wonders of physics, and spark interest in the sciences. Our main work at the high school level, however, will be with the Fairfield high schools. Because of the much smaller class sizes and higher level of education, we will be able to focus much more on the actual physics of space science. Among the projects we will be working with the teachers to integrate into the curriculum of the schools are: 1) Model Rocketry 2) Drop Tower Tests at The Discovery Museum 3) Microgravity experiment design and construction, possibly to be flown as one of our outreach trials 4) A Space-Science technology fair to present small team-based research projects to the entire school. III.6.C University and Public Through the Fairfield University chapter of the Society of Physics Students, we will be conducting a series of three presentations open to the general public as well as the student body. Our topics will include 1) Microgravity, and the benefits of studying phenomena in microgravity; aimed at a non science major level 2) Our project and NASA opportunities for students and faculty; aimed at science majors 3) The results of our project (upon our return); aimed at both groups. We also hope to present our results at other SPS schools in the local area, and at conferences upon the completion of our project. 44/62 III.7 NASA Education Historically, very few teachers or students from the Bridgeport area have participated in any NASA programs. When speaking to the teachers, however, the reason for this becomes apparent- they simply do not know about them. Therefore, we plan to give a presentation for teachers and administrators on the different NASA opportunities available for students, educational enrichment, and the educators themselves. Figure III.1. Example Slides from presentation to teachers and administrators. We will also construct a portfolio of the different NASA programs available tailored to grade level which we will distribute one to the science teachers in the district and beyond through The Discovery Museum. For example, the middle school packet will include: 45/62 • • • • A list of learning resources, including information on the NASA Educator Resource Center Network, and Educational Publications & Products, with ideas of how to integrate it into the curriculum. A number of links to the internet and multimedia resources available through NASA, and methods for integrating them into the classroom. Listing and descriptions of the NASA Education programs for students, including the DIME program, SEMAA, MATHCOUNTS, the Great Moonbuggy Race, and job opportunities, along with suggestions and recommendations from Fairfield University faculty, and the Fairfield flight team’s own experiences on how to win these opportunities. Professional Development opportunities for teachers and administrators. This is vital, as better teachers result in more inspired students. This information will all be available through the Education portal of our website as well, with links and further ideas. Depending on teacher response and grade level, we may also construct a flyer that will go in a mailing to the parents that outlines the opportunities for the students. One of the best ways we can encourage the minds of the next generation is to show them how many opportunities are available, and allow them to feel the beauty of science for themselves. While The Discovery Museum already uses a fair amount of NASA multimedia and materials, we will work with them to integrate more NASA resources into the curriculum of their classes, and in their programs for the general public, as well as displays and inclusion of NASA programs in their mailings. A modified presentation will be given to the students, teachers, administrators, and parents of the Fairfield high schools, with particular emphasis placed upon opportunities for that grade level. III.8 Press Plan If our proposal is accepted, we have a press plan that encompasses several media and should reach a wide audience. • • A press release will be immediately written and submitted to papers in the local region of Fairfield University, as well as those in the team members’ home towns, detailing our proposal, our outreach, and NASA’s Reduced Gravity program. Upon completion of the project, we will submit an additional release regarding the outcome of the experiment, our experiences with the project, and a reiteration of the NASA program. Similar press releases will be submitted to local T.V. and Radio stations, with the hopes of interviews of the team members. 46/62 • A scholarly paper will be written upon completion of the project, and sent to various journals and newsletters, including The Observer, the Society of Physics Students Newsletter, the AIP, and Physics Letters. III.9 Milestone Timeline • • • • • • • • • • • • • December 14th- Receive notification of proposal status. Mid December (before winter break) – meet with Discovery Museum Staff and Director of Science of Bridgeport Public Schools (as well as any available teachers) to outline course of action; prepare and submit grant proposal for funding of extra projects through Discovery Museum; submit press releases Winter Break- Prepare experiments and presentations Mid January- Begin TAG program meetings and Bridgeport Outreach meetings on an alternating biweekly schedule. Meet with Fairfield high schools to plan activities. Present NASA opportunities presentation at high schools. Late January- Presentation at Discovery Museum on NASA opportunities, for educators and administrators Early February- Open meeting at Fairfield University for first presentation and discussion. Meeting with Fairfield high schools to talk about our experiment, and outline first project. Mid February- Demonstrations at select Bridgeport schools. 2nd project with Fairfield high schools. Late February- Gravity portion of TEAMS curriculum; conduct poll for outreach experiments; 2nd presentation at Fairfield University March –flight Early April- Conduct learning lab, complete with video footage of experiments conducted in microgravity; development of drop tower. Testing with Fairfield high schools. Mid April –School Wide Science Fairs; submit scholarly paper of results Late April- 3rd and final presentation at Fairfield University; conferences and other SPS school presentations. Rocketry project with Fairfield high schools. May-culmination of TEAMS program; final presentations at Bridgeport Schools 47/62 IV. Administrative Requirements: IV.1 Institutional Letter of Endorsement. Please refer to Appendix B. IV.2 Statement of Supervising Faculty Please refer to Appendix C. IV. 3 Funding/Budget Statement Our funding will be provided by Fairfield University. A sizable portion of the equipment and materials used in our experiment is already at Fairfield, and will be available for our use at no cost. In addition, we have been in touch with a few local businesses that have expressed interest in sponsoring part of our experiment, and will thus reduce the cost to Fairfield. Personal contributions from the team members will also be used to offset the cost. Costs for Experiment Laptop Computer and peripherals High Speed Camera rental Vacuum Chamber and Pump Aluminum and other materials Linear Drive Digital Syringe and needles Assorted hardware Subtotal: $2500 $6000 $400 $300 $2000 $400 $500 $12100.00 Travel Expenses Transportation (Airline Tickets) Accommodations Food and Expenses ($30 per person, per day) Car Rental & gas Subtotal: $1500 $900 $1200 $700 $4300.00 Total Cost: $16400.00 48/62 We have broken down the expenses into two categories: experiment costs, and travel expenses. The travel expenses are calculated for four people’s airfare and lodging for ten days in Houston. IV.4. Experiments Involving Animals Our experiment does not involve any animals. This section is non applicable. IV.5 Parental Consent Forms All members of our team are over eighteen years of age; thus, parental consent forms are not needed. 49/62 V. Appendices V.1 Appendix A It is not absolutely essential that we perform this experiment using ethanol. It is widely used among those researching drop behavior for numerous reasons. However, we could perform the same experiment with water if the use of ethanol poses a safety issue. Water has a higher surface tension than ethanol, so water drops would have to be larger as compared to ethanol drops. This can be seen in the figure below: Alternate Flight Plan (water) Day 1 Arc # Day 2 Diameter(mm) Pressure(kPa) Arc # Diameter(mm) Pressure(kPa) 1 Practice Trial Practice Trial 31 Practice Trial Practice Trial 2 Practice Trial Practice Trial 32 Practice Trial Practice Trial 3 20 71.6 33 40 50.6 4 20 70.3 34 40 49.7 5 20 69.0 35 40 48.8 6 20 67.7 36 40 47.9 7 20 66.4 37 40 46.9 8 20 65.1 38 40 46.0 9 20 63.8 39 40 45.1 10 20 62.5 40 40 44.2 11 20 61.2 41 40 43.3 12 20 59.9 42 40 42.3 13 20 58.6 43 40 41.4 14 Practice Trial Practice Trial 44 Practice Trial Practice Trial 15 30 58.5 45 60 41.3 16 30 57.4 46 60 40.6 17 30 56.3 47 60 39.8 18 30 55.3 48 60 39.1 19 30 54.2 49 60 38.3 20 30 53.1 50 60 37.6 21 30 52.1 51 60 36.8 22 30 51.0 52 60 36.1 23 30 50.0 53 60 35.3 24 30 48.9 54 60 34.6 25 30 47.8 55 60 33.8 26 Outreach Outreach 56 Outreach Outreach 27 Outreach Outreach 57 Outreach Outreach 28 Outreach Outreach 58 Outreach Outreach 29 Outreach Outreach 59 Outreach Outreach 30 Outreach Outreach 60 Outreach Outreach Expected threshold pressures in bold It is more convenient to use ethanol in this experiment than water. However, it is not essential. Water may be substituted if ethanol is a problem. 51/62 V.2 Appendix B Institutional Letter of Endorsement V.3 Appendix C Statement of Supervising Faculty V.4 Appendix D Material Safety data sheets V.5 Appendix E Outreach consent and endorsement letters 62/62