Writing a M.Sc. Dissertation - MS Ramaiah School of Advanced
Transcription
Writing a M.Sc. Dissertation - MS Ramaiah School of Advanced
Writing a M.Sc. Dissertation Compiled and Developed by: Dr. S.R. Shankapal, Director, MSRSAS,Bangalore What is a dissertation? • Dissertation is a document that presents the author's research and findings. • Is submitted in support of candidature for a degree or professional qualification. Why one should do a project and write a dissertation? • The dissertation provides students – An opportunity to apply theoretical knowledge and analytical skills gained during the course to solve a real life problem. – It provides an opportunity to consolidate the work carried out and make a report which defines the problem, method of approach used, present results and discuss the results to bring out meaningful conclusions – It is the document through which a student can exhibit his/her ability on identifying a problem and provide scientific and technical solution, to those who will be interviewing him for a job or higher studies. What is the normal length of a M.Sc. Dissertation? • A candidate should write a dissertation of not more than 20 000 words (excluding content sheet, references) including appendices. • A4 sheet –one side = 275~300 words. • Number of pages: 65~75. Is it necessary to have original contribution in M.Sc. dissertation ? • The M.Sc. candidate must present an acceptable thesis that demonstrates that the candidate has technical competence and has done independent research. Mandatory Submissions • • Number of dissertation Copies: (4 ) as per the standards specified by PEPs office • Student Copy-1, Academic Project Guide-1, Industry Project Guide-1, Library Copy-1 • If you have any extra guide other than mentioned above, you need to provide a copy for him/her also • Electronic version of your dissertation 5 page length IEEE/ Elsevier standard research paper • • (Electronics Stream –IEEE, Mechanical Stream-Elsevier) A3 size poster in colour depicting highlights of your project for display Details M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Title XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXX M.Sc (Engg) Dissertation in XXXXXXXXXXXXXXXXXX (Specialisation) TITLE: Should reflect the aim of the study. Submitted by: XXXXXXXXXXXX Academic Supervisor: XXXXXXXXXXXX XXXXXXXXXXX, (Designation) Industry Supervisor: XXXXXXXXXXXX XXXXXXXXXX (Designation) M.S. RAMAIAH SCHOOL OF ADVANCED STUDIES Postgraduate Engineering Programme Coventry University (UK) Gnanagangothri Campus, New BEL Road, MSR Nagar, Bangalore-560 054 Tel/Fax: 2360 5539 / 1983 / 4759 e-mail: [email protected] website: http://www.msrsas.org March-2006 Application of Lean Manufacturing Principles in an Injection Moulding Industry M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) M.S.RAMAIAH SCHOOL OF ADVANCED STUDIES Postgraduate Engineering Degree Programme Coventry University (UK) Bangalore Certificate This is to certify that the M.Sc (Engg) Project Dissertation titled “XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXX” is a bonafide record of the Project work carried out by Mr XXXXXX in partial fulfilment of requirements for the award of M.Sc (Engg) Degree of Coventry University in XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX . March-2006 XXXXXXXXX Academic Supervisor XXXXXXXXXXX Industrial Supervisor MSRSAS - Bangalore XXXXXXXXXXXXXX XXXXXXXXXXX Programme Manager – (Centre) XXXXXXX Dean-PEPs MSRSAS – Bangalore MSRSAS – Bangalore Dr. S.R Shankapal Director MSRSAS – Bangalore Application of Lean Manufacturing Principles in an Injection Moulding Industry ii M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Declaration ‘Project Title: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX’ The Project Dissertation is submitted in partial fulfilment of academic requirements for M.Sc (Engg) Degree of Coventry University in XXXXXXXXXXXXXXX. This dissertation is a result of my own investigation. All sections of the text and results, which has been obtained from other sources, are fully referenced. I understand that cheating and plagiarism constitute a breach of University regulations and will be dealt with accordingly. Signature: Name of the Student: XXXXXXXXXXXX Date: XXXXXXXXXXXXXXXXXX Application of Lean Manufacturing Principles in an Injection Moulding Industry iii M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Acknowledgement 1. Acknowledge your academic and industry supervisor 2. Acknowledge your programme manager 3. Acknowledge all those who have helped you directly or indirectly for the successesful completion of your project work 4. Remember it is an opportunity to express your gratitude Length: Not to exceed one page Application of Lean Manufacturing Principles in an Injection Moulding Industry iv M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Abstract Complete the Abstract in 3 paragraphs each paragraph not exceeding 80 words (1 page) Paragraph-1: You need to bring in 1. The work you have chosen to do 2. The reason for selecting this work and its scope. Pargrapgh-2: Methodology and Methods used for solving the chosen problem Paragraph-3: Main results and conclusions drawn Sample abstract Application of Lean Manufacturing Principles in an Injection Moulding Industry v M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Table of Contents ______________________________________________________ A typical Table of Contents page looks like this Certificate……………………………………………………………(ii) Declaration……………………………………………………….....(iii) Acknowledgement…………………………………………………..(iv) Abstract …………………………………………………..…………(v) Table of Contents………………………………………….………. (vi) List of Tables……………………………………………….……….(x) List of Figures………………………………………………………(xi) Nomenclature……………………………………………………….(xii) Chapter-1: Introduction……………………………………………..1 1.1 …………………………………………………..1 1.2 Chapter-2: Literature Review Chapter-3: Problem Definition Chapter-4: Model Construction and Solution Chapter-5: Discussion of Results and Validation Chapter-6: Conclusions and Recommendations for future work Bibliography Appendices Appendix-A Appendix-B Appendix-C…………………………………………………….….80 Application of Lean Manufacturing Principles in an Injection Moulding Industry vi M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) List of Tables A typical List of Tables content page looks like this How to represent a table: Table number, Table title, Units of the parameters are important Table 2. Enthalpy of formation of some common Elements and Compounds Application of Lean Manufacturing Principles in an Injection Moulding Industry vii M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) List of Figures ________________________________________________________________________ typical table of List of Figures How to represent a Figure Application of Lean Manufacturing Principles in an Injection Moulding Industry viii M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Nomenclature ____________________________________________________________________ a = Acceleration (m/s2) F =Force (N) T = Temperature (K) t =Temperature (oC) N =Speed (RPM) CG =Centre of Gravity DOF =Degrees of freedom W =Track width (m) Application of Lean Manufacturing Principles in an Injection Moulding Industry ix M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 1 – Introduction Length of Introduction: 2-3 pages What introduction should contain: Introduction presents the specific problem under study. Introduction can have 1. General Introduction to the area of your work 2. Actual Area of your work 3. Specific Area of your work 4. Specific topic of your work You can use figures, tables and references while giving introduction Assume that you are interested in developing optimised blade profile for a wind mill, your introduction can have 1. General introduction-energy, importance, sources, merits and limitations 2. Smooth transition should take over to Wind Energy and its relevance 3. Then move over to Horizontal wind mills if you are working on horizontal windmill blades and the introduce the blades 4. Bring the reason and importance of blade shapes and why they need to be optimised 5. State that it is essential and important to work in this area as it going to benefit the society, connect it to the next chapter that is Literature Review. . Application of Lean Manufacturing Principles in an Injection Moulding Industry M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) The following diagram represents the approach 1 2 3 4 Sample-1 Application of Lean Manufacturing Principles in an Injection Moulding Industry 11 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 2 – Literature Review ________________________________________________________________________ Length- 10-12 Pages Minimum of 10 references A literature review may constitute an essential chapter of a thesis or dissertation, or may be a self-contained review of writings on a subject. In either case, its purpose is to: • Place each work in the context of its contribution to the understanding of the subject under review • Describe the relationship of each work to the others under consideration • Identify new ways to interpret, and shed light on any gaps in, previous research • Resolve conflicts amongst seemingly contradictory previous studies • Identify areas of prior scholarship to prevent duplication of effort • Point the way forward for further research • Place one's original work (in the case of theses or dissertations) in the context of existing literature Sample-Lit Review Project Design students can bring in the work done by various designers and present and future trends in the area (make use of photographs clearly indicating the references) Application of Lean Manufacturing Principles in an Injection Moulding Industry 12 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 3 – Problem Definition _______________________________________________________________________ Length: 1-2 pages 3-4 lines of introduction to the chapter Problem definition Paragraph-1 Problem Statement Pargraph-2 1. Objectives Paragraph-3 Methodology adopted to meet the objectives OBJECTIVES: Objectives are statements of mentions. They inform the reader clearly what the researcher plans to do in his/her work. They must identify the variables involved in research. Objective should start with an action verb and be sufficiently specific, measurable, achievable, relevant and time bound (SMART). Sample-Prob. Statement Application of Lean Manufacturing Principles in an Injection Moulding Industry 13 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 4 – Model Construction and Solution 3-4 lines of introduction to the chapter Mechanical 1. Specifications of the model you are trying to design and analyse 2. Basic design calculations- Formulae, Flow charts, programme (Flow charts and Programme can be pushed to Appendix) 3. Geometric model 4. Mathematical model, Theoretical basis 5. Discretisation of the Geometric Model, Grid independence 6. Boundary conditions 7. Solver settings and importance 8. Solutions 9. Modifications to the problem if any 10. Repeating the procedure if required 11. Manufacturing if any 12. Test procedures and test results if any Do not add screen shots of every step you work on in your report. Only main software features that help you to create the models are required to be mentioned. If it is totally experimental work: 1. Building up of experimental set-up 2. Instrumentation involved and their accuracy 3. Calibration of instruments and test set-up 4. Measurement procedures 5. Repeatability Application of Lean Manufacturing Principles in an Injection Moulding Industry 14 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 6. Tabulation of data and calculations 7. Error Analysis Electronics 1. Specifications of the model you are trying to design and analyse 2. Basic Design calculations if any 3. Theoretical basis & Mathematical model, (Derivation if any push it to Appendix) 4. Algorithm –developed 5. Coding of Algorithm if any (Appendix) or software used for solution of the problem 6. Solution of Algorithm 7. Modifications to the problem if any 8. Repeating the procedure if required 9. Hardware implementation if any 10. Test procedures and test results if any If it is totally experimental work: 1. Building up of experimental set-up 2. Instrumentation involved and their accuracy 3. Measurement procedures 4. Tabulation of data and calculations Application of Lean Manufacturing Principles in an Injection Moulding Industry 15 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Product Design Design specifications, Design Concepts, sketches, Geometric Models, Mechanisms if any Application of Lean Manufacturing Principles in an Injection Moulding Industry 16 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 5 – Validation and Discussion of Results ________________________________________________________________________ RESULTS must be presented in the form of • Text, • Tables • Illustrations-graphs, figures, circuit diagrams, animations The contents of the tables should not be repeated in the text. Instead, a reference to the table number must be given. Validation: Check whether Theoretical solutions to your problem is available with you or in any references Experimental results are available with you or with in some reference material Verify /Validate your results with the available results. If you are not verifying or validating your results, your results will be questioned; you should be in a position to defend your results- in such cases bench marking is necessary. To bench mark-choose a standard problem in the area for which theoretical or experimental solutions are available, solve the problem using the method you have chosen for your project and compare your results Electronics students can check their algorithm by implementing on the hardware Product design students can covert their ideas into physical modelling and results be compared and do an analysis by preparing a questionnaire You need to provide explanations for the trends in your graphs and tables. The explanation should be based on theoretical background Application of Lean Manufacturing Principles in an Injection Moulding Industry 17 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) 6 – Conclusions and Recommendations for future work This is the last section of the text in which conclusions or inferences drawn on the basis of the results of study are described. The conclusions should be linked with the objectives of the study. If possible to express your concluding remarks based on certain numbers, please do so. If you have developed correlations, give such correlations. Recommendations for further research may be included when appropriate e.g. if you find a statistically significant number of cases of anaemia of severe degree in the school going girls of a particular area you can recommend further research to probe the cause of anaemia in that area. It is important to be careful that the conclusions should not go beyond data and should be based on the study results and population. Sample: Application of Lean Manufacturing Principles in an Injection Moulding Industry 18 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Bibliography Harvard Method Application of Lean Manufacturing Principles in an Injection Moulding Industry 19 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Appendix-A Any material, which is important but affects the flow of your writing can be brought under appendix Application of Lean Manufacturing Principles in an Injection Moulding Industry 20 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Appendix-B Application of Lean Manufacturing Principles in an Injection Moulding Industry 21 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Appendix-C Application of Lean Manufacturing Principles in an Injection Moulding Industry 22 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) General Guidelines 1. A good dissertation can be written only if you have good piece of work 2. A good piece of work will be ignored if not presented properly 3. Remember –you are writing it because you want others to read 4. If you do not use sufficient care in writing, one will doubt whether you have taken good care in your work either 5. Use clear and short sentences and write in third person. Avoid using bombastic words 6. All the assumptions and input data should be documented 7. It should be possible to reproduce your computations/experiments by others using your dissertation. 8. Use British English-spelling 9. Units and consistency in the use of units is important 10. Use A4, white sheet for printing your dissertation. Use font size of 12, Times Roman, headings can be of same font size but bold. 11. Margins should be as shown in the figure Application of Lean Manufacturing Principles in an Injection Moulding Industry 23 M.S Ramaiah School of Advanced Studies –Postgraduate Engineering Programmes (PEPs) Application of Lean Manufacturing Principles in an Injection Moulding Industry 24 ABSTRACT Stability Analysis of Partially Filled Tanker Trucks Using a Finite Element Modeling Approach By Matthew Aquaro The point of rollover for a tanker truck carrying fluid cargo is of great importance due to the catastrophic nature of accidents involving such vehicles. Payloads are often toxic or flammable, thus, predicting the threshold of rollover effectively is of great value. Furthermore, the liquid load shift caused by fluid slosh amplifies the propensity of these vehicles to rollover. This research presents an approach for determining the threshold of rollover stability of a specific tanker truck by using finite element analysis methods, specifically the software program ANSYS. This approach allows the consideration of many variables which had not been fully considered in the past, including nonlinear spring behavior and tank flexibility. The program uses simple mechanical pendulums to simulate the fluid sloshing affects, beam elements to match the torsional and bending stiffness of the tank, and spring damper elements to represent the suspension. The finite element model of the tanker truck is validated using data taken by the U.S. Army Aberdeen Test Center (ATC) on a M916A1 tractor/ Etnyre model 60PRS 6000 gallon trailer combination. ATC tested the actual tanker truck both statically and dynamically to provide data as inputs for the tanker truck model. The outputs from the computer model and the real truck are shown to corroborate, thus validating the method of analysis. The approach is then expanded to include a double lane change maneuver derived from a cycloidal path. The main conclusions are drawn in two forms. First, the model is shown to corroborate with the experimental data taken from the actual tanker truck. Secondly, a series of both actual and hypothetical simulations are made to determine the critical velocity for the given maneuver. These are presented for a constant radius turn and for double lane change maneuvers. vi Sample I Literature Review- Sample The study of heavy vehicle dynamics began in the mid 1970’s. At first, the dynamics of straight trucks received a great deal of attention, but the study quickly expanded to include the realm of articulated vehicles. While the study of heavy vehicle dynamics was both new and vital to the transportation world, it failed to encompass vehicles carrying fluid cargo. In 1983, Robert D. Ervin [1] studied the influence of size and weight variables on the threshold of rollover stability using plane models. Ervin focused on axle loading, gross vehicle weight, track width, payload center of gravity (CG) height, and lateral offset of the payload CG. His research concluded that the CG height of the vehicle and it’s track width were the two most important factors on the rollover of articulated vehicles. Ervin also studied the affects of suspension variables and noted that softer suspensions will roll more easily than firmer suspensions. He also found that spring lash (Figure 1) has an affect on the roll sensitivity of heavy vehicles. One item of interest in Ervin’s work is that he lumped the reactions of wheel sets together. Ervin also notes that Figure 1. Spring lash. 5 the free play in the fifth wheel coupling is negligible. Ervin’s focus left tanker truck vehicles lumped together with all other types of road vehicles, and even eluded that tanker trucks could be more stable than rigid cargo trucks, provided the cg was closer to the ground. In 1988, Leslie A. Laird [2] did a study on the measurement of roll stability properties on heavy vehicles and created a method for evaluating overall stability performance. Laird characterized what variables were critical to heavy vehicle suspensions and then used the plane model that Ervin had developed to evaluate stability. Laird came up with four parameters that are most critical to the suspension: roll stiffness, roll-center height, lateral compliance, and suspension height. He measured these properties using a tilt test and added lateral compliance to the models used by Ervin. Again, the subject of tanker trucks and fluid slosh was not considered. It wasn’t until 1989 that an effort was made to address and understand the behavior of a tanker truck with an active vehicle/payload interaction. Ranganathan [3] studied the affects of fluid slosh on the static roll stability of tanker trucks by coupling a kineto-static roll plane model of an articulated vehicle with a fluid slosh model. The results of this work described fluid slosh affects on the overall static rollover threshold of an articulated vehicle. The conclusions of this paper were that the effects of fluid slosh could not be overlooked due to their significance in reducing the rollover limit of the vehicle. Ranganathan also mentioned that spring lash could affect rollover by as much as 25%. The fluid free surface in this study was assumed to be a straight line and the mass of the fluid was assumed to be concentrated at the fluid cross sectional CG. 6 In 1990, Ranganathan [4] continued this work with a study on the directional stability of a tank vehicle. A tank vehicle is subject to destabilizing forces that cause the vehicle to deviate from its intended path. He concluded that the directional response characteristics of a tank vehicle are affected by the liquid load shift of the fluid. Following this work, Rakheja performed a study into the development of an early warning safety monitoring system for articulated freight vehicles [5]. While the study focused on rigid cargo vehicles, it proves useful in validating the work of this paper for the tanker truck in either the completely empty or mostly full condition. Rakheja used a plethora of different truck combinations, varying center of gravity, vehicle width, and suspension spring rates. For the case of validating this work, only one case is considered. The specifications are given in table 1. The lateral acceleration limit in a steady turn for a CG height of 1.52 meters was found to be 4.9 m/sec2. For the cases of 1.78 meters and 2.03 meters GC heights, the lateral acceleration limits determined are 4.0 m/sec2 and 3.4 m/sec2 respectively. Since the specific path parameters for the lane change maneuver were not given in the literature, this test cannot be validated. Width 2.44 meters Center of Gravity Height 1.52, 1.78, and 2.03 meters Tractor front suspension 53 kN Tractor rear suspension 84 kN Trailer suspension 93 kN Table 1. Rakheja’s rollover test parameters. A field test of a two axle truck with a tank body was later done by Rakheja [6]. This test compared the results of a three dimensional tanker truck model incorporating a quasi-dynamic roll plane fluid slosh model to the results obtained through field testing. The model data and the experimental data correlated well. The analytical model was able to predict the load transfers, roll rates, and lateral accelerations accurately. The testing 7 was done for a lane change maneuver with a gate width of 3.3 meters, gate lengths of 15m, 18m, and 21m and velocities of 35km/hr, 39km/hr, and 45 km/hr. The testing was also done for a constant radius turn of 30 meters for speeds of 29 km/hr, 35 km/hr, and 90 km/hr. Unfortunately, the details of the truck tested are not available to validate the model proposed in this work. In 1993, Rakheja again studied the rollover threshold of tanker trucks [7]. For this study, a combination of the work done in the kineto-static rollover analysis and Ervin’s models [1] were used. Rakheja balanced the total overturning moment and the restoring moments, paralleling Ervin’s earlier work, but he also added the offset payload moment due to fluid slosh. In this work, Rakheja placed the entire fluid mass at the end of the pendulum and positioned it as a function of the CG of the fluid. The results from this method were compared to the kineto-static rollover model [3]. The simplified approach performed reasonably well for the cylindrical tank, but it failed to give strong correlation for low fill levels in the elliptical and modified oval shaped tanks. In that same year, Ranganathan [8] made an important development in the area of fluid slosh when he computed an equivalent mechanical system to the complex fluid slosh in a circular tank. This mechanical system (Figure 2) consisted of a simple pendulum with a mass attached to the end and an additional fixed mass. This is the first study found that acknowledged that only a portion of the fluid inside the container sloshes, while another portion is fixed to the frame of the vehicle. Ranganathan validated his mechanical model by identifying the natural sloshing frequencies of the fluid and matching the natural frequency of the mechanical model to this data. Figure 3 shows the pendulum parameters for various fill levels of a cylindrical shaped tank. The level of fill 8 was calculated by measuring the fluid free surface height and taking a percentage of the tank height. In short, a 75% full tank is when the free surface is at 75% of the height of the tank. The other parameters are pendulum length, fixed mass height, fluid mass, and fixed mass. Figure 2. Floating and fixed mass mechanical pendulum model developed by Ranganathan [8]. Figure 3. Pendulum parameters for cylindrical cross section [8]. 9 The pendulum model showed oscillating wheel reactions, caused by the sway of the pendulum. The wheel reactions were used as an indicator of rollover. This represented a major breakthrough in this field. Ranganathan [9] continued his work in 1994, but this time focused on the stability of the vehicle during braking maneuvers with longitudinal sloshing. He again used a mechanical model, but instead of a pendulum, he incorporated a spring mass system to model longitudinal sloshing. In 1996, Sayers and Riley [10] from University of Michigan Transportation Research Institute published a paper discussing the modeling assumptions that went into simulations of the yaw and roll behavior of heavy trucks. Although the subject of dynamic payloads wasn’t addressed, the paper gives a good description of the key parameters that are modeled by the current software. UMTRI used this methodology to develop a software package called TruckSim. This software solves the kinematic and dynamic equations of motion for both straight and articulated trucks. The models incorporate such truck parameters as suspension lateral and vertical spring forces, dampers, fifth wheel, tires, steering systems, and rigid body inertias and forces. The work previously done leaves opportunities for further work. According to the literature study, there still exists a need for a program like TruckSim that takes fluid sloshing into account. 10 Sample-Problem Statement Chapter-3 It is evident from the literature review dealt in chapter-2 that there is a need for the development of a scale to measure the degree of stenosis in patients to decide the type of diagnosis to be used. In order to develop a scale, which can indicate the degree of stenosis, it was essential to mathematically model the blood flow in athersclerosis cases and simulate the blood flow. Problem Statement: Mathematical Modelling of Blood Flow and Simulation in Athersclerosis cases to establish the degree of stenosis Objectives and Methods The specific objectives of the research were: • Numerical modelling of blood flow in human vascular segments, specially the carotid bifurcation. o A healthy man of 45 years was chosen and the geometrical data for the carotid arterial branch were collected for modelling and simulation o Flow data for the person were collected in the supine position using the ultrasound Doppler anemometer. o The boundary conditions were modelled. • Validation of the results: Validation was done in two stages. One is to make sure that the results were grid independent. The results were compared with other experimental data that were available in the literature [2] for a similar geometry. • Blood flow was modelled in three different patients of same age group with varying degrees of stenosis and flow patterns including flow separation lines and the recirculation regions were predicted • A scale which predicts the severity of stenosis based on flow patterns was developed The Methodology adopted was • Anatomic data of vascular segment of a healthy subject were acquired through MR and the ultrasound probe. • Blood velocity data were acquired from the ultrasound Doppler anemometer. • Geometrical model of the vascular segment was built using software packages MIMICS and PRO/E. • Blood rheological data were found in the MSRMH Laboratory. • CFD Modelling was done using Hypermesh and Gambit. • The 3D Navier-Stokes equations for the fluid with different boundary, flow and wall conditions were solved using Fluent / FIDAP. • Results were Post-processed and required graphs were plotted. • Numerical results were validated against the experimental results that were available in literature [2]. 1 • • The procedure is repeated for all subjects. A scale was formulated to predict the severity of the disease based on patient’s artery blood flow analysis. The scale can also be used for planning surgery. 2