Convective Heat Transfer of Phase Change Slurries
Transcription
Convective Heat Transfer of Phase Change Slurries
Convective Heat Transfer of Phase Change Slurries Tobias Kappels – Fraunhofer UMSICHT IRES Berlin 12. November 2012 Slide 1 © Fraunhofer UMSICHT © Fraunhofer UMSICHT AGENDA Introduction Phase Change Slurry Natural Convection Measurements Forced Convection Measurements Comparison of results Slide 2 © Fraunhofer UMSICHT Introduction Raising amounts of fluctuating energy High grid balancing demand High energy demands for cooling and domestic heating Electric energy storages are expensive and with low efficiency Need for small, local, cost-efficient heat storages for load management Scenarios of power plants development Slide 3 © Fraunhofer UMSICHT Comparison of storage media – heat capacity 300 250 [kJ/kg] 200 20 K 150 6K 100 50 0 Water Slide 4 © Fraunhofer UMSICHT Paraffin Comparison of storage media – heat capacity 300 250 [kJ/kg] 200 20 K 150 6K 100 50 0 Water Slide 5 © Fraunhofer UMSICHT PCS (30%) PCS (50%) Paraffin Comparison of storage media – heat exchange Conduction Convection 1.4 500 natural convection (max) 10000 natural convection (min) 450 1.2 400 0.6 0.4 8000 300 6000 250 200 4000 150 100 0.2 0 2000 50 0 0 n.c. f.c. Water (literature) Slide 6 © Fraunhofer UMSICHT [W/(m²*K)] 0.8 forced convection (min) 350 [W/(m²*K)] [W/(m*K)] 1 forced convection (max) CryoSolplus as Phase-Change-Slurry High energy density (50 to 120 kJ/kgK) High power in- and output due to high thermal conductivity Ecologically harmless Pumpable (viscosity between 20 to 30 mPas) Various fields of application Slide 7 © Fraunhofer UMSICHT Formation of the dispersion Water Emulsifier Water Oil droplets Melting Homogenizer Paraffin T = 50 – 80 °C Emulsifiers Paraffin/Water-Dispersion Slide 8 © Fraunhofer UMSICHT Method – Natural convection Water T heat exchanger temperature TC_1 TC_4 TC_2 PCS TC_6 TC_3 TC_7 Temperature measuring point Slide 9 © Fraunhofer UMSICHT starting vessel temperature t Analysis – Natural convection 𝑇0 = 𝑇𝑙𝑚,𝑤 Water 𝑄 = 𝑚𝑤 ∙ 𝑐𝑝,𝑤 ∙ ∆𝑇𝑤 = 𝑘 ∙ 𝐴 ∙ 𝑇0 − 𝑇∞ 𝑘= 𝑚𝑤 ∙ 𝑐𝑝,𝑤 ∙ ∆𝑇𝑤 𝐴 ∙ 𝑇0 − 𝑇∞ TC_1 TC_4 TC_2 𝑇∞ = 𝑇𝑙𝑚,𝑃𝐶𝑆 PCS TC_6 TC_3 TC_7 Temperature measuring point Slide 10 © Fraunhofer UMSICHT Results – Natural convection Overall heat exchange coefficient - k [Wm-2K-1] 200 k (water) k (PCS, 25..35 °C) 175 k (PCS, 0..18 °C) 150 k (PCS, 18..25°C) 125 100 75 50 25 0 0 Slide 11 © Fraunhofer UMSICHT 50 100 150 200 250 Heat flux per heat transfer area q [W m-2] 300 350 Method – Forced convection Source: Christoph Taetz, Ruhr-Universität Bochum Slide 12 © Fraunhofer UMSICHT Analysis – Forced convection 𝑄 = 𝑚𝑤 ∙ 𝑐𝑝,𝑤 ∙ ∆𝑇𝑤 = 𝑘 ∙ 𝐴𝑙𝑚 ∙ ∆𝑇𝑙𝑚 𝑙𝑛 𝑑𝑜 1 1 1 𝑑𝑖 = + + 𝑘 ∙ 𝐴𝑙𝑚 𝛼𝑃𝐶𝑆 ∙ 𝐴𝑖 2 ∙ 𝜋 ∙ 𝜆𝑐 ∙ 𝑠 𝛼𝑤 ∙ 𝐴𝑜 𝛼𝑤 ∙ 𝐷ℎ 𝑁𝑢 = = 0.023 ∙ 𝑅𝑒 0.8 ∙ 𝑃𝑟 0.3 𝜆𝑤 Slide 13 © Fraunhofer UMSICHT Dittus-Boelter equation Heat transfer coefficient - αPCS [W m-2 K-1] Results – Forced convection 6000 5000 4000 3000 2000 Chilled Water 100 L/h 1000 Chilled Water 200 L/h Chilled Water 300 L/h 0 0 20 40 60 80 Heat flux per heat transfer area - q [kW m-2] Slide 14 © Fraunhofer UMSICHT 100 120 Heat transfer coefficient - αPCS [W m-2 K-1] Results – Forced convection 6000 5000 4000 3000 2000 Chilled Water 100 L/h 1000 Chilled Water 200 L/h Chilled Water 300 L/h 0 0 20 40 60 80 Heat flux per heat transfer area - q [kW m-2] Slide 15 © Fraunhofer UMSICHT 100 120 Comparison with literature data Conduction Convection 1.4 500 natural convection (max) natural convection (min) 450 1.2 forced convection (max) 400 0.6 0.4 8000 300 6000 250 200 4000 150 100 2000 0.2 50 0 0 0 n.c. f.c. n.c. f.c. Water Water (literature) (measured) Slide 16 © Fraunhofer UMSICHT n.c. f.c. PCS [W/(m²*K)] 0.8 forced convection (min) 350 [W/(m²*K)] [W/(m*K)] 1 10000 Conclusion Heat capacity of PCS between water and PCM Heat exchange of PCS similar to water at same heat flux Further investigations at the phase transition temperature will follow Investigations on rheological behavior will be conducted Slide 17 © Fraunhofer UMSICHT FRAUNHOFER UMSICHT Thank you for your interest! Contact: Fraunhofer UMSICHT Osterfelder Strasse 3 46047 Oberhausen Germany E-Mail: [email protected] Internet: http://www.umsicht.fraunhofer.de Slide 18 © Fraunhofer UMSICHT Tobias Kappels Phone: +49 (0) 208/8598-1347 E-Mail: [email protected] CryoSolplus as Phase Change Slurry 150 Depends on paraffin fraction 2.5 – 3.5 as high as heat capacity of water at ΔT of 10 K 125 Heat Capacity [kJ/kg] Latent heat of paraffin raises the heat capacity of the fluid Water 30 wt-% Paraffin 40 wt-% Paraffin 50 wt-% Paraffin latent heat Heat capacity 100 75 50 25 0 0 5 Temperature difference [K] Comparison of heat capacities of water and PCS Slide 19 © Fraunhofer UMSICHT 10 PCS properties DSC-Measurement of a dispersion with 30 % paraffin (C-20) [2 K/min] Slide 20 © Fraunhofer UMSICHT PCS properties Particle size distribution of a dispersion with 30 % paraffin (C-20) Slide 21 © Fraunhofer UMSICHT PCS properties 1 Viscosity [Pas] 30 wt.-% paraffin - 22 °C 0.1 0.01 0 50 100 150 200 Shear rate [1/s] 250 Viscosity of a of a dispersion with 30 % paraffin (C-20) Slide 22 © Fraunhofer UMSICHT 300 350