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Research Papers: Energy Systems Analysis

Entropy Generation in Laminar Forced Convective Water Flow Due to Overloading Toward the Microscale

[+] Author and Article Information
Pallavi Rastogi

Department of Aerospace Engineering,
Indian Institute of Technology Bombay,
Powai 400076, Mumbai, India
e-mail: pallavirastogi@aero.iitb.ac.in

Shripad P. Mahulikar

Professor
Department of Aerospace Engineering,
Indian Institute of Technology Bombay,
Powai 400076, Mumbai, India
e-mail: spm@aero.iitb.ac.in

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received August 4, 2017; final manuscript received February 24, 2018; published online April 9, 2018. Assoc. Editor: Reza Sheikhi.

J. Energy Resour. Technol 140(8), 082002 (Apr 09, 2018) (8 pages) Paper No: JERT-17-1407; doi: 10.1115/1.4039608 History: Received August 04, 2017; Revised February 24, 2018

In this theoretical study, a fully developed laminar convective water flow in a circular tube is “convectively overloaded” toward the microscale, by decreasing the tube diameter below 1 mm. The entropy generation rate (S˙gen) is obtained (with and without the viscous dissipation term) for a given rate of heat removal using a fixed rate of coolant (water) flow. The uniform wall heat flux and mass flux in a tube increase toward the micro-scale, which is “thermal and flow overloading,” respectively. The variations of—S˙gen due to fluid friction, fluid conduction heat transfer, and their total (S˙gen,tot), toward the micro-scale, are analyzed. Since S˙gen,tot remains more or less the same toward the microscale, it is worth overloading a tube for miniaturization up to the laminar-flow limit.

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References

Herwig, H. , and Wenterodt, T. , 2011, “Second Law Analysis of Momentum and Heat Transfer in Unit Operations,” Int. J. Heat Mass Transfer, 54(7–8), pp. 1323–1330. [CrossRef]
Herwig, H. , and Schmandt, B. , 2014, “How to Determine Losses in a Flow Field: A Paradigm Shift Towards the Second Law Analysis,” Entropy, 16(12), pp. 2959–2989. [CrossRef]
Gyftopoulos, E. P. , 1998, “Thermodynamic Definition and Quantum-Theoretic Pictorial Illustration of Entropy,” ASME J. Energy Resour. Technol., 120(2), pp. 154–160. [CrossRef]
Bejan, A. , 1982, “Second-Law Analysis in Heat Transfer and Thermal Design,” Adv. Heat Transfer, 15, pp. 1–58. [CrossRef]
Bejan, A. , 1996, “The Equivalence of Maximum Power and Minimum Entropy Generation Rate in the Optimization of Power Plants,” ASME J. Energy Resour. Technol., 118(2), pp. 98–101. [CrossRef]
Sun, Z. F. , and Carrington, C. G. , 1991, “Application of Nonequilibrium Thermodynamics in Second Law Analysis,” ASME J. Energy Resour. Technol., 113(1), pp. 33–39. [CrossRef]
Bejan, A. , 1996, “A Entropy Generation Minimization: The New Thermodynamics of Finite-Size Devices and Finite-Time Processes,” J. Appl. Phys., 79(3), pp. 1191–1218. [CrossRef]
Sciacovelli, A. , and Verda, V. , 2010, “Entropy Generation Minimization in a Tubular Solid Oxide Fuel Cell,” ASME J. Energy Resour. Technol., 132(1), p. 012601. [CrossRef]
Lucia, U. , 2012, “Maximum or Minimum Entropy Generation for Open Systems?,” Phys. A, 391(12), pp. 3392–3398. [CrossRef]
Swenson, R. , 1992, “Autocatakinetics, Yes—Autopoiesis, No—Steps Toward a Unified Theory of Evolutionary Ordering,” Int. J. Gen. Syst., 21(2), pp. 207–228. [CrossRef]
García-Morales, V. , Pellicer, J. , and Manzanares, J. A. , 2008, “Thermodynamics Based on the Principle of Least Abbreviated Action: Entropy Production in a Network of Coupled Oscillators,” Ann. Phys., 323(8), pp. 1844–1858. [CrossRef]
Maupertuis, P-LM. D. , 1746, “Les Loix Du Mouvement Et Du Repos Déduites D'un Principe Metaphysique,” Histoire De L'Académie Royale Des Sciences Et Des Belles-Lettres De Berlin, The Berlin Academy, pp. 267–294.
Hesselgreaves, J. , 2000, “Rationalisation of Second Law Analysis of Heat Exchangers,” Int. J. Heat Mass Transfer, 43(22), pp. 4189–4204. [CrossRef]
Herwig, H. , and Kock, F. , 2007, “Direct and Indirect Methods of Calculating Entropy Generation Rates in Turbulent Convective Heat Transfer Problems,” Heat Mass Transfer, 43(3), pp. 207–215. [CrossRef]
Edalatpour, M. , and Solano, J. P. , 2017, “Thermal-Hydraulic Characteristics and Exergy Performance in Tube-on-Sheet Flat Plate Solar Collectors: Effects of Nanofluids and Mixed Convection,” Int. J. Therm. Sci., 118, pp. 397–409. [CrossRef]
Bejan, A. , 1979, “A Study of Entropy Generation in Fundamental Convective Heat Transfer,” ASME J. Heat Transfer, 101(4), pp. 718–727. [CrossRef]
Sahin, A. Z. , 1996, “Thermodynamics of Laminar Viscous Flow Through a Duct Subjected to Constant Heat Flux,” Energy, 21(12), pp. 1179–1187. [CrossRef]
Oztop, H. F. , 2005, “Effective Parameters on Second Law Analysis for Semicircular Ducts in Laminar Flow and Constant Wall Heat Flux,” Int. Commun. Heat Mass Transfer, 32(1–2), pp. 266–274. [CrossRef]
Ko, T. H. , and Ting, K. , 2006, “Entropy Generation and Optimal Analysis for Laminar Forced Convection in Curved Rectangular Ducts: A Numerical Study,” Int. J. Therm. Sci., 45(2), pp. 138–150. [CrossRef]
Ko, T. H. , and Ting, K. , 2005, “Entropy Generation and Thermodynamic Optimization of Fully Developed Laminar Convection in a Helical Coil,” Int. Commun. Heat Mass Transfer, 32(1–2), pp. 214–223. [CrossRef]
Ko, T. H. , and Ting, K. , 2006, “Optimal Reynolds Number for the Fully Developed Laminar Forced Convection in a Helical Coiled Tube,” Energy, 31(12), pp. 2142–2152. [CrossRef]
Guo, J. , Xu, M. , and Cheng, L. , 2011, “Second Law Analysis of Curved Rectangular Channels,” Int. J. Therm. Sci., 50(5), pp. 760–768. [CrossRef]
Sheikhi, M. R. H. , Safari, M. , and Metghalchi, H. , 2012, “Large Eddy Simulation for Local Entropy Generation Analysis of Turbulent Flows,” ASME J. Energy Resour. Technol., 134(4), p. 041603. [CrossRef]
Kandlikar, S. G. , 2005, “High Flux Heat Removal With Microchannels—A Roadmap of Challenges and Opportunities,” Heat Transfer Eng., 26(8), pp. 5–14. [CrossRef]
Yang, K.-J. , and Zuo, C.-C. , 2015, “A Novel Multi-Layer Manifold Microchannel Cooling System for Concentrating Photovoltaic Cells,” Energy Convers. Manage., 89, pp. 214–221. [CrossRef]
Bunker, R. S. , 2007, “Gas Turbine Heat Transfer: Ten Remaining Hot Gas Path Challenges,” ASME J. Turbomach., 129(2), pp. 193–201. [CrossRef]
Mahulikar, S. P. , and Herwig, H. , 2006, “Physical Effects in Laminar Microconvection Due to Variations in Incompressible Fluid Properties,” Phys. Fluids, 18(7), p. 073601.
Saffaripour, M. , and Culham, R. , 2010, “Measurement of Entropy Generation in Microscale Thermal-Fluid Systems,” ASME J. Heat Transfer, 132(12), p. 121401. [CrossRef]
Moghaddami, M. , Shahidi, S. , and Siavashi, M. , 2012, “Entropy Generation Analysis of Nanofluid Flow in Turbulent and Laminar Regimes,” J. Comput. Theor. Nanosci., 9(10), pp. 1586–1595. [CrossRef]
Ting, T.-W. , Hung, Y.-M. , and Guo, N.-Q. , 2016, “Viscous Dissipation Effect on Streamwise Entropy Generation of Nanofluid Flow in Microchannel Heat Sinks,” ASME J. Energy Resour. Technol., 138(5), p. 052002. [CrossRef]
Prabhu, S. V. , and Mahulikar, S. P. , 2014, “Effects of Density and Thermal Conductivity Variations on Entropy Generation in Gas Micro Flows,” Int. J. Heat Mass Transfer, 79, pp. 472–485. [CrossRef]
Awad, M. M. , 2015, “A Review of Entropy Generation in Microchannels,” Adv. Mech. Eng., 7(12), pp. 1–32. [CrossRef]
Rastogi, P. , and Mahulikar, S. P. , 2018, “Optimization of Micro-Heat Sink Based on Theory of Entropy Generation in Laminar Forced Convection,” Int. J. Therm. Sci., 126, pp. 96–104. [CrossRef]
Judy, J. , Maynes, D. , and Webb, B. W. , 2002, “Characterization of Frictional Pressure Drop for Liquid Flows Through Microchannels,” Int. J. Heat Mass Transfer, 45(17), pp. 3477–3489. [CrossRef]
Xu, B. , Ooi, K. T. , Mavriplis, C. , and Zaghloul, M. E. , 2003, “Evaluation of Viscous Dissipation in Liquid Flow in Microchannels,” J. Micromech. Microeng., 13(1), pp. 53–57. [CrossRef]
Koo, J. , and Kleinstreuer, C. , 2004, “Viscous Dissipation Effects in Microtubes and Microchannels,” Int. J. Heat Mass Transfer, 47(14–16), pp. 3159–3169. [CrossRef]
Hetsroni, G. , Mosyak, A. , Pogrebnyak, E. , and Yarin, L. P. , 2005, “Heat Transfer in Microchannels: Comparison of Experiments With Theory and Numerical Results,” Int. J. Heat Mass Transfer, 48(25–26), pp. 5580–5601. [CrossRef]
Morini, G. L. , 2005, “Viscous Heating in Liquid Flows in Micro-Channels,” Int. J. Heat Mass Transfer, 48(17), pp. 3637–3647. [CrossRef]
Celata, G. P. , Morini, G. L. , Marconi, V. , McPhail, S. J. , and Zummo, G. , 2006, “Using Viscous Heating to Determine the Friction Factor in Micro Channels—An Experimental Validation,” Exp. Therm. Fluid Sci., 30(8), pp. 725–731. [CrossRef]
Hung, Y. M. , 2009, “A Comparative Study of Viscous Dissipation Effect on Entropy Generation in Single-Phase Liquid Flow in Micro Channels,” Int. J. Therm. Sci., 48(5), pp. 1026–1035. [CrossRef]
Li, J. , and Kleinstreuer, C. , 2010, “Entropy Generation Analysis for Nanofluid Flow in Microchannels,” ASME J. Heat Transfer, 132(12), p. 122401. [CrossRef]
Guo, J. , Xu, M. , Cai, J. , and Huai, X. , 2011, “Viscous Dissipation Effect on Entropy Generation in Curved Square Microchannels,” Energy, 36(8), pp. 5416–5423. [CrossRef]
Ou, J. W. , and Cheng, K. C. , 1973, “Viscous Dissipation Effects on Thermal Entrance Region Heat Transfer in Pipes With Uniform Wall Heat Flux,” App. Sci. Res., 28(1), pp. 289–301. [CrossRef]
Ghajar, A. J. , Tang, C. C. , and Cook, W. L. , 2010, “Experimental Investigation of Friction Factor in the Transition Region for Water Flow in Minitubes and Microtubes,” Heat Transfer Eng., 31(8), pp. 646–657. [CrossRef]
Maplesoft, 1996–2014, “Maple16 User Manual,” Maplesoft-Waterloo Maple Inc., Waterloo, ON, Canada.

Figures

Grahic Jump Location
Fig. 1

Schematic of convective Hagen–Poiseuille water flow through circular tube

Grahic Jump Location
Fig. 2

Entropy generation due to fluid friction, toward the microscale

Grahic Jump Location
Fig. 3

Entropy generation due to heat conduction in fluid, toward the microscale: (a) radial heat conduction in fluid and (b) axial heat conduction in fluid

Grahic Jump Location
Fig. 4

Entropy generation due to convective heat transfer, toward the microscale

Grahic Jump Location
Fig. 5

Dimensionless entropy generation due to convective heat transfer, toward the microscale

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