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Optimum slip flow based on the minimization of entropy generation in parallel plate microchannels

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  • Ibáñez, Guillermo
  • López, Aracely
  • Pantoja, Joel
  • Moreira, Joel
  • Reyes, Juan A.

Abstract

The effects of slip flow on heat transfer and entropy generation by considering the conjugate heat transfer problem in microchannels are studied, analytically. The heat transfer equations in the fluid and the finite thickness walls of the microchannel are solved analytically using thermal boundary conditions of the third kind at the outer surfaces of the walls and continuity of temperature and heat flux across the fluid–wall interfaces. After the analytic solutions for the velocity and temperature fields in the fluid and walls of microchannel are obtained, the entropy generation rate is discussed in detail and investigated considering slip flow and convective effects, simultaneously. The results show that the global entropy generation rate is minimized for certain suitable combination of the geometrical and physical parameters of the system. It is possible to find an optimum slip velocity which leads to a minimum global entropy generation rate. The Nusselt number is also calculated and explored for different conditions. An optimum value of the slip length that maximizes the heat transfer is derived.

Suggested Citation

  • Ibáñez, Guillermo & López, Aracely & Pantoja, Joel & Moreira, Joel & Reyes, Juan A., 2013. "Optimum slip flow based on the minimization of entropy generation in parallel plate microchannels," Energy, Elsevier, vol. 50(C), pages 143-149.
    • Handle: RePEc:eee:energy:v:50:y:2013:i:c:p:143-149
    DOI: 10.1016/j.energy.2012.11.036
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    1. Shamshiri, Mehdi & Khazaeli, Reza & Ashrafizaadeh, Mahmud & Mortazavi, Saeed, 2012. "Heat transfer and entropy generation analyses associated with mixed electrokinetically induced and pressure-driven power-law microflows," Energy, Elsevier, vol. 42(1), pages 157-169.
    2. Abbassi, H., 2007. "Entropy generation analysis in a uniformly heated microchannel heat sink," Energy, Elsevier, vol. 32(10), pages 1932-1947.
    3. Aziz, A. & Khan, W.A., 2011. "Classical and minimum entropy generation analyses for steady state conduction with temperature dependent thermal conductivity and asymmetric thermal boundary conditions: Regular and functionally grade," Energy, Elsevier, vol. 36(10), pages 6195-6207.
    4. Basak, Tanmay & Anandalakshmi, R. & Kumar, Pushpendra & Roy, S., 2012. "Entropy generation vs energy flow due to natural convection in a trapezoidal cavity with isothermal and non-isothermal hot bottom wall," Energy, Elsevier, vol. 37(1), pages 514-532.
    5. Bejan, Adrian, 1980. "Second law analysis in heat transfer," Energy, Elsevier, vol. 5(8), pages 720-732.
    6. Ibáñez, Guillermo & Cuevas, Sergio, 2010. "Entropy generation minimization of a MHD (magnetohydrodynamic) flow in a microchannel," Energy, Elsevier, vol. 35(10), pages 4149-4155.
    7. San, J.-Y., 2010. "Second-law performance of heat exchangers for waste heat recovery," Energy, Elsevier, vol. 35(5), pages 1936-1945.
    8. Saidi, M.H. & Montazeri, A., 2007. "Second law analysis of a magnetohydrodynamic plasma generator," Energy, Elsevier, vol. 32(9), pages 1603-1616.
    9. Makinde, O.D., 2008. "Entropy-generation analysis for variable-viscosity channel flow with non-uniform wall temperature," Applied Energy, Elsevier, vol. 85(5), pages 384-393, May.
    10. Mahian, Omid & Mahmud, Shohel & Heris, Saeed Zeinali, 2012. "Analysis of entropy generation between co-rotating cylinders using nanofluids," Energy, Elsevier, vol. 44(1), pages 438-446.
    11. Sciacovelli, Adriano & Verda, Vittorio, 2009. "Entropy generation analysis in a monolithic-type solid oxide fuel cell (SOFC)," Energy, Elsevier, vol. 34(7), pages 850-865.
    12. Revellin, Rémi & Lips, Stéphane & Khandekar, Sameer & Bonjour, Jocelyn, 2009. "Local entropy generation for saturated two-phase flow," Energy, Elsevier, vol. 34(9), pages 1113-1121.
    13. Chen, Sheng & Du, Rui, 2011. "Entropy generation of turbulent double-diffusive natural convection in a rectangle cavity," Energy, Elsevier, vol. 36(3), pages 1721-1734.
    14. Guo, Jiangfeng & Xu, Mingtian & Cai, Jun & Huai, Xiulan, 2011. "Viscous dissipation effect on entropy generation in curved square microchannels," Energy, Elsevier, vol. 36(8), pages 5416-5423.
    15. Li, Xianglin & Faghri, Amir, 2011. "Local entropy generation analysis on passive high-concentration DMFCs (direct methanol fuel cell) with different cell structures," Energy, Elsevier, vol. 36(1), pages 403-414.
    16. Chen, Qun & Wang, Moran & Pan, Ning & Guo, Zeng-Yuan, 2009. "Optimization principles for convective heat transfer," Energy, Elsevier, vol. 34(9), pages 1199-1206.
    17. Rangel-Hernandez, V.H. & Damian-Ascencio, C. & Juarez-Robles, D. & Gallegos-Muñoz, A. & Zaleta-Aguilar, A. & Plascencia-Mora, H., 2011. "Entropy generation analysis of a proton exchange membrane fuel cell (PEMFC) with a fermat spiral as a flow distributor," Energy, Elsevier, vol. 36(8), pages 4864-4870.
    18. Kaluri, Ram Satish & Basak, Tanmay, 2011. "Entropy generation due to natural convection in discretely heated porous square cavities," Energy, Elsevier, vol. 36(8), pages 5065-5080.
    19. Chen, Qun & Xu, Yun-Chao, 2012. "An entransy dissipation-based optimization principle for building central chilled water systems," Energy, Elsevier, vol. 37(1), pages 571-579.
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    3. Escandón, J. & Bautista, O. & Méndez, F., 2013. "Entropy generation in purely electroosmotic flows of non-Newtonian fluids in a microchannel," Energy, Elsevier, vol. 55(C), pages 486-496.
    4. Rashidi, M.M. & Ali, M. & Freidoonimehr, N. & Nazari, F., 2013. "Parametric analysis and optimization of entropy generation in unsteady MHD flow over a stretching rotating disk using artificial neural network and particle swarm optimization algorithm," Energy, Elsevier, vol. 55(C), pages 497-510.
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    6. Torabi, Mohsen & Zhang, Kaili, 2015. "Temperature distribution, local and total entropy generation analyses in MHD porous channels with thick walls," Energy, Elsevier, vol. 87(C), pages 540-554.
    7. Torabi, Mohsen & Zhang, Kaili, 2014. "Classical entropy generation analysis in cooled homogenous and functionally graded material slabs with variation of internal heat generation with temperature, and convective–radiative boundary conditi," Energy, Elsevier, vol. 65(C), pages 387-397.
    8. Matin, Meisam Habibi & Khan, Waqar Ahmed, 2013. "Entropy generation analysis of heat and mass transfer in mixed electrokinetically and pressure driven flow through a slit microchannel," Energy, Elsevier, vol. 56(C), pages 207-217.
    9. Chee, Yi Shen & Ting, Tiew Wei & Hung, Yew Mun, 2015. "Entropy generation of viscous dissipative flow in thermal non-equilibrium porous media with thermal asymmetries," Energy, Elsevier, vol. 89(C), pages 382-401.
    10. Ting, Tiew Wei & Hung, Yew Mun & Guo, Ningqun, 2014. "Entropy generation of nanofluid flow with streamwise conduction in microchannels," Energy, Elsevier, vol. 64(C), pages 979-990.
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