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Entropy generation analysis in a uniformly heated microchannel heat sink

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  • Abbassi, H.

Abstract

Present investigation analyzes the issue of entropy generation in a uniformly heated microchannel heat sink (MCHS). Analytical approach used to solve forced convection problem across MCHS, is a porous medium model based on extended Darcy equation for fluid flow and two-equation model for heat transfer. Simultaneously, closed form velocity solution in a rectangular channel is employed to capture z-directional viscous effect diffusion and its pronounced effect on entropy generation through fluid flow. Subsequently, governing equations are cast into dimensionless form and solved analytically. Second law analysis of problem is then conducted on the basis of obtained velocity and temperature fields and expressions for local and average entropy generation rate are derived in dimensionless form. Average entropy generation rate is then utilized as a criterion for assessing the system performance. Finally, the effect of influential parameters such as, channel aspect ratio (αS), group parameter (Br/Ω), thermal conductivity ratio (C) and porosity (ε) on thermal and total entropy generation is investigated. In order to examine the accuracy of the analysis, the results of thermal evaluation are compared to one of the previous investigations conducted for thermal optimization of MCHS.

Suggested Citation

  • Abbassi, H., 2007. "Entropy generation analysis in a uniformly heated microchannel heat sink," Energy, Elsevier, vol. 32(10), pages 1932-1947.
    • Handle: RePEc:eee:energy:v:32:y:2007:i:10:p:1932-1947
    DOI: 10.1016/j.energy.2007.02.007
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    1. Lior, Noam & Sarmiento-Darkin, Wladimir & Al-Sharqawi, Hassan S., 2006. "The exergy fields in transport processes: Their calculation and use," Energy, Elsevier, vol. 31(5), pages 553-578.
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    3. Shamshiri, Mehdi & Ashrafizaadeh, Mahmud & Shirani, Ebrahim, 2012. "Effects of rarefaction, viscous dissipation and rotation mode on the first and second law analyses of rarefied gaseous slip flows confined between a rotating shaft and its concentric housing," Energy, Elsevier, vol. 37(1), pages 359-370.
    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. 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.
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    7. 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.
    8. 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.
    9. 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.
    10. Nwosu, Nwachukwu P., 2010. "Employing exergy-optimized pin fins in the design of an absorber in a solar air heater," Energy, Elsevier, vol. 35(2), pages 571-575.
    11. Ranjit, N.K. & Shit, G.C., 2017. "Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment," Energy, Elsevier, vol. 128(C), pages 649-660.
    12. 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.
    13. Gaikwad, Harshad Sanjay & Basu, Dipankar Narayan & Mondal, Pranab Kumar, 2017. "Non-linear drag induced irreversibility minimization in a viscous dissipative flow through a micro-porous channel," Energy, Elsevier, vol. 119(C), pages 588-600.
    14. Xie, Zhi-Yong & Jian, Yong-Jun, 2017. "Entropy generation of two-layer magnetohydrodynamic electroosmotic flow through microparallel channels," Energy, Elsevier, vol. 139(C), pages 1080-1093.

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