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Heat transfer and entropy generation analyses in a channel partially filled with porous media using local thermal non-equilibrium model

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  • Torabi, Mohsen
  • Zhang, Kaili
  • Yang, Guangcheng
  • Wang, Jun
  • Wu, Peng

Abstract

Precise prediction of thermal processes is one of the major concerns in the field of heat transfer and within energy research communities. It has been proven that using LTE (local thermal equilibrium) conditions within a porous medium may give researchers erroneous data. From another point of view, the entropy generation which is directly related to the loss of available work within a system, is in the core of energy associated analyses. This work investigates temperature distribution, Nusselt number, and local and total entropy generation rates within a channel partially filled with porous medium using LTNE (local thermal non-equilibrium) conditions. The lower wall of the channel is exposed to a constant heat flux and the upper wall is assumed in the adiabatic condition. Viscous dissipation effects are incorporated into the energy equations. Rigorous analytical solutions are obtained for the velocity and temperature fields. Incorporating the achieved formulas into certain formulations, Nusselt number, and local and total entropy generation rates are obtained and plotted. Similar to previous publications [Int. J. Heat Mass Transf. 2011;54:5286–97. Transp. Porous Media 2012;96:169–72. J. Heat Trans. 2011;133:052602], some bifurcation phenomena for temperature field and Nusselt number are reported. Moreover, for the first time, a bifurcation phenomenon regarding the entropy generation rate is reported. Comprehensive discussion regarding effects of some thermophysical parameters such as porous thickness, Biot number, Brinkman number, Peclet number and some other parameters on the velocity, temperature, Nusselt number and entropy generation rates is provided. Due to the broad applications of the fundamental studied geometry in this work and, more importantly, the importance of LTNE model in a porous medium, these findings are useful for both industries and scientific researches.

Suggested Citation

  • Torabi, Mohsen & Zhang, Kaili & Yang, Guangcheng & Wang, Jun & Wu, Peng, 2015. "Heat transfer and entropy generation analyses in a channel partially filled with porous media using local thermal non-equilibrium model," Energy, Elsevier, vol. 82(C), pages 922-938.
    • Handle: RePEc:eee:energy:v:82:y:2015:i:c:p:922-938
    DOI: 10.1016/j.energy.2015.01.102
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    References listed on IDEAS

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    1. Jiang, Fangming & Chen, Jiliang & Huang, Wenbo & Luo, Liang, 2014. "A three-dimensional transient model for EGS subsurface thermo-hydraulic process," Energy, Elsevier, vol. 72(C), pages 300-310.
    2. 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.
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    5. Torabi, Mohsen & Zhang, Kaili, 2014. "Temperature distribution and classical entropy generation analyses in an asymmetric cooling composite hollow cylinder with temperature-dependent thermal conductivity and internal heat generation," Energy, Elsevier, vol. 73(C), pages 484-496.
    6. Anand, Vishal, 2014. "Slip law effects on heat transfer and entropy generation of pressure driven flow of a power law fluid in a microchannel under uniform heat flux boundary condition," Energy, Elsevier, vol. 76(C), pages 716-732.
    7. Torabi, Mohsen & Zhang, Kaili & Yang, Guangcheng & Wang, Jun & Wu, Peng, 2014. "Temperature distribution, local and total entropy generation analyses in asymmetric cooling composite geometries with multiple nonlinearities: Effect of imperfect thermal contact," Energy, Elsevier, vol. 78(C), pages 218-234.
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    Cited by:

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    2. Li, Haowen & Yang, Huachao & Xu, Chenxuan & Yan, Jianhua & Cen, Kefa & Ostrikov, Kostya (Ken) & Bo, Zheng, 2022. "Entropy generation analysis in supercapacitor modules based on a three-dimensional coupled thermal model," Energy, Elsevier, vol. 244(PB).
    3. Li, Haowen & Yang, Huachao & Yan, Jianhua & Cen, Kefa & Ostrikov, Kostya (Ken) & Bo, Zheng, 2022. "Energy and entropy generation analysis in a supercapacitor for different operating conditions," Energy, Elsevier, vol. 260(C).
    4. Srinivasacharya, D. & Hima Bindu, K., 2015. "Entropy generation in a micropolar fluid flow through an inclined channel with slip and convective boundary conditions," Energy, Elsevier, vol. 91(C), pages 72-83.
    5. Srinivasacharya, D. & Bindu, K. Hima, 2016. "Entropy generation in a porous annulus due to micropolar fluid flow with slip and convective boundary conditions," Energy, Elsevier, vol. 111(C), pages 165-177.
    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. Siavashi, Majid & Talesh Bahrami, Hamid Reza & Saffari, Hamid, 2015. "Numerical investigation of flow characteristics, heat transfer and entropy generation of nanofluid flow inside an annular pipe partially or completely filled with porous media using two-phase mixture ," Energy, Elsevier, vol. 93(P2), pages 2451-2466.
    8. Hamed Rasam & Prosun Roy & Laura Savoldi & Shabnam Ghahremanian, 2020. "Numerical Assessment of Heat Transfer and Entropy Generation of a Porous Metal Heat Sink for Electronic Cooling Applications," Energies, MDPI, vol. 13(15), pages 1-19, July.

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