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Temperature distribution, local and total entropy generation analyses in MHD porous channels with thick walls

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  • Torabi, Mohsen
  • Zhang, Kaili

Abstract

Entropy generation rate is an important characteristic of a thermal system. This work aims to study the temperature distribution, and local and total entropy generation rates within a horizontal porous channel under a uniform magnetic field with thick walls. The thermal conductivity of the walls are considered temperature-dependent and viscous dissipation effects are incorporated into the energy equation. Two types of boundary conditions are employed: Case one which has constant but different temperature boundary conditions and Case two which has heat flux boundary condition on the lower wall and convective boundary condition on the upper wall. Using a combined analytical-numerical solution procedure the temperature fields are obtained. Thereafter, the local and total entropy generation rates are achieved. The correctness of the analytical-numerical solution technique is checked against a completely analytical solution, for cases with temperature-independent thermal conductivities of walls. After validation, the general solution procedure, i.e., solution for cases with temperature-dependent thermal conductivities, is used to investigate the effect of various parameters such as Brinkman number, Hartmann number, Darcy number, porous medium to solid parts thermal conductivity ratio, etc. on the temperature field and entropy generation rates. As an interesting result it was found that depending on the boundary conditions of the channel, porous medium to solid parts thermal conductivity ratio may increase or decrease the total entropy generation rate.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:87:y:2015:i:c:p:540-554
    DOI: 10.1016/j.energy.2015.05.009
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Sheikholeslami, M. & Gorji-Bandpy, M. & Ganji, D.D., 2013. "Numerical investigation of MHD effects on Al2O3–water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM," Energy, Elsevier, vol. 60(C), pages 501-510.
    6. 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.
    7. Mahmud, Shohel & Fraser, Roydon Andrew, 2003. "Mixed convection–radiation interaction in a vertical porous channel: Entropy generation," Energy, Elsevier, vol. 28(15), pages 1557-1577.
    8. 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:

    1. Torabi, Mohsen & Karimi, Nader & Zhang, Kaili, 2015. "Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources," Energy, Elsevier, vol. 93(P1), pages 106-127.
    2. 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.
    3. 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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