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Mixed convection–radiation interaction in a vertical porous channel: Entropy generation

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  • Mahmud, Shohel
  • Fraser, Roydon Andrew

Abstract

The present work examines analytically the effects of radiation heat transfer on magnetohydrodynamic mixed convection through a vertical channel packed with fluid saturated porous substances. First and Second Laws of thermodynamics are applied to analyze the problem. Special attention is given to entropy generation characteristics and their dependency on the various dimensionless parameters, i.e., Hartmann number (Ha), Plank number (Pl), Richardson number (Ri), group parameter (Br/II), etc. A steady-laminar flow of an incompressible-viscous fluid is assumed flowing through the channel with negligible inertia effect. The fluid is further considered as an optically thin gas and electrically conducting. Governing equations in Cartesian coordinates are solved analytically after reasonable simplifications. Expressions for velocity, temperature, local, and average entropy generation rates are analytically derived and presented graphically.

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  • 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.
    • Handle: RePEc:eee:energy:v:28:y:2003:i:15:p:1557-1577
    DOI: 10.1016/S0360-5442(03)00154-3
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    Citations

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    Cited by:

    1. Arikoglu, Aytac & Ozkol, Ibrahim & Komurgoz, Guven, 2008. "Effect of slip on entropy generation in a single rotating disk in MHD flow," Applied Energy, Elsevier, vol. 85(12), pages 1225-1236, December.
    2. 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.
    3. Agudelo, Andrés & Cortés, Cristóbal, 2010. "Thermal radiation and the second law," Energy, Elsevier, vol. 35(2), pages 679-691.
    4. 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.
    5. Anandalakshmi, R. & Kaluri, Ram Satish & Basak, Tanmay, 2011. "Heatline based thermal management for natural convection within right-angled porous triangular enclosures with various thermal conditions of walls," Energy, Elsevier, vol. 36(8), pages 4879-4896.
    6. Adesanya, Samuel O. & Makinde, Oluwole D., 2015. "Irreversibility analysis in a couple stress film flow along an inclined heated plate with adiabatic free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 222-229.
    7. 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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