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Entropy Generation for Natural Convection in a Darcy – Brinkman Porous Cavity

Authors: Ali Mchirgui, Nejib Hidouri, Mourad Magherbi, Ammar Ben Brahim


The paper provides a numerical investigation of the entropy generation analysis due to natural convection in an inclined square porous cavity. The coupled equations of mass, momentum, energy and species conservation are solved using the Control Volume Finite-Element Method. Effect of medium permeability and inclination angle on entropy generation is analysed. It was found that according to the Darcy number and the porous thermal Raleigh number values, the entropy generation could be mainly due to heat transfer or to fluid friction irreversibility and that entropy generation reaches extremum values for specific inclination angles.

Keywords: Porous media, entropy generation, convection, numerical method.

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[1] A. K. Sen , Natural convection in a shallow porous cavity-the Brinkman model, int. J. Heat Mess Tran., 5. pp. 855-868. May1987.
[2] Lauriat, G., Prasad, V., Natural convection in a vertical porous cavity: a numerical study for Brinkman-extended Darcy formulation. J. Heat. Trans. 109, pp 688-696 Aug. (1987).
[3] P. Alam, S. R. Ansari, and R. Kumar, Numerical study on natural convection in a porous cavity due to patial heating and cooling at vertical walls, Int. J. of Appl. Math. and Mech. Vol. 7(18): pp1-21, feb. 2011.
[4] M. S. Selamat, I. Hashim, M. K. Hasan, transient Natural Convection in Porous Square Cavity Heated and Cooled on Adjacent Walls, Math. Prob. in Eng.Vol 2012, jan. 2012.
[5] B.C. Nader , B.B. Brahim , L. Taieb, Influence of thermal boundary conditions on natural convection in a square enclosure partially heated from below. Int. Comm. in Heat and Mass Trans., vol. 34, pp. 369-379, Mar.2007.
[6] Shiina, Y., Hishida, M.: Critical Rayleigh number of natural convection in high porosity anisotropic horizontal porous layers, Int. J. of Heat and Mass Trans., Vol 53, pp 1507-1513 Mar. 2010.
[7] A. C. Baytas, optimisation in an inclined enclosure for minimum entropy generation in natural convection. j. Non-Equilib. Thermodyn. Vol 22, pp 145-155, Oct.1997.
[8] A. C.Baytas, Entropy generation for natural convection in an inclined porous cavity. Int. J. Heat and mass Trans. Vol 43, pp 2089-2099, Jun.2000.
[9] Famouri, M., Hooman, K.,Entropy generation for natural convection by heated partitions in a cavity. Int. Com. in Heat and Mass Trans. Vol 35, pp 492-502, Apr. 2008.
[10] N.Hidouri, H. abbassi, M. Magherbi, A. Ben Brahim, Entropy generation in double diffusive convection in presence of the Soret effect, progress in computational fluid dynamics, Vol. 7, 5 , pp 237 - 246, Jun.2007.
[11] Hidouri, N., Ben Brahim, A. Influence of Soret and Dufour effects on entropy generation in transient double diffusive convection, Int. J. Exergy, 7, 4, 454-481, Jun. 2010.
[12] A. Mukhopadhyay, Analysis of entropy generation due to natural convection in square enclosures with multiple discrete heat sources, Int. Comm. in Heat and Mass Transfer vol.37, pp867-872, Aug. 2010.
[13] I. Zahmatkesh, on the importance of thermal boundary conditions in heat transfer and entropy generation for natural convection inside a porous enclosure, Int. J. of Ther. Sci., 47, pp 339-346, Mar. 2008.
[14] K. Hooman, F. Hooman, S. R. Mohebpour, Entropy generation for forced convection in a porous channel with isoflux or isothermal walls. Int. J. Exergy. Vol.5, pp 78-96, Jan. 2008.
[15] H. J. Saabas, B.R. Baliga, Co-located equal-order control-volume finiteelement method for multidimensional incompressible fluid flow. Part I: Formulation. Numer. Heat Transfer Pt. B-Fund.vol 26, 381-407, Jan. 1994.
[16] R. Younsi, A. Harkati, D. Kalache, Numerical simulation of double diffusive natural convection in a porous cavity: opposing flow. The Arabian J. for Sci. and Eng. Vol 27, pp181-194, Dec. 2002.
[17] P. Nithiarasu, K.N Seetharamu, T. Sundararajan, Double-diffusive natural convection in an enclosure filled with fluid- saturated porous medium: a generalized non-Darcy approach. Num. Heat Trans. Vol 30, pp 413- 426, Mar.1996.