Unsteady Darcian Natural Convection within Porous Media of Square Enclosure at Various Rayleigh Numbers

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Transient natural convection within a 2D square cavity filled with a porous medium is numerically investigated. The left wall is suddenly heated to a constant temperature Th, while the right wall is suddenly cooled to a constant temperature Tc. Both the horizontal walls are insulated. The Finite Volume numerical method is used to solve the dimensionless governing equations. The results are obtained for the initial transient state assuaging to the steady state, and for Rayleigh number values of 102–104. It is indicated that the average Nusselt number showing an undershoot during the transient period and that the time needed to reach the steady state is longer for low Rayleigh number and shorter for high Rayleigh number.

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18-22

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] D.B. Ingham, I. Pop (Eds. ), Transport Phenomena in Porous Media, Pergamon, Oxford, vol. II, 1998, (2002).

Google Scholar

[2] D.A. Nield, A. Bejan, Convection in Porous Media, second ed., Springer, New York, (1999).

Google Scholar

[3] K. Vafai (Ed. ), Handbook of Porous Media, Marcel Dekker, New York, (2000).

Google Scholar

[4] I. Pop, D.B. Ingham, Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media, Pergamon, Oxford, (2001).

Google Scholar

[5] A. Bejan, A.D. Kraus (Eds. ), Heat Transfer Handbook, Wiley, New York, (2003).

Google Scholar

[6] A. Bejan, Simple methods for convection in porous media: scale analysis and the intersection of asymptotes, International journal of energy research 27. 10 (2003) 859-874.

DOI: 10.1002/er.922

Google Scholar

[7] E. Magyari, I. Pop, B. Keller, Analytical solutions for unsteady free convection in porous media, Journal of engineering mathematics 48. 2 (2004) 93-104.

DOI: 10.1023/b:engi.0000011914.16863.06

Google Scholar

[8] C. H. Johnson, C. Ping, Possible similarity solutions for free convection boundary layers adjacent to flat plates in porous media, International Journal of Heat and Mass Transfer 21. 6 (1978) 709-718.

DOI: 10.1016/0017-9310(78)90032-7

Google Scholar

[9] G. Lauriat, V. Prasad, Natural convection in a vertical porous cavity: A numerical study for Brinkman-extended Darcy formulation, J. Heat Transfer 109 (1987) 688– 696.

DOI: 10.1115/1.3248143

Google Scholar

[10] A.C. Baytas, I. Pop, Free convection in a square porous cavity using a thermal nonequilibrium model, Int. J. Therm. Sci. 41 (2002) 861–870.

DOI: 10.1016/s1290-0729(02)01379-0

Google Scholar

[11] N. Banu, D.A. Rees, I. Pop, Steady and unsteady free convection in porous cavities with internal heat generation, in: Heat Transfer 1998, Proceedings of 11th IHTC, vol. 4, Kyongju, Korea, 1998, p.375–380.

DOI: 10.1615/ihtc11.3970

Google Scholar

[12] S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, Washington, (1980).

Google Scholar