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Journal of Porous Media
Factor de Impacto: 1.49 Factor de Impacto de 5 años: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v11.i2.40
pages 179-191

Effect of Density Maximum of Water on Natural Convection in a Porous Cavity

M. Eswaramurthi
Department of Mathematics, Kongu Engineering College, Perundurai 638 052, India
Prem Kumar Kandaswamy
UGC-DRS Center for Fluid Dynamics, Department of Mathematics, Bharathiar University, Coimbatore-641046, Tamil Nadu, India; Department of Mechanical Engineering, Yonsei University, Seoul, South Korea
Jinho Lee
School of Mechanical Engineering, Yonsei University, Seoul 120-749, Korea


The effect of density maximum on heat transfer due to the buoyancy-driven flow of water inside a water-saturated porous medium with differentially heated sidewalls is studied numerically. The finite volume method is used to discretize the governing equations, which are solved by Gauss-Seidel and successive overrelaxation methods. The phenomena are discussed for different values of porosity, Darcy number, and Grashof number. The temperature distribution and flow fields are depicted in the form of streamlines, isotherms, and midheight velocity profiles in the figures. It is found that the effect of maximum density is to slow down the natural convection and reduce the average heat transfer. The strengths of convection and heat transfer rate become weak due to more flow restriction in the porous medium for a small porosity.