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Modelling of the free surface with heat and mass transfer considerations on a liquid filling a porous slab heated from its sides
Author(s) -
Prabhu S. M.,
Soundarajankrishnan T.
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1422
Subject(s) - nusselt number , slab , heat transfer , free surface , mechanics , rayleigh number , thermal conduction , natural convection , coordinate system , mass transfer , convection , thermodynamics , heat flux , porous medium , physics , geometry , materials science , porosity , mathematics , reynolds number , turbulence , geophysics , composite material
Abstract The position of the free surface is calculated numerically for a porous slab which is partly filled with a liquid and differentially heated from its sides. A coordinate transformation is used to transform the original problem from a physical coordinate system to a non‐orthogonal system where the free surface becomes a fixed straightline. The transformed problem is then solved using a finite difference method. Results are obtained for Rayleigh numbers up to 1000. The Nusselt numbers increase slightly with medium Rayleigh numbers (convection‐dominated region) as expected. Since at low Ra the conduction is dominant and at high Ra radiation is dominant. Hadizadeh and Tien ( Int. J. Heat Mass Transfer 2004; 17 (6):799–804) studied the forced convection on the surface of porous layer. In that paper they dealt with in detail the boundary regime of liquid in the channel and modelled the flow and heat transfer. Copyright © 2007 John Wiley & Sons, Ltd.