Soret and Dufour effects on Double-Diffusive Free Convection From a Corrugated Vertical Surface in a Non-Darcy Porous Medium

Combined heat and mass transfer process by natural convection from a wavy vertical surface immersed in a fluid-saturated semi-infinite porous medium due to Soret and Dufour effects for Forchheimer extended non-Darcy model has been analyzed. A similarity transformation followed by a wavy to flat surf...

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Bibliographic Details
Published in:Transport in porous media 2010-10, Vol.85 (1), p.117-130
Main Authors: Kumar, B. V. Rathish, Murthy, S. V. S. S. N. V. G. Krishna
Format: Article
Language:English
Subjects:
Boundary layer equations
Buoyancy
Civil Engineering
Classical and Continuum Physics
Computer simulation
Earth and Environmental Science
Earth Sciences
Earth, ocean, space
Exact sciences and technology
Finite difference method
Flat surfaces
Free convection
Geotechnical Engineering & Applied Earth Sciences
Heat transfer
Hydrogeology
Hydrology. Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Lewis numbers
Mass transfer
Nonlinear differential equations
Nonlinear equations
Partial differential equations
Porous media
Similarity
Tables
Transformations
Walls
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Summary:Combined heat and mass transfer process by natural convection from a wavy vertical surface immersed in a fluid-saturated semi-infinite porous medium due to Soret and Dufour effects for Forchheimer extended non-Darcy model has been analyzed. A similarity transformation followed by a wavy to flat surface transformation is applied to the governing coupled non-linear partial differential equations, and they are reduced to boundary layer equations. The obtained boundary layer equations are solved by finite difference scheme based on the Keller-Box approach in conjunction with block-tridiagonal solver. Detailed simulations are carried out for a wide range of parameters like Groshof number ( Gr *), Lewis number ( Le ), Buoyancy ratio ( B ), Wavy wall amplitude ( a ), Soret number ( S r ), and Dufour number ( D f ). Comparison tables local and average Nusselt ( Nu ) number, local and average Sherwood ( Sh ) number plots are presented.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-010-9549-0