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Journal of Porous Media
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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v15.i9.60
pages 877-890

DOUBLE DIFFUSIVE FREE CONVECTION INDUCED BY VERTICAL WAVY SURFACE IN A DOUBLY STRATIFIED DARCY POROUS MEDIUM UNDER THE INFLUENCE OF SORET AND DUFOUR EFFECT

B. V. Rathish Kumar
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, India
Somanchi V S S N V G Krishna Murthy
Department of Applied Mathematics, Defence Institute of Advanced Technology, Gririnagar, Pune 411025, India

ABSTRAKT

A combined heat and mass transfer process by natural convection along a vertical wavy surface immersed in a thermal and mass stratified Darcy porous medium under the influence of Soret and Dufour effects have been analyzed. The governing partial differential equations are transformed into a set of coupled boundary layer equations based on non-similarity transformation deduced by scale analysis and are solved numerically by a finite-difference scheme following the Keller-box approach. Detailed simulations are carried out to investigate the effect of varying parameters such as: the wave amplitude (a), buoyancy ratio (B ), Lewis number (Le), Soret (Sr ) and Dufour (Df ) effect coefficients, and the presence of thermal (ST ) and mass (SC ) stratification. Local and average Nusselt (Nu) number and Sherwood (Sh) number plots are presented in all cases.


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