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Journal of Porous Media
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ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v7.i4.30
10 pages

Double-Diffusive Natural Convection Induced by a Wavy Surface in a Stratified Porous Medium

B. V. Rathish Kumar
Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur-208016, India
Shalini
Department of Mathematics and Scientific Computing, Indian Institute of Technology, Kanpur, 208016 India

要約

In this study, heat and mass transfer near a vertical wavy surface embedded in a mass and thermally stratified porous medium has been employed. The complex wavy surface is transformed to a flat plate by a suitable coordinate transformation, and the obtained boundary layer equations are solved by the local nonsimilarity method under a MAT-LAB setup. Influence of the buoyancy ratio, Lewis number, amplitude-wavelength ratio, and thermal and mass stratification levels on the local Nusselt and local Sherwood numbers are analyzed. Presence of mass and/or thermal stratification in the porous domain decreases both the heat and mass transfer from the wavy surface into the porous medium. The amplitude of harmonic curves for the local Sherwood and local Nusselt numbers tend to decrease away from the leading edge of vertical surface either on increasing thermal or mass stratification, or on decreasing buoyancy ratio. Further, these curves also droop downward with mass or/and thermal stratification. Both the average Nusselt and average Sherwood numbers are found to be constantly smaller than those of the corresponding flat plate.


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