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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i6.20
pages 483-502

FREE CONVECTION OF VISCOELASTIC WALTER'S FLUID−SATURATED POROUS MEDIUM IN A VERTICAL DOUBLE-PASSAGE WAVY CHANNEL

J. Prathap Kumar
Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India
Jawali C. Umavathi
Department of Mathematics, Gulbarga University, Kalaburgi-585106, Karnataka, India
H. Prema
Department of Mathematics, Gulbarga University, Gulbarga 585 106, Karnataka, India

RÉSUMÉ

Fully developed laminar free convection of a Walter's fluid (model B')-saturated porous medium has been investigated in a vertical double-passage wavy channel. The considered channel has asymmetric constant wall temperatures and is divided into two passages by means of a thin plane baffle. Analytical solutions are found using the perturbation method and long wave approximation has been used to solve the perturbed part. Results are drawn for varying physical parameters such as Grashof number, wall temperature ratio, porous parameter, viscoelastic parameter, and product of wave number and space coordinate at different positions of the baffle. These results indicate that the fully developed flow could be significantly affected with buoyancy forces, wall temperature ratio, viscoelastic parameter, and wave number in the double-passage channel. The skin friction and the Nusselt numbers are given in the tables for varying the governing parameters.


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