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Research Papers: Porous Media

A Study of Double Diffusive Free Convection From a Corrugated Vertical Surface in a Darcy Porous Medium Under Soret and Dufour effects

[+] Author and Article Information
S.V.S.S.N.V.G. Krishna Murthy

B.V. Rathish Kumar1

Peeyush Chandra, Vivek Sangwan, Mohit Nigam

Department of Mathematics and Statistics,  Indian Institute of Technology Kanpur, Kanpur-208016, India

1

Corresponding author.

J. Heat Transfer 133(9), 092601 (Jul 07, 2011) (7 pages) doi:10.1115/1.4003813 History: Received March 27, 2010; Revised February 11, 2011; Published July 07, 2011; Online July 07, 2011

This study examines the influence of Soret and Dufour effects on double diffusive free convection due to wavy vertical surface immersed in a fluid saturated semi-infinite porous medium under Darcian assumptions. A wavy to flat surface transformation is applied, and the resulting coupled nonlinear partial differential equations under Boussinesq approximation are reduced to boundary layer equations. A finite difference scheme based on the Keller-Box approach has been used in conjunction with block-tridiagonal solver for obtaining the solution for boundary layer equations. Results from the current study are compared with those available in literature. The effect of various parameters such as wave amplitude (a), Lewis number (Le), buoyancy ratio (B), and Soret (Sr) and Dufour (Df) numbers are analyzed through local and average Nusselt number, and local and average Sherwood number plots.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 6

(a) Local Nu, (b) local Sh, (c) average Nu, and (d) average Sh plots along the vertical wall when fixing a = 0.2, B = 2, Df  = 0.09, Sr  = 0.05, for varying Le

Grahic Jump Location
Figure 5

(a) Local Nu, (b) local Sh, (c) average Nu, and (d) average Sh plots along the vertical wall when fixing a = 0.2, Le = 1, Df  = 0.09, Sr  = 0.05, for varying B

Grahic Jump Location
Figure 4

(a) Local Nu, (b) local Sh, (c) average Nu, and (d) average Sh plots along the vertical wall when fixing B = 2, Le = 1, Df  = 0.09, Sr  = 0.05 for varying a

Grahic Jump Location
Figure 3

When fixing a = 0.4, B = 1, Le = 0.1, (a) local Nu and (b) local Sh plots along the vertical wall for varying Sr when Df  = 0.001, (c) local Nu and (d) local Sh plots along the vertical wall for varying Df when Sr  = 0.001

Grahic Jump Location
Figure 2

Grid validation tests for various grids at ξ=0, a = 0, ST  = 0, SC  = 0 by comparing results with Ref. [3]

Grahic Jump Location
Figure 1

Schematic diagram of the physical model with prescribed boundary conditions and the coordinate system

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