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Technical Briefs

# Soret and Dufour Effects on Free Convection Heat and Mass Transfer From a Horizontal Flat Plate in a Darcy Porous Medium

[+] Author and Article Information
P. A. Lakshmi Narayana

Department of Mathematics, Indian Institute of Technology, Kharagpur, Kharagpur, 721 302 West Bengal, India

P. V. Murthy1

Department of Mathematics, Indian Institute of Technology, Kharagpur, Kharagpur, 721 302 West Bengal, Indiapvsnm@maths.iitkgp.ernet.in

1

Corresponding author.

J. Heat Transfer 130(10), 104504 (Aug 07, 2008) (5 pages) doi:10.1115/1.2789716 History: Received September 26, 2006; Revised July 17, 2007; Published August 07, 2008

## Abstract

The effect of Soret and Dufour parameters on free convection from a horizontal flat plate in a Darcian fluid saturated porous medium is analyzed using the similarity solution technique. With constant wall temperature and concentration, the similarity solution is possible even when Soret and Dufour effects are considered in the medium. The transformed coupled systems of ordinary differential equations involve parameters such as the buoyancy ratio parameter $N$ and diffusivity ratio Le in addition to the Soret Sr and Dufour Df parameters. The effect of all these parameters on the convective transport has been analyzed, and the variation of heat and mass transfer coefficients with Dufour and Soret parameters is presented through computer generated graphs.

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## Figures

Figure 1

Schematic of the problem

Figure 2

(a) Variation of θ with η for fixed N for varying Le and Df in the absence of Sr. (b) Variation of ϕ with η for fixed N for varying Le and Sr in the absence of Df.

Figure 3

Variation of nondimensional heat transfer coefficient with Df for varying Le and Sr for fixed N

Figure 4

(a) Variation of nondimensional mass transfer coefficient with Sr for varying Le and Df for fixed N. (b) Variation of nondimensional mass transfer coefficient with Le with varying Sr for fixed N in the absence of Df.

Figure 5

(a) Variation of θ with η for fixed N for varying Le and Df in the absence of Sr. (b) Variation of ϕ with η for fixed N for varying Le and Sr in the absence of Df.

Figure 6

(a) Variation of nondimensional heat transfer coefficient with Df for varying Le and Sr for fixed N. (b) Variation of nondimensional heat transfer coefficient with Le for fixed N with varying Df in the absence of Sr.

Figure 7

(a) Variation of nondimensional mass transfer coefficient with Sr for varying Le and Df for fixed N. (b) Variation of nondimensional mass transfer coefficient with Le for fixed N with vaying Sr in the absence of Df.

## Errata

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