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TECHNICAL BRIEFS

# Free Convective Heat and Mass Transfer in a Doubly Stratified Non-Darcy Porous Medium

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

Department of Mathematics, Inidan Institute of Technology, Kharagpur, Kharagpur, 721 302, W.B., India

P. V. S. N. Murthy1

Department of Mathematics, Inidan Institute of Technology, Kharagpur, Kharagpur, 721 302, W.B., Indiapvsnm@iitkgp.ac.in

1

Corresponding author.

J. Heat Transfer 128(11), 1204-1212 (Jun 07, 2006) (9 pages) doi:10.1115/1.2352788 History: Received June 07, 2005; Revised June 07, 2006

## Abstract

Free convective heat and mass transfer from a vertical surface embedded in a doubly stratified non-Darcy porous medium has been analyzed. The wall temperature and concentration are constant and the medium is linearly stratified in the vertical direction with respect to both temperature, and concentration. A series approximation is made for stream function, temperature, and concentration in terms of the stratification parameter. The flow, temperature, and concentration fields are affected by the complex interactions among the diffusion ratio Le, buoyancy ratio $N$ and stratification ratio Sr in addition to the inertia parameter $Fc$. The effect of double stratification of the medium on nondimensional heat and mass transfer coefficients is discussed.

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## Figures

Figure 2

(a) Variation of nondimensional temperature for fixed Fc, N, and Le; (b) variation of nondimensional temperature for fixed Fc, N, Le, and ϵ

Figure 3

(a) Variation of nondimensional concentration for fixed Fc, N, and Le; (b) variation of nondimensional concentration for fixed Fc, N, Le, and ϵ

Figure 4

(a) Variation of nondimensional heat transfer coefficient with ε for fixed Fc, N; (b) variation of nondimensional mass transfer coefficient with ε for fixed Fc, N

Figure 6

(a) Variation of nondimensional concentration for fixed Fc, N, Le; (b) variation of nondimensional concentration for fixed Fc, N, Le, and ϵ

Figure 7

(a) Variation of nondimensional heat transfer coefficient with ε for fixed Fc and N; (b) variation of nondimensional mass transfer coefficient with ε for fixed Fc and N

Figure 1

Free convective heat and mass transfer from a semi-infinite vertical wall in a fluid saturated doubly stratified porous medium

Figure 5

(a) Variation of nondimensional temperature for fixed Fc, N, and Le; (b) variation of nondimensional temperature for fixed Fc, N, Le, and ϵ

Figure 8

(a) Variation of nondimensional heat transfer coefficient with Le for fixed Fc and Sr; (b) variation of nondimensional mass transfer coefficient with Le for fixed Fc and Sr

## Errata

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