EFFECTS OF CHEMICAL REACTION ON DOUBLE DISPERSION HEAT AND MASS TRANSFER IN NON-DARCY POROUS MEDIA

El-Amin, M. F.; Aissa, W. A.

doi:10.21608/jesaun.2006.111186

EFFECTS OF CHEMICAL REACTION ON DOUBLE DISPERSION HEAT AND MASS TRANSFER IN NON-DARCY POROUS MEDIA

Document Type : Research Paper

Authors

M. F. El-Amin ¹
W. A. Aissa ²

¹ Department of Mathematics, Faculty of Science, South Valley University, Aswan, Egypt.

² Mechanical Power Department, High Institute of Energy, South Valley University, Aswan, Egypt.

10.21608/jesaun.2006.111186

Abstract

In this paper, the effects of chemical reaction and double-dispersion on non-Darcy free convection heat and mass transfer from semi-infinite vertical surface in a fluid saturated porous medium are investigated. The Forchheimer extension (nom-Darcy term) is considered in the flow equations, while the chemical reaction power-law term is considered in the concentration equation. The first order chemical reaction (n=1) was used through this study. The thermal and mass diffusivities; αy and Dy are variables defined as αy = α γ+ ud and Dy = D ζ+ ,ud respectively. The flow, temperature and concentration fields in Darcy and non-Darcy porous media are observed to be governed by complex interactions among the diffusion rate; Le, buoyancy ratio; N, and the parameters Ra,F,, ., γ ζ 0 d χ Numerical results for the details of the velocity, temperature and concentration profiles as well as heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) which are shown on graphs have been presented.

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