Effects of Chemical Reaction and Double Dispersion on Non-Darcy Free Convection Heat and Mass Transfer |
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| Authors: | M F El-Amin W A Aissa Amgad Salama |
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| Institution: | (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;(3) Institute of Environmental Systems, Kyushu University, Fukuoka, Japan;(4) Atomic Energy Authority, Cairo, Egypt |
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| Abstract: | In this article, the effects of chemical reaction and double dispersion on non-Darcy free convection heat and mass transfer
from semi-infinite, impermeable vertical wall in a fluid saturated porous medium are investigated. The Forchheimer extension
(non-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 as an example of calculations. The Darcy and non-Darcy flow, temperature and concentration fields in this study
are observed to be governed by complex interactions among dispersion and natural convection mechanisms. The governing set
of partial differential equations were non-dimensionalized and reduced to a set of ordinary differential equations for which
Runge–Kutta-based numerical technique were implemented. Numerical results for the detail of the velocity, temperature, and
concentration profiles as well as heat transfer rates (Nusselt number) and mass transfer rates (Sherwood number) are presented
in graphs. |
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| Keywords: | Chemical reaction Double dispersion Porous medium Heat transfer Mass transfer Non-Darcy |
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