Effects of Chemical Reaction and Double Dispersion on Non-Darcy Free Convection Heat and Mass Transfer

Abstract

In this article, the effects of chemical reaction and double dispersion on nonDarcy free convection heat and mass transfer from semi-infinite, impermeable vertical wall in a fluid saturated porous medium are investigated. The Forchheimer extension (nonDarcy 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.

Mixed convective heat transfer from a vertical plate embedded in a saturated non-Darcy porous medium with concentration and melting effect

“…The physics behind this may be explained in such a way that Lewis number implies that heat dispersion is more pronounced than mass dispersion and for this particular system this results in heat and mass transfer rates are larger for large values of Lewis number as compared with the small values of Lewis number. These results are similar to the results obtained by El-Amin et al (2008). It is clear from figure 4b that for small values of Lewis number, mixed convection parameter enhances the mass transfer rate near that wall.…”

Non-Similar Solutions for Heat and Mass Transfer from a Surface Embedded in a Porous Medium for Two Prescribed Thermal and Solutal Boundary Conditions

“…Salem (2006) investigated coupled heat and mass transfer in DarcyForchheimer mixed convection from a vertical flat plate embedded in a fluidsaturated porous medium under the effects of radiation and viscous dissipation. El-Amin, et al (2008) studied the effects of chemical reaction and double dispersion on non-Darcy free convection heat and mass transfer. Mansour, et al (2008) analyzed the effects of chemical reaction and thermal stratification on MHD free convection heat and mass transfer over a vertical stretching surface embedded in a porous media considering Soret and Dufour numbers.…”

Solute Transport With Chemical Reaction in Singleand Multi-Phase Flow in Porous Media

“…The present investigation describes the combined effect of chemical reaction, solutal, and thermal dispersions on non-Darcian natural convection heat and mass transfer over a vertical flat plate in a fluid saturated porous medium (El-Amin et al, 2008). It can be described as follows: A fluid saturating a porous medium is induced to flow steadily by the action of buoyancy forces originated by the combined effect of both heat and solute concentration on the density of the saturating fluid.…”