Chemical reaction and viscous dissipation effects on Darcy‐Forchheimer mixed convection in a fluid saturated porous media

Abstract

Purpose

The purpose of this work is to study the flow of mixed convection and mass transfer of a steady laminar boundary layer about an isothermal vertical flat plate embedded in a non‐Darcian porous medium in the presence of chemical reaction and viscous dissipation effects.

Design/methodology/approach

The governing partial differential equations are converted into ordinary differential equations by similarity transformation, which are solved numerically by employing the fourth‐order Runge‐Kutta integration scheme with Newton‐Raphson shooting technique.

Findings

It was found that the local Nusselt number was predicted to decrease as either of the chemical reaction parameter or the Eckert number increased. On the other hand, the local Sherwood number was predicted to increase as a result of increasing either of the chemical reaction parameter or the Eckert number. Also, in the absence of viscous dissipation, both the local Nusselt and Sherwood numbers increased as the mixed convection increased.

Originality/value

The paper illustrates chemical reaction and viscous dissipation effects on Darcy‐Forchheimer mixed convection in a fluid saturated porous media.

Citation

Mahdy, A. and Chamkha, A.J. (2010), "Chemical reaction and viscous dissipation effects on Darcy‐Forchheimer mixed convection in a fluid saturated porous media", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 20 No. 8, pp. 924-940. https://doi.org/10.1108/09615531011081441