Approximate Analytic Solutions for the Influence of Mass Flux on Mixed Convection in a Saturated Porous Medium

Authors

Randolph C. Rach, The George Adomian Center for Applied Mathematics, 316 South Maple Street, Hartford, MI 49057- 1225, U.S.A.Follow
Lazhar Bougoffa, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Faculty of Science, Department of Mathematics, P.O. Box 90950, Riyadh 11623, Saudi ArabiaFollow
Ammar Khanfer, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Faculty of Science, Department of Mathematics, P.O. Box 90950, Riyadh 11623, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In this paper, we have considered the nonlinear coupled boundary-layer equations that describe the problem of injection or extraction of fluid along the surface of an inclined wall embedded in a saturated porous medium. We obtain very accurate approximate analytic solutions in closed-form by a direct method for the special cases l = 0 and l = 1. Furthermore, an accurate analytic series solution is obtained by the modified Adomian decomposition method for the two limiting cases of free and forced convection by setting Rak Pex = 0 and Rak Pex 6= 0, respectively.

Recommended Citation

C. Rach, Randolph; Bougoffa, Lazhar; and Khanfer, Ammar (2015) "Approximate Analytic Solutions for the Influence of Mass Flux on Mixed Convection in a Saturated Porous Medium," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 12.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/12