Journal of Mathematics and Statistics

Transient MHD Mixed Double Diffusive Convection Along a Vertical Plate Embedded in a Non-Darcy Porous Medium with Suction or Injection

Khaled K. Jaber

DOI : 10.3844/jmssp.2012.15.23

Journal of Mathematics and Statistics

Volume 8, Issue 1

Pages 15-23

Abstract

Problem statement: Transient non-Darcy mixed double convection from a semi-infinite, isothermal vertical plate embedded in a homogeneous porous medium, in the presence of surface suction or injection had been numerically investigated. Approach: Forchheimer extension was considered in the flow equations. Appropriate transformations were employed to transform the derived partial differential equations governing the problem under consideration on the assumption of a small magnetic Reynolds number into a system of non linear ordinary differential equations, which were integrated by the fourth-order Runge-Kutta method. Results: Numerical results illustrating the effects of all involved parameters on the transient velocity, temperature and concentration profiles, the local Nussle, the local Sherwood numbers and the local skin fiction coefficient, were presented and discussed. The results were compared with those known from literature. Conclusion: Velocity and temperature increase due to the increasing of the parameters involved in the problem, while the increasing in the solutal dispersion parameter decreases the mass transfer coefficint.

Copyright

© 2012 Khaled K. Jaber. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.