Research Article Open Access

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

Khaled K. Jaber

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.

Journal of Mathematics and Statistics
Volume 8 No. 1, 2012, 15-23

DOI: https://doi.org/10.3844/jmssp.2012.15.23

Submitted On: 27 September 2011 Published On: 10 December 2011

How to Cite: Jaber, K. K. (2012). Transient MHD Mixed Double Diffusive Convection Along a Vertical Plate Embedded in a Non-Darcy Porous Medium with Suction or Injection. Journal of Mathematics and Statistics, 8(1), 15-23. https://doi.org/10.3844/jmssp.2012.15.23

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Keywords

  • Uniform magnetic
  • reynolds number
  • appropriate transformations
  • runge-kutta method
  • isothermal vertical
  • porous medium
  • transient non-darcy flow