Abstract

    Sulemana1 , I.Y. Seini2 and T. Ayando2 1, 2, 3 Department of Mathematics, University for Development Studies, Nyankpala Campus, P. O. Box 1350, Tamale, Ghana Abstract A heat transfer problem of a chemically reactive fluid across exponentially stretching vertical surface with transverse magnetic field in an unsteady porous medium has been elucidated. The problem is modeled as a tempo-spatial partial differential equations with appropriate boundary conditions. A transformation technique based on similarity analysis results in dimensionless equations which are solved by means of Approximate Analytic Method. The results are illustrated graphically and compared with previously published results which shown a good agreement. It is noted that high Eckert number increases the kinetic energy of the fluid and as a novelty, the Eckert number under the influence of chemically reactive magnetic field is effective in controlling the heat flow in porous medium. Whilst Eckert number improves the thermal boundary layer thickness, there is a retarding flow due to the presence of the magnetic field and a reduced skin friction due to the chemical reaction parameter. Reduced skin friction is beneficial in various applications such as aerodynamics, hydrodynamic and the design of efficient transportation systems. The present study results are also applicable in materials processing and solar energy collector systems. Keywords: Heat transfer; magnetic field; incompressible fluid; porous medium; Approximate Analytical Method.