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FLOW AND HEAT TRANSFER DUE TO A STRETCHING VERTICAL CYLINDER EMBEDDED IN A POROUS MEDIUM IN THE PRESENCE OF A MAGNETIC FIELD AND HEAT SOURCE

Volume 7, Issue 3, 2016, pp. 273-279
DOI: 10.1615/SpecialTopicsRevPorousMedia.v7.i3.40
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ABSTRACT

The present study deals with magnetohydrodynamic flow and heat transfer from an axially stretching vertical circular cylinder embedded in a fluid-saturated isotropic homogeneous porous medium of constant permeability with a heat source. The magnetic field is static, acting radially on the cylinder. The governing equations of motion and energy derived under the usual Boussinesq approximation are coupled nonlinear partial differential equations. Similarity transformations are applied to attain coupled ordinary differential equations, which are simplified numerically by fourth-order Runge–Kutta methods along with the shooting technique. The stresses at the surface and heat convection are computed in terms of the skin friction coefficient and Nusselt number. The effects of various physical parameters pertinent to the problem are computed and analyzed through graphs.

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