COMBINED EFFECT OF MAGNETIC AND BUOYANCY FORCES ON MELTING FROM A VERTICAL PLATE HAVING VARIABLE TEMPERATURE EMBEDDED IN POROUS MEDIUM
A. ABUBAKAR *
Department of Mathematics and Computer Science, Ibrahim Badamasi Babangida University, Lapai, Nigeria.
A. I. MA’ALI
Department of Mathematics and Computer Science, Ibrahim Badamasi Babangida University, Lapai, Nigeria.
U. MOHAMMED
Department of Mathematics, Federal University of Technology, Minna, Nigeria
*Author to whom correspondence should be addressed.
Abstract
The Combined effect of magnetic and buoyancy forces on melting from a vertical plate having variable temperature embedded in porous medium are investigated numerically. The similarity equations are integrated by use of the fourth-order Runge-Kutta method coupled together with shooting techniques to satisfy the boundary conditions. The effects of Magnetic number (Ha), Melting parameter (M), Mixed convection parameter (Gr/Re) and constant (λ) on the velocity temperature profiles are presented graphically. Heat transfer in the melting region has also been studied and the effect of melting parameter and magnetic parameter on Nusselt number are presented in graphical form.
Keywords: Liquid phase, mixed convection, magnetic effect, buoyancy forces effect, melting effect, porous medium