MAGNETIC EFFECTS OF FERROFLUID FLOW IN A HEATED MICROCHANNEL WITH PERMEABLE WALLS

Abstract

In this paper, we analyze the combined effects of magnetic field, nanoparticles volume fractions, variable viscosity of unsteady ferrofluid flow in a microchannel with parallel permeable walls oriented horizontally whose temperatures are held asymmetrically. Using similarity transformation process, the governing Navier-Stoke’s, energy equations and the associated initial boundary conditions (IBCs) are reduced to a set of dimensionless nonlinear partial differential equations with IBCs. The numerical method used for solving these equations is semi-discretization via centered finite difference with Runge-Kutta Fehlberg integration techniques. The effects of pertinent parameters on dimensionless fluid velocity, temperature, skin friction, Nusselt number are analyzed through graphical depiction using MAPLE software.