EFFECTS OF MELTING HEAT TRANSFER AND INDUCED-MAGNETIC FIELD ON THE MICROPOLAR FLUID FLOW TOWARDS STAGNATION POINT

Abstract

The effects of melting heat transfer and induced-magnetic field on micropolar fluid with variable properties towards stagnation point is carried out. The viscosity and thermal conductivity of micropolar fluid are considered to vary linearly with temperature dependent viscosity and thermal conductivity are modified to suit the case of melting heat transfer. A similarity transformation is applied to reduce the governing partial differential equations to couple nonlinear ordinary differential equations corresponding to momentum, angular momentum, energy and induced magnetic field equation. The qualitative properties of the dimensionless governing equations are established. These equations along with the boundary conditions are solved numerically using shooting method along with Runge- Kutta-Gill method together with quadratic interpolation. The effects of temperature dependent viscosity, temperature dependent thermal conductivity, induced parameter, melting, velocity ratio, micropolar coupling constant, prandtl number, non-uniform heat source or sink effects are shown graphically. The results in the present study indicate the velocity and micro-rotation profile increase with increase in temperature dependent viscous parameter.