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.