Abstract:
The problem of unsteady non–Newtonian flow past a vertical porous plate in the presence of
thermal radiation is investigated. Using the theory of boundary layer analysis, the unsteady
micropolar flow in the presence of exothermic and endothermic chemical reaction is considered.
It is assumed that the relationship between the flow rate and the pressure drop as the micropolar
fluid flows over a porous medium is non–linear. The governing partial differential equations of
the physical model are reduced to ordinary differential equations by introducing local similarity
transformation. 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
computational results for velocity, temperature, micro-rotation and concentration are shown
graphically for various flow parameters. It is found that increase in micro-rotation parameter
increases the velocity while the micro-rotation decreases across the flow region. Maximum
micro-rotation of tiny particles is guaranteed at higher values of the suction parameter. Local
heat transfer rate decreases with an increase in the magnitude of the exothermic/endothermic
parameter. A significant decrease in the horizontal velocity is guaranteed with an increase in the
magnitude of radiation parameter