Analysis of magnetized chemical reaction under Arrhenius control in the presence of Navier slip and convective boundary conditions

Abstract

The presence of Navier slip and Newtonian heating conditions at the boundary layer flow affects the shear stress distribution and overall flow behavior which causes the thermal boundary layer to be thinner or thicker depending on the relative strength of the slip velocity and Newtonian heating rate. In this paper, the steady state magnetized chemical reaction under Arrhenius control in the presence of Navier slip and Newtonian heating at both walls is studied. Using appropriate dimensionless quantities and parameters, the governing ordinary differential equations in dimensional form have been reduced to dimensionless governing equations. A semi-analytical solution for velocity and temperature are obtained using semi-analytical approach (regular perturbation method). Expressions of skin friction and rate of heat transfer are also displayed. The results show that Navier slip and Newtonian heating conditions affect the flow pattern significantly.