Effects of partial slip on micropolar fluid flow and heat transfer over a permeable shrinking sheet with thermal radiation and convective boundary condition

Abstract

In the presence of thermal radiation, partial slip and convective boundary condition, micropolar fluid flow and heat transfer over a shrinking sheet has been studied. The problem is modeled as a mathematical formulation that involves a system of the partial differential equation. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using the shooting method. The flow field is affected by the presence of physical parameters, such as micropolar parameter, wall mass transfer parameter and slip parameter whereas the temperature field is affected by thermal radiation, Biot number and Prandtl number. The skin friction, couple stress and heat transfer coefficients are tabulated and analyzed. The effects of the governing parameters on the velocity, angular and temperature profiles are illustrated graphically. Dual solutions of velocity, angular velocity and temperature are obtained for several values of the each parameter involved. Results shows that, the thickness of boundary layer decline as skin friction coefficient decreases for both solution as the velocity slip increases while for heat transfer coefficient, the physically increases of Biot number corresponding to increment of temperature distribution.