Boundary layer flow and heat transfer in a micropolar fluid past a permeable flat plate

An analysis is performed to study the shear stress, the couple-stress and heat transfer characteristics of a laminar mixed convection boundary layer flow of a micropolar fluid past an isothermal permeable plate. The governing nonsimilar boundary layer equations are analyzed using the (i) series solution for small xi, (ii) asymptotic solution for large xi and (iii) primitive-variable formulation and the stream function formulation are being used for all xi. The effects of the material parameters, such as, the vortex viscosity parameter, K, and the transpiration parameter, s, on the shear stress, the couple-stress and heat transfer have been investigated. The agreement between the solutions obtained from the stream-function formulation and the primitive-variable formulation is found to be excellent.