Multiple exact solutions for micropolar slip flow and heat transfer of a bidirectional moving plate

The analysis of micropolar fluid flow over a deforming permeable surface is carried out taking into account velocity slip with constant and linearly growing temperature field conditions. Upon using the boundary layer approximation and the method of similarity transformation, the constitutive equations are remodeled into coupled, nonlinear differential equations which are then solved for the exact solutions of fluid flow and heat transport under different physically acceptable parametric values. In particular, the physical domains of mass transfer and micropolar parameters in determining the existence, singleness and multipleness of exact solutions play a leading role. The examination of critical values for the mass transfer parameter exhibits the borderline for the existence and nonexistence of solutions. Unique solution is detected for the stretching sheet, whereas the shrinking sheet demonstrates twofold solutions. Exact fluid flow and heat transfer solutions under special parametric effects are also considered. The need to examine the prominent physical features of the flow system, closed form formulas for velocity, angular velocity, heat transfer, skin friction and reduced Nusselt number are derived, which are for analysis purpose presented graphically.