Slit flow and thermal analysis of micropolar fluids in a symmetric channel with dynamic and permeable

Abstract

The mass and thermal flow of micropolar fluid in a channel having permeable and moving walls perpendicular to the flow-direction is considered here. A mathematical formulation for this physical problem is made using the Eringen's micropolar fluid-thermal model. Closed form solutions for temperature, microspin of aciculate particle and velocity are derived using the double perturbation method followed by the similarity transformation for the Newtonian/micropolar fluids. The perturbation parameters are the Reynolds number (that controls the wall-injection/suction) and the wall dilation parameter (that controls the rate of flow through the pores). Usually the no-spin conditions are imposed on studying the micropolar fluid-flows, but we consider no-spin condition in this attempt in order to highlight effect of micropolar spin boundary layer in the vicinity of the walls of the channel. The convergence of the perturbation method is checked, that sounds well. The results obtained for particular case (Newtonian fluid) are compared with alike literature and they are found satisfactory. The results for velocity, temperature, shear stress, thermal transfer rate and spin are presented for different values of physical parameters quantitatively and qualitatively.