Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet

Abstract

The importance of boundary layer flow of micropolar fluid and heat transfer over an exponentially permeable shrinking sheet is analysed. The similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using very efficient shooting method. Similar to that of Newtonian fluid flow case, here also dual similarity solutions for velocity, microrotation and temperature are obtained when certain amount of mass suction is applied through the porous sheet. For steady flow of micropolar fluid over exponentially shrinking porous sheet the mass suction need to be stronger compared to the Newtonian fluid flow. From dual velocity, microrotation, and temperature profiles it is found that the velocity decreases with material parameter (related to micropolar fluid) for first solution and it increases for second, whereas the effects are opposite for fluid temperature. On the other hand, for larger material parameter microrotation profile reduces for both types of solutions. But it significant that the skin friction coefficient, the couple stress coefficient and the heat transfer coefficient show similar variation with increasing material parameter, all those physical quantities decrease for first solution and increase for second solution.