Stagnation Point Flow of a Micropolar Fluid over a Stretching/Shrinking Sheet with Second-Order Velocity Slip

Abstract

The steady stagnation point flow of a micropolar fluid over a stretching/shrinking sheet with second-order velocity slip is studied. Similarity equations are obtained using similarity transformation, which are then solved numerically using MATLAB routine boundary value problem solver (bvp4c) based on the finite-difference method. Numerical results show that dual solutions exist for a certain range of the shrinking parameter. The dual solutions for velocity and microrotation distribution with first-order, second-order velocity slip parameter and micropolar parameter are shown graphically. It is observed that the range of the stretching/shrinking parameter for which the solution exists increases with the increase of the first-order slip parameter and micropolar parameter, whereas it decreases with the increase of the second-order slip parameter. The linear stability analysis of the obtained results was performed to show that the first solution branch is linearly stable, whereas the other is always unstable.