Multiple Solutions of Slip Flow and Heat Transfer over an Exponential Shrinking Sheet with Stability Analysis

Abstract: The steady viscous flow with heat transfer over a permeable exponential shrinking sheet with partial slip at the boundary is studied. Similarity equations are obtained using similarity transformation in exponential form, which are then solved numerically using MATLAB routine boundary value problem solver based on finite difference method. Numerical results show that dual solutions exist for a certain range of mass suction. A stability analysis has been performed to show that first solution branch is stable while the other is always unstable.