Unsteady Boundary Layer Flow of a Casson Fluid past a Permeable Stretching/Shrinking Sheet: Paired Solutions and Stability Analysis

Abstract

This paper discusses the numerical solutions of the unsteady Casson fluid flow over a permeable stretching/shrinking sheet. The suitable similarity transformations are implemented to transform the governing partial differential equations into ordinary differential equations, and those are then solved numerically by the MATLAB solver bvp4c function. The effects of the governing parameters on the velocity distributions and the reduced skin friction coefficients are given in the form of graph and examined thoroughly. The existence of paired solutions is identified, and the stability analysis revealed that the upper branch solution is stable while the lower branch solution is unstable.