Stability of Dual Solutions in Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Cylinder

Abstract

An investigation has been conducted to study the flow field of boundary layer and heat transfer passing shrinking cylinder using an exponent similarity variables. The shooting technique is used to solved the numerical computation but before that the governing equations in the form of partial differential equation will be transformed to nonlinear ordinary differential equations using suitable similarity variables. The skin friction coefficient, local Nusselt number and profiles are presented graphically. The effects of mass suction parameter and curvature parameter on flow and heat transfer behaviour are also presented. We notice the dual similarity solutions are available in certain range of the suction parameter which depend on curvature parameter. The stability analysis result is run by applying the bvp4c solver, in order to validate which solution is in stable flow and physically meaningful.