MHD stagnation point flow of Carreau fluid toward a permeable shrinking sheet: Dual solutions

Abstract

Present analysis is carried out to study the two-dimensional stagnation-point flow of an in-compressible Carreau fluid toward a shrinking surface. The formulation of the Carreau fluid model has been developed first time for boundary layer problem of shrinking sheet and the governing partial differential equations are rehabilitated into ordinary differential equations using similarity transformations. The simplified nonlinear boundary value problem is solved by Runge-Kutta method after converting into the system of initial value problem using shooting method. Dual solutions are obtained graphically and results are shown for various parameters involved in the flow equations. Numerical values of skin friction coefficients are also computed.

Keywords

• Stagnation flow
• Shrinking sheet
• Carreau fluid
• MHD
• Dual solutions
• Shooting method