Numerical modeling of Carreau fluid due to variable thicked surface

Abstract

Present analysis deals with the study of two dimensional MHD flow of Carreau fluid over a variable stretching sheet. The governing system partial differential equation (PDE) is reduced into ordinary differential equation (ODE) by using similarity approach. The solution of the differential equation is calculated by using a moderate and well-known numerical technique namely Keller box method. Intricate parameters, namely Hartmann number, Weissenberg number, wall thickness parameter and power law index are utilized to control the motion of fluid. Skin friction coefficient is calculated in order to examine the flow behavior near the surface of the sheet. A comparison has been made with the previous published work in order to check the accuracy of the technique. Conclusion is drawn on the basis of entire study and it is found that velocity profile reduces for large values of Hartmann number, wall thickness parameter and stretching index. Keywords: MHD flow, Carreau fluid, Variable stretching sheet, Keller box method