COMPARATIVE ANALYSIS BETWEEN THE FLOW OF TANGENT HYPERBOLIC AND CASSON FLUIDS OVER A HORIZONTAL CYLINDER

Abstract

The problem of comparing the dynamics of non-Newtonian fluids that suits the characteristics of tangent hyperbolic and Casson fluid flow over a horizontal cylinder is an open problem in the literature. The governing partial differential equations are transformed into a nonlinear ordinary differential equations using suitable similarity variables. The resulting ordinary differential equations are reduced to system of first order ordinary differential equations. The system of ordinary differential equations are solved numerically using the Keller box method. The qualitative properties of the model are established through a rigorous proof. The effect of Casson, power law index, Hartmann, curvature, and Weissenberg parameters on the flow are shown graphically. The results in the present study indicate that viscosity is more significant for the tangent hyperbolic fluid compared to the Casson fluid at varying values of the Hartmann number. Finally, the results of the present study are in perfect agreement when compared with the previous work in the literature.