Effects of Viscous Dissipation and Double Stratification on MHD Casson Fluid Flow over a Surface with Variable Thickness: Boundary Layer Analysis

Abstract

In this article, the motion of two-dimensional Casson fluid flows with temperature dependent plastic dynamic viscosity together with double (i.e. thermal and solutal) stratification in the presence of Lorentz force is investigated. The case where the viscosity of the fluid tends to take energy away from the motion (kinetic energy) and transform it into internal energy is considered. The nonlinear governing equations and their associated boundary conditions are transformed and non-dimensionalized using similarity variables which are thereafter solved numerically using the shooting method together with the Runge-Kutta technique. The effects of the magnetic field parameter, temperature dependent viscosity parameter, Casson parameter, Eckert number, velocity power index, pressure gradient parameter and wall thickness parameter on the velocity, temperature, and concentration profiles are showed graphically and discussed. Substantial increase in temperature distribution is certain with an increase in the magnitude of Eckert number. Local skin friction coefficient decreases with an increase in pressure gradient parameter.