A Numerical Approach of forced convective MHD Casson hybrid nano fluid flows exposed to Joule heating and viscous dissipation over diverging channel

Abstract

The present study deals with boundary layer flows of buoyancy driven magnetohydrodynamic, chemical radiative and temperature sensitive Casson hybrid nano fluid over diverging channel. Copper (Cu) and aluminium oxide $(Al_2O_3)$ nano particles are suspended upon ethylene glycol based non-newtonian Casson fluid. The proposed model is applicable in power transmission system, design of nuclear reactors where moving plate is used as a control rod and design of compression moulding process. The boundary layer governing equations undergo non-similar transformations followed by Quasilinearization technique and Implicit finite difference scheme. Varga's algorithm is applied on the obtained block tri-diagonal system of equations. This study mainly deals with varying values of Reynold's number, Eckert number, Casson parameter and Richardson's number on velocity,temperature, drag coefficient and nusselt number profiles. Also surface plots are plotted with varied values of Casson parameter and magnetic parameter on skin friction coefficient and nusselt number. The results reveal that for enhanced values of Casson parameter $\beta$, the velocity profile is augmented and the temperature profile is declined. It is observed that the temperature profile is enhanced at the centre of the channel for enhanced values of viscous dissipation parameter Ec.