The Influence of Thermal Radiation on ‎Mixed Convection MHD Flow of a Casson ‎Nanofluid over an Exponentially Stretching ‎Sheet

Document Type: Research Paper

Authors

1 ‎Department of Mathematics, Government Degree College, Mancherial, 504208, India.‎

2 Department of Mathematics, Osmania University, Hyderabad, 500007, India.‎

3 Department of Mathematics, UCT, Osmania University, Hyderabad, 500007, India.‎

Abstract

   The present article describes the effects of thermal radiation and heat source/sink parameters on the mixed convective magnetohydrodynamic flow of a Casson nanofluid with zero normal flux of nanoparticles over an exponentially stretching sheet along with convective boundary condition. The governing nonlinear system of partial differential equations along with boundary conditions for this fluid flow converted to a system of nonlinear ordinary differential equations by using appropriate similarity transformations. The converted system of equations were solved numerically by using Runge-Kutta fourth order method with shooting technique. The influence of various non-dimensional governing parameters on velocity, temperature and nanoparticle volume fraction profiles have been discussed and presented graphically. Furthermore, the impacts of these parameters on skin friction coefficient and local Nusselt number are exhibited graphically and analized. It found that the velocity profiles and skin friction coefficient increases with an increase in the mixed convection parameter whereas, an opposite trend observed with Casson fluid parameter and magnetic field parameter. The thermal boundary layer thickness enhanced with an increase in Biot number, magnetic field parameter, radiation parameter and heat source/sink parameter. Also, the local Nusselt number decreases with an increase in radiation parameter and heat source/sink parameter.

Keywords