MHD Mixed Convection Flow of a Nanofluid over a Nonlinear Stretching Sheet with Variable Brownian and Thermophoretic Diffusion Coefficient
Chenna Sumalatha *
Research Scholar, Department of Mathematics, Osmania University, Hyderabad, India
Bandari Shanker
Department of Mathematics, Osmania University, Hyderabad, India
*Author to whom correspondence should be addressed.
Abstract
Investigation has been carried out to analyze the effects of variable wall temperature and concentration on Magnetohydrodynamic mixed convection flow of a nanofluid over a nonlinear stretching sheet with variable Brownian and thermophoretic diffusion coefficient. The governing differential equations were transformed into a set of non-linear coupled ordinary differential equations using similarity transformations. Results are shown graphically for the velocity profile, the temperature profile, and the concentration profile with different values of physical parameters like suction parameter, magnetic parameter, Grashof number, local modified Grashof number, thermal diffusivity, Prandtl number, Lewis number, the thermophoresis parameter and the Brownian motion parameter, the variable thermophoretic diffusion coefficient parameter and the variable Brownian motion diffusion coefficient parameter. A comparison with previously published work has been carried out and the results are found to be in good agreement. Finally, numerical values of pertinent physical quantities, such as the local Nusselt and local Sherwood numbers were presented graphically. It is found that Heat transfer rate decreases with the influence of Brownian motion and thermophoresis parameters and the local Sherwood number increases with the effect of both Brownian motion and thermophoresis parameters.
Keywords: Mixed convection, magnetohydrodynamic, Brownian motion, thermophoresis, nonlinear stretching parameter