Effect of Brownian motion on MHD stagnation-point flow of Casson nanofluid due to a stretching sheet with zero normal flux

Abstract

This paper numerically studied heat and mass transfer flow of Casson nanofluid near to the stagnation point due to the stretching sheet with the effects of viscous dissipation, space-dependent, and temperature-dependent heat source/sink. By using similarity transformations, the governing equations of the flow problem are converted into non-linear ordinary differential equations. The resulting obtained ODE'S are solved numerically by the Keller Box method. Analyzed the influence of various physical parameters on the velocity, temperature and concentration distributions shown graphically. Present results are compared with previously published work and results are found to be a very good agreement. The velocity profile decreases with an increase in the Casson parameter and magnetic parameter. Temperature profile increases with an increase in the Casson parameter, thermophoresis parameter, Brownian motion parameter, Eckert number, space dependent internal heat source/sink, and temperature-dependent internal heat source/ sink parameters increase, while a decrease in Prandtl number. Concentration profile increases with increase Casson parameter and thermophoresis parameter.