Casson Fluid Flow with Magnetic Field Effects over a Non-Linear Stretching Sheet

Abstract

Boundary layer flow of an MHD non-Newtonian Casson fluid and the transfer of heat and mass due to a non-linearly stretching sheet in the presence of heat source/sink and chemical reaction influences are considered. Appropriate similarity transformations are employed to convert the governing partial differential equations to a set of highly non-linear ordinary differential equations and solved numerically by using fourth order Runga Kutta method along with shooting technique. In the current work, the impacts of the governing non-dimensional parameters on the velocity, temperature and concentration profiles have been talked about and presented graphically. The profiles of temperature and concentration are found rising to a higher value when the Casson parameter raises but the opposite is true for velocity distribution. Also, the velocity profile decreases at a fixed point with an increase of the non-linear stretching parameter, but the temperature profile is enhanced when the non-linear stretching parameter rises. In addition, to check the validity of the method the coefficient of skin friction and temperature gradient has been compared with the previously published work and it is found in a good agreement.