Linear and Non-linear Stretching Surfaces of MHD Casson Nanofluid with Heat and Mass Transfer Analysis

The chapter discusses the magnetohydrodynamic heat and mass transfer flow of a Casson nanofluid over linear and non-linear stretching surfaces embedded in a porous medium. The study takes into account the effects of Brownian motion, thermophoresis, thermal radiation, and chemical reaction. Proper transformations are employed to convert the non-linear partial differential systems into ordinary differential equations. The Runge–Kutta method, in combination with the shooting technique, is utilized for finding the numerical solutions to the momentum, temperature, and concentration equations, the subject to the boundary conditions. The impact of different relevant parameters on the velocity, temperature, and concentration profiles of the fluid is analyzed and the findings are presented in graphical form through plots. The study highlights the intricate dynamics of nanofluids, where the Casson, magnetic, buoyancy ratio, and mixed convection parameters collectively influence behavior. Notably, contrasting effects emerge in the realm of mixed convection, adding depth to our understanding of these influential parameters. It is noted that as the Brownian motion parameter increases, the velocity and temperature profiles of the fluid increase, whereas the opposite behavior is observed in the concentration profile. Moreover, a detailed investigation is conducted on the skin-friction coefficient, the Nusselt number and the Sherwood number and the results are presented in tabular format.