Effects of cross diffusion and heat generation on mixed convective MHD flow of Casson fluid through porous medium with non-linear thermal radiation

Abstract

In the present work, two-dimensional mixed convection Casson fluid flow past an infinite plate in a porous medium is performed under the effects of a uniform magnetic field. Characteristics of heat transfer and mass transfer are analyzed with non-linear thermal radiation, cross-diffusion, chemical reaction, heat generation and, heat absorption. The governing partial differential equations are remodeled into ordinary differential equations using similarity transformation. The homotopy analysis method is implemented to solve the governing dimensionless system of ordinary differential equations. The behavior of different physical parameters is shown graphically. The numerical values of Skin friction, Nusselt number, and Sherwood number are presented in a tabular form. Obtained outcomes are compared with earlier studies in the special case and strong agreement is noted. From graphical representation, it is concluded that velocity and temperature distribution increases with the mixed convection parameter and buoyancy force parameter. An increasing value of Casson fluid parameter, magnetic field parameter, chemical reaction parameter, and diffusion-thermo parameter tends to reduced velocity and temperature profiles. In most of the engineering and real-world problems, skin friction is not desirable, so it can be decreased by decreasing the values of magnetic field parameter, non-linear thermal radiation parameter, heat generation parameter, and temperature ratio parameter.