Numerical modeling of unsteady MHD flow of Casson fluid in a vertical surface with chemical reaction and Hall current

Abstract

The non-Newtonian fluid flow plays an important role in industrial and manufacturing processes such as painting, printing, coating, and biomechanical. In the present paper, the steady two-dimensional MHD free convective flow of Casson fluid over a vertical surface is elucidated numerically with the impact of thermal radiation and chemical reaction are offered. The interaction of transverse magnetic field, viscous dissipation, and Hall current are taken into the account. A nonlinear flow system is developed to decompose the heat and mass transmission effects of this liquid, which is done by taking an appropriate extreme boundary condition. Non-dimensional nonlinear ordinary differential equations (ODEs) are diminished from governing partial differential equations (PDEs) via fitting transformations. The fundamental model of nonlinear constitutive flow laws is tackled numerically through the ND-solve technique in a Mathematica 11.0 environment. The computational upshot is also described explicitly to examine the consequences pertinent parameters. The attained sundry parameters are analyzed expediently, which include magnetic factor, radiation, chemical reaction, Prandtl number, heat source, modified Grashof number, and Schmidt number. The features of the governing relevant parameters on the flow frameworks are analyzed correctly via plots and tables. Additionally, the drag force, heat, and mass transference coefficients outlines are examined.