A novel semi-analytical method for solving magneto hydrodynamic problem in physical science

Abstract

The non-Newtonian adaptive coating flow through the boundary layer of an extending substrate next to a porous medium in thermo-solutal magnetohydrodynamic (MHD) is mathematically assessed. The Modified Homotopy analysis approach is adopted to resolve the controlling non-dimensional forms of the equation. Further, the velocity, temperature, and concentration equations have explicit semi-analytical computations. Meanwhile, there is a significant agreement between the semi-analytical findings and the numerical results. Graphical illustrations for the consequences of various factors that led to the difficulty are displayed. Furthermore, physical factors are computed and laid out, including the Sherwood number, Nusselt number, and skin friction factor.