A novel semi-analytical method for solving infinite non-linear boundaryvalue problem in magnetohydrodynamic fluid flow

Abstract

The flow of Casson fluid flow with an expanding surface, the present flow model is being built to investigate the parameters of heat and mass transfer by diffusion and thermal radiation on magnetohydrodynamic (MHD) while taking the influence of the chemical reaction under account. The fundamental model equations have been transformed into nonlinear dimensionless ordinary differential equations that, with the help of appropriate transformations, reveal the fluid's flow via similarity analysis. The governing equations are solved using the Modified q-Homotopy analysis approach to yield the approximate analytical solution. In the meantime, the semi-analytical results and the numerical results show a strong agreement. This study also derives the semi-analytical expressions for dimensionless skin friction, non-dimensional Nusselt number and unit less Sherwood number. A comparison of the skin friction, Nusselt number and Sherwood number values in the current study with those in previous published work is performed as well in order to validate the findings. The current findings are in very good agreement with previous research. The temperature profile also rises as a result of an increase in thermal radiation. This study can be useful in a variety of industry sectors.