Analytical treatment of MHD flow and chemically reactive Casson fluid with Joule heating and variable viscosity effect

This manuscript studies the impact of heat transfer in the context of their valuable applications. There has been a lot of interest in using non-Newtonian fluids in biological and engineering disciplines. With such a considerable interest in non-Newtonian fluids, we aim to examine the MHD flow of chemically reactive Casson liquid by a permeable stretching surface by considering the heat source and viscous dissipation effects. The impression of current conductivity as a linear function of the temperature field is subjected to temperature-dependent viscosity fluctuation. A mathematical model simulates the arisen nonlinear partial differential equations (PDEs). By using the suitable transformations, the system of PDEs is then transformed to a nonlinear system of ordinary differential equations (ODEs). The impacts of the pertinent parameters on the velocity profile, energy, and concentration distribution have been discussed. The fundamental dimensionless partial differential flow laws are analyzed using an efficient and validated analytical homotopic (HAM) technique. The ongoing investigation has been converged, according to a stability and convergence analysis. The impression of innumerable dominant physical parameters on the momentum boundary layer, thermal boundary layer, and concentration profile has been made realistically by plotted graphics.