A study of mixed convection magnetohydrodynamics Williamson nanofluid flow over a nonlinear permeable elongating sheet over a porous medium with viscous dissipation

Convection, that is, mixed magnetohydrodynamics stream of Williamson nanofluid in excess of a nonlinearly stretchable permeable sheet, has been studied using a mathematical model that includes thermal radiation, viscous dissipation, heat source/sink, chemical reaction, and suction are all examples of thermal radiation are all examples of how heat is dissipated. By availing the controlling similarity transformations, suitable similarity transformations partial differential equations are reduced into the solution of a set of ordinary differential equations that are nonlinear using the homotopy analysis method. There is also a clear approach to get series solutions to converge. There was a strong correlation between the current and past outcomes. Graphs and tables are used to illustrate the nature of the flow field beneath various conditions.