Chemical reaction and viscous dissipation effects on MHD flow of Powell-Eyring nanomaterial fluid over a nonlinear stretching sheet in a porous medium

The main aim this study is to investigate the flow characteristics of a Powell-Eyring nanomaterial fluid over a nonlinear stretching sheet within porous media, under the influence of magneto hydrodynamics (MHD). This investigation is noteworthy for considering both viscous dissipation and chemical reaction effects. The stretching sheet induces the flow of the Powell-Eyring fluid. The study focuses on the temperature distribution, which is significantly influenced by the energy dissipation due to the fluid's viscosity. This process is examined under the condition of zero mass flux. For this partial differential equations related to the consideration are converted into nonlinear ordinary differential equations (ODEs) using similarity transformations. This transformation is crucial for simplifying and enabling numerical simulations. The resulting ODEs are then solved numerically using the Runge-Kutta-Fehlberg method, a powerful technique known for its accuracy and efficiency in solving such equations. The study presents graphs and tables depicting various parameters and validates results against existing literature. Furthermore, Skin friction and heat transfer rate data provide further insights. Some of the observations are chemical reactions and viscous dissipation significantly influences the heat transfer characteristics of the MHD flow of Eyring-Powell nanomaterial fluids. The rate of heat transfer decreases as the Prandtl number and Eyring-Powell fluid material parameters increase. If the porosity parameter rises the temperature grows as well as the velocity of fluid declines. Furthermore, the study establishes a robust correlation between its current findings and prior research efforts in similar domains.