Symmetry scaling framework for heat and mass transfer in electromagnetic radiative MHD Powell-Eyring fluids numerically

Symmetry scaling framework for heat and mass transfer in electromagnetic radiative MHD Powell-Eyring fluids numerically

The convoluted dynamics of heat and mass transfer in magnetohydrodynamic Powell-Eyring MHD-PE fluids exposed to elec¬tromagnetic radiation cause notable logical challenges having non-Newtonian properties of these fluids. Magnetohydrodynamic Powell-Eyring fluids are very essential in computational fluid dynamics CFD having diverse rheologic features essential for spe¬cific simulations. This study examines the behavior of magnetohydrodynamic Powell-Eyring MHD-PE fluid model with effect of transferring heat and mass that produce approximate solutions of proposed model initially articulate by partial differential equations (PDEs), that are transformed into equivalent nonlinear ordinary differential equations (ODEs) by using similarity transformations. The solution dynamics for MHD-PE is generated numerically by using Adams’numerical solver and explicit Runge kutta technique for MHD-PE fluidic model . The performance is Evaluated and compared with different methods under similar conditions. These outcomes are analyzed along with the comparative study by varying Lewis number, Prandtl number, Eckert number, magnetic field parameter, radiation parameter, permeability parameter and fluid parameters. The efficiency and robustness, are portrayed through absolute error plots and solution plots for MHD-PE fluid model. Magnetohydrodynamic Powell-Eyring MHD-PE fluids enables researchers to grab complex fluid flow problems over various fields such as biomedical fluid dynamics, environmental fluid dynam¬ics, industrial process and material science allowing particular estimate to fluid flow patterns.