Investigation of Darcy-Forchheimer Magnetohydrodynamic Casson Fluid Flow over a Nonlinear Permeable Stretching Sheet with Temperature-Reliant Viscosity

This examination numerically inspects the influences of key factors on the flow and heat transmission of a Casson fluid over a nonlinearly stretching sheet in a permeable medium, considering inconstant viscosity and a magnetic field. The boundary-layer equations were cracked applying the Runge–Kutta technique, with results confirmed by MATLAB’s bvp5c solver and validated against published data. Results show that velocity rises with higher Prandtl number and the nonlinear factor of the stretching sheet but drops with higher porosity factor, Forchheimer number, Casson factor, magnetic field factor, and viscosity variation factor. Temperature declines with Prandtl number and the nonlinear factor of the stretching sheet but enlargements with other parameters. The nonlinear factor of the stretching sheet boosts skin friction and heat transmission, whereas higher porosity factor, Forchheimer number, viscosity variation factor, magnetic field factor, and Casson factor lessen them. The findings offer insight into the mutual effects of non-Newtonian performance, magnetic field, and permeable media on boundary layer flow and thermal transportation.