Numerical analysis of Williamson fluid flow over an exponentially stretching sheet with radiation

This research analyses heat and mass transfer phenomena in Williamson non-Newtonian fluid over a porous stretching surface with suction and internal heat source effects. Dominant factors encompass mixed convection, nonlinear radiative heat flux, magnetic Lorentz drag from a tilted field, reactive species interactions, and buoyancy forces, alongside variable viscosity, viscous dissipation, and surface velocity slip. Momentum, thermal energy, and mass diffusion equations are formulated and transformed via similarity variables into a set of nonlinear ODEs. Numerical solutions are obtained using the bvp4c function in MATLAB®. Distributions of speed, thermal, and species solute are illustrated graphically to reveal parameter impacts. Key amounts of engineering interest skin friction coefficient. Heat and mass transfer rates are computed and tabulated. Model validation confirms close alignment with published benchmarks. Notably, MHD, radiation, and buoyancy synergistically enhance thermal and solute transport rates.