Flow and Heat Transfer Analysis of Magnetohydrodynamic Jeffrey Fluid Flow over a Nonlinear Porous Stretching Sheet under the Effect of Temperature-Dependent Viscosity

This examination studies the two-dimensional flow and heat transmission of a Jeffrey fluid over a nonlinear stretching sheet saturated in a permeable medium, accounting for the effects of viscosity variation and magnetic field. The prevailing nonlinear boundary layer equations are turned into an arrangement of ordinary differential equations by the practice of similarity adaptations and solved numerically via the bvp4c solver. The numerical process is indorsed against existing outcomes from the literature, establishing wonderful agreement and approving the precision of the present methodology. The effects of important factors, including the nonlinearity factor of stretching sheet eta, the Prandtl number Pr, the porosity parameter epsilon, the Jeffrey parameter delta, the magnetic field parameter M, and the viscosity variation parameter beta, on the velocity, temperature, skin friction coefficient, and rate of heat transfer are explored. The results indicate that increasing the nonlinearity factor of stretching sheet eta enriches both skin friction and heat transfer rate, whereas greater porosity parameter epsilon, the viscosity variation parameter beta, the Jeffrey parameter delta, and the magnetic field parameter M lead to their reduction. Moreover, an escalation in the Prandtl number Pr increases the heat transfer rate while it decreases the skin friction. This study is appropriate to processes such as polymer processing, cooling of electronic devices, and magnetohydrodynamic (MHD) flow control in industrial thermal structures, where non-Newtonian fluids and temperature-dependent viscosity play a major role.