Effect of Magnetohydrodynamics on Heat Transfer Behaviour of a Non-Newtonian Fluid Flow over a Stretching Sheet under Local Thermal Non-Equilibrium Condition

A mathematical model is proposed to describe the flow, heat, and mass transfer behaviour of a non-Newtonian (Jeffrey Oldroyd-B) fluid over stretching sheet. Moreover, similarity solution given for steady two-dimensional flow subjected Buongiorno’s theory investigate nature magnetohydrodynamics (MHD) in porous medium, utilizing local thermal non-equilibrium conditions (LTNE). The LTNE based on energy equations defines distinctive temperature profiles both solid phases. Hence, phases are employed this study. Numerical nonlinear ordinary differential obtained by employing fourth fifth order Runge–Kutta–Fehlberg numerical methodology with shooting technique. Results reveal that, velocity Oldroyd-B declines faster high heat seen lower values magnetic parameter when compared Jeffry fluid. However, higher Jeffery shows liquid phase than increasing Brownian motion thermophoresis parameters. decline rate liquids.