MHD Flow Darcy Forchheimeter of Jeffrey Nanofluid over a Stretching Sheet Considering Melting Heat Transfer and Viscous Dissipation heat transfe

This work investigates the MHD flow of a Jeffery nanofluid through a non-linear stretching sheet, considering melting heat transfer and the combined influences of concentration and thermal radiation. A variable magnetic effect normal to the flow direction is enforced to reinforce the conductivity of the Jeffery nanofluid. The governing non-linear PDEs with convective boundary conditions are transformed into the non-dimensional ODEs, and we apply appropriate similarity variables. The further similarity transformation is determined with the 4th-order Runge-Kutta shooting technique facilitated. The approach is implemented for convergent relations of the rate field, temperature, and nano-particle concentration. However, small magnetic Reynolds is considered to decline the induced magnetic impact. Melting parameter enhances temperature and concentration. Finally, the effect of fluid parameters such as thermophoresis, melting parameter, Deborah number, chemical reaction, Brownian motion, inertia parameter, Darcy number, and thermophoresis on the MHD flow profiles is examined graphically.