Controlling thermal energy through radiation, heat source/sink and thermophoretic diffusion for stagnation point-Williamson rheological model having suction/injection, inclined magnetic field and porous medium

Abstract

Extensive research into next-generation thermal energy technologies has been prompted by the growing global demand for sustainable and high-performance energy systems. The thermophysical characteristics of the working fluid, particularly its capacity for heat transmission, have a major role in the efficiency of sensible heat storage systems. However, the efficiency of thermal transmission in conventional heat transfer fluids is sometimes limited. In the present work, we investigated the stagnation point flow of a Williamson fluid under the effects of the suction/injection, inclined magnetic field, and thermophoretic diffusion along a nonlinear stretchable surface in a porous space, and with the presence of thermal radiation, heat source/sink and chemical reaction influences. The governing partial differential equations (PDEs) of the Williamson fluid flow model are transformed into nonlinear ordinary differential equations (ODEs) via similarity transformations. We obtained the results numerically solving the non-linear ODEs which characterize the behavior of flow profiles and of the physical quantities against the governing parameters. The fluid velocity increases against the velocity ratio parameter while it declines for the angle of inclination and suction/injection parameter. Heat source/sink, thermal radiation, and angle of inclination parameters increase the temperature field. The concentration profile declines for the chemical reaction parameter and Schmidt number, while it increases for the thermophoretic parameter.