Newtonian fluid flow with heat and mass transfer across an inclined sheet and magnetic field with soret effects

Abstract

Heat and mass transfer in Newtonian fluid flows across inclined sheets, influenced by a magnetic field and Soret effects (thermal diffusion), is a complex phenomenon with several applications in engineering, geosciences, and industrial processes. This topic covers the foundations of fluid mechanics, thermodynamics, and electromagnetism. The aim of this work is to investigate the effects of the Soret factor on the Newtonian fluid flow across a contracting or extending inclined sheet. In order to solve the partial differential equations, this mathematical model transforms a set of partial differential equations into a set of ordinary differential equations, along with the necessary boundary conditions. The BVP4C approach then finds the problem's numerical and graphical solutions. The Soret effect raises the temperature profile while also boosting the concentration profile, based on the numerical and graphical data. The study's conclusion presents the physical interpretation of important parameters and accompanying numerical solutions. According to this study, as the Soret number grows, mass transfer rates increase, while drag force and heat transfer rates decrease. Slower skin friction results from the Soret number’s ability to lower the velocity gradient close to the surface by generating a concentration gradient. Because of temperature gradients, the Soret number encourages species separation in binary fluids, which lowers effective thermal diffusivity but raises the Sherwood number.