Effect of the Aligned Magnetic Field over a Stretching Sheet through Porous Media in Casson Fluid Flow

Abstract

Researchers in the thermo-fluidic field have dedicated considerable effort to exploring methods for improving heat transfer in diverse thermal systems. Among these methods, incorporating porous mediums into thermal systems stands out as particularly effective. The movement of substances through these porous materials, which encompass both fluid and solid components, can be described by either assuming that both phases are at the same temperature or that they are at different temperatures. The significance of heat and mass flux arises from their association with chemical potential and temperature gradient respectively. These connections hold value within a wide array of fields, including electrical power generation, solar power technology, chemical engineering, petrology and many more. In the present study, aligned magnetic effects have been investigated on local thermal non-equilibrium (LTNE) circumstances on steady, incompressible, laminar flow of a non-Newtonian Casson fluid across a stretching sheet in a porous medium. The LTNE conditions are implemented to generate two distinct temperature profiles for both fluid and solid phases. By choosing appropriate similarity transformations, the governing partial differential equations are transformed into ordinary differential equations for the flow parameters and are solved using numerical method Runge-Kutta-4 with shooting technique. The flow attributes are thoroughly inspected graphically in response to the influence of the developing factors. As aligned magnetic parameter and porosity parameter values increase, heat transmission improves, but velocity decreases. In the flow zone, as values of angle increases, magnetic field intensity increased. The heat flux in both fluid and solid phases decreases as the Dufour number rises. As the Soret number rises, the mass transfer rate falls.