Analytical Solutions to MHD Flow Model Across an Inclined Channel With Induced Magnetic Field and Radiation Absorption Effect

Abstract

This study emphasizes the significance of radiation absorption effects on magnetohydrodynamics flow of chemically reacting Newtonian fluid across an inclined channel. The induced magnetic field component is taken into consideration in the flow equations. The system of differential equations of this flow model under observation is transformed into non-dimensional form to get its solutions. The significance of the fluid model, viz. velocity distribution, temperature distribution, and concentration distribution is examined graphically under the factors: induced magnetic field, chemical reaction, and radiation absorption. Further, the other important attributes of the flow system: Skin friction, Nusselt number, and Sherwood number are calculated and their implications are discussed. The key findings include the suppression of velocity with increased Hartmann number, chemical reaction parameter, and inclination angle, while the induced magnetic field and induced current density show distinct patterns due to different governing parameters. Radiation, chemical reaction, and mass diffusivity affect temperature and species concentration profiles.