Heat and Mass transfer in unsteady oscillatory flow of a Second-Grade fluid through an irregular channel with slip conditions and inclined magnetic field

Abstract

Identifying the enormous contributions of heat and mass transfer in the dynamics of biological fluids with magnetohydrodynamics (MHD) effect is significant to both engineering and industrial applications. More importantly, the behaviour of non-Newtonian second-grade fluid, the presence of oscillatory flow, inclined magnetic fields, and slip conditions in an irregular channel introduces complexities that require further investigation. This study examines the mass and heat transfer dynamics of oscillatory inclined magnetic effect for flow of second-grade fluid in a wavy channel while considering the effects of slip conditions. The controlling system equations were resolved into a dimensionless form with appropriate transformation variables. Analytical solutions for concentration, energy and velocity profiles are obtained. Graphical representation illustrates the physical effects of the involved parameters on flow distributions and engineering characteristics of interest. The findings identified that introduction of heat source increases the momentum field, while an increase in the chemical reaction leads to a decrease in velocity. Additionally, the heat transfer rate at both walls increases as the heat source rises. Evidently, these insights contribute to the understanding of MHD flows in irregular geometries, with potential applications in cooling technologies, industrial fluid transport, and energy systems.