Unsteady MHD Flow of Dusty Couple Stress Fluid Through a Porous Channel with Heat Transfer

Abstract

The study investigates the unsteady magnetohydrodynamic (MHD) flow of dusty couple stress fluid through a porous channel with heat transfer effects. Furthermore the fluid flow characteristics and thermal properties depend heavily on both dust particle traces and couple-stress mechanics. The evaluations build upon steady incompressible flow assumptions which consider MHD effects and fluid movement through porous media. The developed mathematical model presents a description of fluid movement which contains both heat and mass processing effects. An analytical solution provides the derivation of temperature field patterns and fluid velocities and their corresponding pressure gradients. The research thoroughly investigates how key elements including magnetic field strength and porosity distribution and couple stress parameters affect the system. Numerical simulations reveal how heat transfer impacts velocity profiles since industrial applications like cooling systems and magnetic separation depend heavily on these velocity patterns. The measurement results confirm that magnetic field strengths together with couple stresses control the flow characteristics and their combined degrees determine enhancement or reduction patterns. The research generates vital knowledge about heat transfer enhancement and flow management within porous channels that gives rise to developmental impact across material processing and energy conversion and environmental engineering applications.