Flow Of Non-Newtonian Couple Stress Fluids Passing

Abstract

This study examines the flow behavior of non-Newtonian couple stress fluids in various geometrical configurations. The couple stress fluid model is used to capture the microstructural effects that arise in complex fluids where particle size and rotation play a significant role. The analysis focuses on how couple stresses influence velocity distribution, shear stress, and pressure gradients during fluid motion. Governing nonlinear differential equations are derived and solved under appropriate boundary conditions using analytical and numerical techniques. The results highlight significant deviations from classical Newtonian flow behavior, particularly in micro-scale and confined geometries, demonstrating the importance of couple stress effects in accurately modeling such systems.