Modelling and Simulations of a Couple Stress Fluid Flow and Heat Transfer in Inclined Geometry

The study of couple stress fluid flow and heat transfer in inclined geometries is crucial in understanding various engineering applications, such as heat exchangers, lubrication systems, and biomedical devices. The interplay of fluid flow, heat transfer, and geometry creates complex, challenging problems that make accurate prediction of these phenomena difficult, requiring advanced techniques and models. This study aims to address these challenges by developing a comprehensive numerical model for simulating couple stress fluid flow and heat transfer in inclined geometry. From the momentum, continuity, and energy equations, we have derived strongly nonlinear ordinary differential equations. The Homotopy Perturbation Method (HPM) is applied to solve the governing coupled nonlinear differential equations with appropriate boundary conditions. The solutions yield expressions for the velocity profile, temperature distribution, vorticity, volume flow rate, shear stress, and average velocity. Numerical and graphical comparisons of the effects of various parameters on temperature and velocity show good agreement with exact solutions.