Forced Convection Flow and Heat Transfer of Micropolar Fluid Past a Moving Wedge with Second-Order Velocity Slip

In coating and fiber manufacturing, fluid flow along wedge-shaped molds critically affects the uniformity and thickness of the final product. Micropolar fluid models, which account for micro-rotational effects, provide a more accurate description of such complex fluids, especially those with high viscosity or suspended particles. Additionally, incorporating second-order velocity slip better captures realistic fluid-solid interactions at the boundary. This study investigates the forced convection boundary-layer flow and heat transfer of a micropolar fluid past a wedge moving either leftward or rightward in a stationary fluid, considering the effects of the micropolar parameter (K), suction/injection (S), and wedge motion direction. The governing equations are reduced via similarity transformations and solved numerically using Matlab's bvp4c. Dual solutions are observed only for leftward wedge motion, with stability analysis confirming that the first solution is stable and the second is unstable. Results show that increasing K enhances fluid mobility and affects skin friction and Nusselt number differently depending on wedge motion, while suction (S > 0) consistently promotes heat transfer. The novelty of this work lies in the integration of numerical and analytical solutions, along with a systematic analysis of micropolar flow under second-order slip conditions and its stability, providing valuable insights for precision control in coating applications.