Hydrodynamic Characteristics of a Curved Fluid Layer with Two Porous Boundaries

Abstract

This work aims to investigate the characteristics of a suction-driven flow of a curved fluid layer using the Navier-Stokes equations. The examined fluid flow characteristics include the azimuthal velocity, the normal velocity, pressure gradients, and streamlines under different values of the Reynolds number. The results show that the problem provides symmetric solutions when the fluid keeps its primary direction of motion near the two porous boundaries of the thin fluid layer. The asymmetric solutions found highlight flow reversal near each porous boundary. The change of the direction of motion due to flow reversal manifests itself as a curvature of the streamlines, and in this case the normal pressure gradient presents an oscillatory behavior.