Effect of inertia on viscous fluid in a wall-driven corner flow with leakage

A study of the inertial flow of a viscous fluid near the corner of two intersecting walls with leakage is presented. The flow is primarily generated when one of the walls is moved parallel to itself, but a mass source or sink due to leakage at the apex of the corner can also effect it. The non-linear partial differential equations that arise due to inertial forces are solved analytically, and an approximate solution is obtained by applying a recursive approach. Furthermore, the expressions for stream functions, velocity fields, pressure fields, and the tangential and normal stresses upto second approximation have been obtained. Finally, the effect of inertial forces on the stresses, velocity components and streamlines is discussed with the help of graphs.