Numerical scheme to simulate combined mixing and separating Newtonian fluid flow in a channel

The paper presents a semi-implicit time-stepping Taylor-Galerkin pressure correction primitive variable finite element algorithm to simulate fluid flow for two dimensional planar combined mixing and separating geometry. Two cases; one with reversed channel flows interacting through a gap in the common separating walls filled with Newtonian fluids in both arms of the channels and other with unidirectional flows were modeled in order to examine the performance of the scheme. Steady solutions were obtained using unsteady finite element scheme. The influence of increasing inertia on variation in flow directions and varying flow rate configurations in both channel arms are studied in detail. The scheme is found to be fast, robust and stable for varying Reynolds number