Modelling Fluid Flow in an Open Rectangular Channel with Lateral Inflow Channel

Abstract

In this paper, the flow of an incompressible Newtonian fluid through a man-made open rectangular channel with a lateral inflow channel is investigated. We have considered the effects of angle, the cross-sectional area, velocity and length of the lateral inflow channel on the velocity in the open rectangular channel. The equations governing the flow are the continuity and momentum equations of motion, which are highly nonlinear and cannot be solved analytically. Therefore, an approximate solution of these partial differential equations is determined numerically using the finite difference method.