The effect of a difference in angle in two lateral inflow channels on the main channel's velocity

Abstract

In this study, we examined the flow from two lateral inflow channels in a man-made open rectangular channel of an incompressible Newtonian fluid. The influences of the angles as it varies directly proportional to each other for two lateral inflow channels from zero to ninety degrees on how they affect the flow rate in the main rectangular open channel, were considered. When the flow rate increases, the discharge increases as well and a decrease in the flow velocity means a decrease in the discharge, because the discharge is directly proportional to the flow velocity. The flow-regulating equations are the continuity and momentum equations of movements that are extremely nonlinear and cannot be solved by an exact method. The method of finite difference is then used to numerically compute an approximate solution to these partial differential equations. Due to its precision, consistency, stability and convergence, these equations are solved using the finite difference method. MATLAB software used to generate the results which are analyzed using graphs. The analysis found that inclined lateral inflow channels at 450 increase the main channel's flow velocity more than 600 and 720, while 900 maintains the main channel's flow velocity constant.