Mathematical Modelling of Fluid Flow in Open Circular Channels in Sewerage Systems 

Abstract

Amidst the nationwide flooding triggered by the rainy season compounded by El Niño, this study endeavors to devise a sophisticated mathematical model geared towards enhancing the efficiency of open circular channels. Focusing on key parameters like depth, velocity, and pressure within the context of incompressible, Newtonian, and steady flow dynamics, we aim to meticulously analyze their interplay. By delving into the impact of depth on flow characteristics, the influence of pressure on velocity, and the modulation of Reynolds and Froude numbers on velocity, our investigation unveils crucial insights. Leveraging MATLAB, we meticulously derive numerical solutions and visually represent our findings through insightful graphs. Given the inherent non-linearity of the governing equations; the continuity and momentum equations of motion. We used the finite difference method for the resolution. This robust model holds promise for diverse applications spanning water supply, treatment facilities, and irrigation networks, offering a comprehensive tool for optimizing operational efficiency.