MATHEMATICAL MODELING OF FLOW OF WATER IN AN OPEN CHANNEL OF PARABOLIC CROSS-SECTION

Abstract

This study investigates open channel flows with a parabolic cross-section. The objectives of this study were to examine the effects of top width, channel slope, and energy coefficient on flow velocity. The methodology used to solve the objectives of the study was continuity and momentum equations. Because of its stability, convergence, and precision, the governing equations are solved by the finite-difference approximation approach. Using MATLAB software, the result is presented graphically. The findings are that; an increase in the channel slope and energy coefficient has been shown to lead to increased velocity of flow. While a decrease in top width leads to an increase in velocity. The findings of this study are useful in the flood control, construction of channels such as canals, and crop irrigation.