International Journal of Engineering Research in Electronics and Communication Engineering

A Mathematical Model of Fluid Flows in Open Rectangular and Triangular Channels

Author : Kavyashree B. A ¹ Dr. P. N. Chandramouli ²

Date of Publication :7th August 2016

Abstract: Flow in a closed conduit is regarded as open channel flow, if it has a free surface. This study considers the flows of an incompressible Newtonian fluid through open rectangular and triangular channels. The effects of channel slope, energy coefficient, channel top-width and roughness coefficient on velocity distribution in the open rectangular and triangular channels are investigated. The governing equations of the flows are continuity and momentum equations. The finite difference approximation method is used to solve the governing equations because of its accuracy, stability and convergence and the results are represented graphically. It is found out that the velocity of flow increases as depth increases and an increase in the channel slope, energy coefficient and top-width leads to an increase in flow velocity whereas increase in roughness coefficient leads to a decrease in flow velocity for both rectangular and triangular channels. This study goes a long way in controlling floods, construction of channels and in irrigation

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