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Study and Characterisitics of Different GVF Profile of Rectangular Channel
Abstract
This technical note presents the equation for one-dimensional gradually-varied steady flow profiles with constant discharge, in a rectangular-section prismatic channel of constant roughness and small longitudinal slope.
The flow profile differential equation was transformed by means of a polynomial approximation and then, by an algebraic procedure followed by the integration of the equation, the solution was obtained.
This solution was applied to a particular case which, through a comparative analysis, allowed to verify a satisfactory accuracy.
The solution obtained here, though rather complex from an algebraic point of view, is easily programmable; its major merit consists in its contribution to the mathematical knowledge of flow profiles.
The flow profile differential equation was transformed by means of a polynomial approximation and then, by an algebraic procedure followed by the integration of the equation, the solution was obtained.
This solution was applied to a particular case which, through a comparative analysis, allowed to verify a satisfactory accuracy.
The solution obtained here, though rather complex from an algebraic point of view, is easily programmable; its major merit consists in its contribution to the mathematical knowledge of flow profiles.
References
K. Subramanya. Open Channel Flow. 3rd Edn., New Delhi: McGraw-Hill (India); 2008.
Draulics McGraw-Hill Book co. New York; 1965.
F.M. Henderson. Open Channel Flow. Macmillan Publishing Co., 4th Edn., Report No. HEC-18 Federal Highway Administration USA, May 2001, 1966.
Gradually Varied flow-Nptel.
DOI: https://doi.org/10.37628/ijce.v3i1.170
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