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Title: Mathematical modeling and simulation of flow velocity profile for rectangular open channels
Authors: Gandhi, Bhupendra K.
Verma H.K.
Abraham B.
Published in: ISH Journal of Hydraulic Engineering
Abstract: Abstract: The accuracy of discharge measurement in open channels using propeller current meters can be improved considerably by optimizing the number and locations of the current meters to be deployed for this purpose. The optimization is possible if the nature of the flow profile in the channel can be assessed. This paper reports development of a mathematical model of the flow velocity profile of rectangular open channels. One-dimensional velocity profile equation is taken as a sum of logarithmic and parabolic terms and used to determine the unit-width discharge profile across the width of the channel. The unit-width discharge equation comprises two logarithmic terms along with a beta function. The two equations together involve 10 mathematical parameters, which are linked to the physical conditions, geometry, and configuration of the channel. MATLAB code has been developed to account for these parameters and obtain the velocity profile of flow in any rectangular open channel. Flow under similar conditions is simulated using computational fluid dynamics (CFD) and the results for six different cases are used for validating the mathematical model. The CFD based simulation, in turn, is validated by carrying out actual measurements in a rectangular open channel using an acoustic Doppler current profiler. © 2016 Indian Society for Hydraulics.
Citation: ISH Journal of Hydraulic Engineering (2016), 22(2): 193-203
Issue Date: 2016
Publisher: Taylor and Francis Ltd.
Keywords: acoustic Doppler current profiler
computational fluid dynamics
mathematical model
One-dimensional velocity profile
open channel
ISSN: 9715010
Author Scopus IDs: 7006087147
Author Affiliations: Gandhi, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, India
Verma, H.K., Department of Electrical and Electronics Engineering, Sharda University, Greater Noida, India
Abraham, B., IBM India Pvt. Limited, Bangalore, India
Corresponding Author: Gandhi, B.K.; Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeIndia; email:
Appears in Collections:Journal Publications [ME]

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