Exact Procedure for Einstein–Johnson’s Sidewall Correction in Open Channel Flow
Publication: Journal of Hydraulic Engineering
Volume 143, Issue 4
Abstract
The classic sidewall correction procedure, Vanoni and Brooks’ method, originates from Einstein–Johnson’s work. However, Johnson’s contribution is almost unseen in recent literature because his friction equation for the sidewall flow is difficult to solve. This note then revisits Einstein–Johnson’s sidewall correction procedure and solves Johnson’s friction equation explicitly and exactly. Besides, it extends Einstein–Johnson’s procedure to transitional-, and rough-sidewall turbulent flows. The presented exact procedure facilitates Einstein–Johnson’s sidewall correction for applications in flume experiments and sediment transport analysis in narrow canals, streams, and rivers.
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Acknowledgments
This research was supported by the open fund research programs at the State Key Lab of Hydraulics and Mountain River Engineering (Contract No. SKHL1511), Sichuan University, and at the State Key Lab for Hydraulic Engineering Simulation and Safety (Contract No. HESS-1604), Tianjin University, China.
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Published In
Journal of Hydraulic Engineering
Volume 143 • Issue 4 • April 2017
Copyright
©2016 American Society of Civil Engineers.
History
Received: Mar 2, 2016
Accepted: Aug 15, 2016
Published online: Oct 28, 2016
Discussion open until: Mar 28, 2017
Published in print: Apr 1, 2017
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