Sequent Depth Ratio of a B-Jump
Publication: Journal of Hydraulic Engineering
Volume 137, Issue 6
Abstract
A B-jump is defined as the jump having the toe section located on a positively sloping upstream channel and the roller end on a downstream horizontal channel. This jump often occurs in the stilling basins with a horizontal bottom and located downstream of a steep channel. For a B-jump, a completely theoretical approach is not sufficient to solve the momentum equation and to establish the sequent depth ratio. In this paper, by using the laboratory measurements carried out in this investigation, some available empirical relationships useful for estimating the sequent depth ratio are tested. Then, by using the theorem of the dimensional analysis and the incomplete self-similarity theory, a generalized functional relationship for estimating the sequent depth ratio for different types of jumps is deduced. The estimate of the coefficient appearing in this relationship is dependent on the particular type of jump. In conclusion, the analysis established that the sequent depth ratio for a B-jump depends on a parameter accounting for the toe section position, the upstream Froude number , and the channel slope.
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Acknowledgments
The research was carried out with the financial support of the grant Ministero Istruzione, Università e Ricerca Scientifica—Governo Italiano ex 60%. All authors equally set up the research, analyzed the results, and contributed to writing the paper.
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© 2011 American Society of Civil Engineers.
History
Received: Dec 31, 2008
Accepted: Oct 14, 2010
Published online: May 16, 2011
Published in print: Jun 1, 2011
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