Hydraulic Jumps in an Inclined Rectangular Chute Contraction
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 11
Abstract
Hydraulic jumps in an inclined rectangular chute contraction were studied in this paper. Theoretical equations for the sequent-area and sequent-depth ratios for hydraulic jumps in the contraction were developed considering the effects of contracting width and sloping bottom. The equation of the sequent-area ratio (instead of the sequent-depth ratio) has the same form as the traditional Belanger equation for the sequent-depth ratio for hydraulic jumps in a horizontal rectangular constant-width channel (HRCW channel). A modified approach Froude number , including the effects of contracting width and sloping bottom, was introduced to replace the approach Froude number in analyzing hydraulic jumps in the contraction. Laboratory experiments of hydraulic jumps in inclined contractions were also conducted to verify the theoretical sequent-area ratio and also to develop the empirical equations of the location of the start of the jump, flow depth of the start of the jump, length of the jump, and energy loss of the jump. The calculation procedure for the application of the presented equations is also provided in this paper.
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Acknowledgments
The writers appreciate the supports from the National Science Council (Grant No. UNSPECIFIEDNSC 97-2625-M-006-015) and the Water Resources Agency in Taiwan. The writers are grateful to the reviewers’ constructive comments, which improved this paper.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 11 • November 2009
Pages: 949 - 958
Copyright
© 2009 ASCE.
History
Received: Jun 14, 2007
Accepted: May 21, 2009
Published online: May 22, 2009
Published in print: Nov 2009
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