The Contraction Coefficient of a Free-Surface Flow Under Gravity Entering a Region Beneath a Semi-Infinite Plane
2012 ◽
Vol 2
(4)
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pp. 342-352
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Abstract.Borda's mouthpiece consists of a long straight tube projecting into a large vessel, where fluid enters the tube in a free surface flow that tends to become uniform far downstream in the tube. A two-dimensional approximation to this flow under gravity in the upper part of the tube leads to an evaluation of the contraction coefficient, the ratio of the constant depth of the uniform flow to the width of the tube. The analysis also applies to flow under gravity past a sluice gate, if the semi-infinite wall above the channel is rotated to the vertical. The contraction coefficient depends upon the Froude numberF, and is generally less than the zero gravity value of 1/2 that is approached asF→ ∞.
2004 ◽
Vol 148
(3)
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pp. 807-808
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2002 ◽
Vol 125
(1)
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pp. 49-58
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1997 ◽
Vol 330
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pp. 339-347
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2020 ◽
Vol 1503
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pp. 012022
2006 ◽
Vol 33
(1)
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pp. 76-105
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2018 ◽
Vol 74
(4)
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pp. I_427-I_432
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