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The Contraction Coefficient of a Free-Surface Flow Under Gravity Entering a Region Beneath a Semi-Infinite Plane

Published online by Cambridge University Press:  28 May 2015

L. H. Wiryanto  and
H. B. Supriyanto
L. H. Wiryanto*
Affiliation:
Department of Mathematics, Bandung Institute of Technology, Jalan Ganesha 10 Bandung, Indonesia
H. B. Supriyanto
Affiliation:
Faculty of Art and Design, Bandung Institute of Technology, Jalan Ganesha 10 Bandung, Indonesia
*
Corresponding author. Email: [email protected]
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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 number F, and is generally less than the zero gravity value of 1/2 that is approached as F → ∞.

Keywords

65E0576B0776M15Borda's mouthpiecefree-surface flowboundary integral equationcontraction coefficient
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 2 , Issue 4 , November 2012 , pp. 342 - 352
Copyright
Copyright © Global-Science Press 2012

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