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A note on waveless subcritical flow past symmetric bottom topography

Published online by Cambridge University Press:  26 October 2016

R. J. HOLMES  and
G. C. HOCKING
R. J. HOLMES
Affiliation:
Mathematics and Statistics, Murdoch University, Perth, Western Australia, Australia email: rachel.holmes.22@gmail.com, G.Hocking@murdoch.edu.au
G. C. HOCKING
Affiliation:
Mathematics and Statistics, Murdoch University, Perth, Western Australia, Australia email: rachel.holmes.22@gmail.com, G.Hocking@murdoch.edu.au
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Abstract

This paper re-examines the problem of the flow of a fluid of finite depth over two Gaussian-shaped obstructions on the stream bed. A weakly nonlinear analysis in the form of the Korteweg–de Vries equation is used to compare with the results of the fully nonlinear problem. The main focus is to find waveless subcritical solutions, and contours showing the obstruction height and separation values that result in waveless solutions are found for different Froude numbers and different obstruction widths.

Keywords

Stream flowfree-surface flowwater wavespotential flow
Type
Papers
Information
European Journal of Applied Mathematics , Volume 28 , Issue 4 , August 2017 , pp. 562 - 575
Copyright
Copyright © Cambridge University Press 2016 

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