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A model of the undular bore on a viscous fluid

Published online by Cambridge University Press:  28 March 2006

W. Chester
W. Chester
Affiliation:
Department of Mathematics, University of Bristol
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Abstract

A solution for the weak bore is found in which the mean profile is dominated by viscosity, so that the velocity variation is given essentially by a quasi-uniform Poiseuille flow. It is found that such a transition between flows of different depths is possible provided the Froude number is less than 1·58. The possibility of superposing an inviscid perturbation on such a flow is then investigated. Under favourable circumstances the effect of this perturbation is to add to the profile of the free surface a term which decays exponentially in front of the bore, but is oscillatory behind it.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 2 , February 1966 , pp. 367 - 377
Copyright
© 1966 Cambridge University Press

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References

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