A model of the undular bore on a viscous fluid
- 1 February 1966
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 24 (2) , 367-377
- https://doi.org/10.1017/s0022112066000703
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.Keywords
This publication has 4 references indexed in Scilit:
- Implications of Experiments on the Weak Undular BorePhysics of Fluids, 1965
- Non-linear dispersive wavesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1965
- The solitary wave on a stream with an arbitrary distribution of vorticityJournal of Fluid Mechanics, 1962
- ASYMPTOTIC EXPANSIONSPublished by Defense Technical Information Center (DTIC) ,1955