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Implications of experiments on the weak undular bore

Sturtevant, B. (1965) Implications of experiments on the weak undular bore. Physics of Fluids, 8 (6). pp. 1052-1055. ISSN 0031-9171. doi:10.1063/1.1761354.

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The behavior of the nonlinear dispersive waves observed behind weak undular bores is studied using available experimental information. Calculations on cnoidal wave theory using the measured wavelengths and amplitudes lead to the unexpected result that in bore-fixed coordinates the energy and momentum of the flow under the waves are larger than in the upstream flow. This can only be due to the action in the experiments of the unsteady boundary layer on the channel bottom, for this boundary layer has a negative momentum thickness. Therefore, the dissipation near the front that is known to be a necessary condition for the existence of the steady periodic waves is shown to occur on the bottom of the channel.

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Additional Information:© 1965 American Institute of Physics. Received 10 December 1964; revised 15 March 1965. Helpful discussions with Prof. G.B. Whitham are gratefully acknowledged. This work was supported by NASA Grant NsG 40-60.
Issue or Number:6
Record Number:CaltechAUTHORS:STUpof65
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10490
Deposited By: Tony Diaz
Deposited On:12 May 2008
Last Modified:08 Nov 2021 21:08

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