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On steady non-breaking downstream waves and the wave resistance

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dc.contributor.author Maklakov D.
dc.contributor.author Petrov A.
dc.date.accessioned 2018-09-18T20:05:03Z
dc.date.available 2018-09-18T20:05:03Z
dc.date.issued 2015
dc.identifier.issn 0022-1120
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/136345
dc.description.abstract © 2015 Cambridge University Press. In this work we have obtained exact analytical formulae expressing the wave resistance of a two-dimensional body by the parameters of the downstream non-breaking waves. The body moves horizontally at a constant speed c in a channel of finite depth h. We have analysed the relationships between the parameters of the upstream flow and the downstream waves. Making use of some results by Keady & Norbury (J. Fluid Mech., vol. 70, 1975, pp. 663-671) and Benjamin (J. Fluid Mech., vol. 295, 1995, pp. 337-356), we have rigorously proved that realistic steady free-surface flows with a positive wave resistance exist only if the upstream flow is subcritical, i.e. the Froude number Fr = c/√gh < 1. For all solutions with downstream waves obtained by a perturbation of a supercritical upstream uniform flow the wave resistance is negative. Applying a numerical technique, we have calculated accurate values of the wave resistance depending on the wavelength, amplitude and mean depth.
dc.relation.ispartofseries Journal of Fluid Mechanics
dc.subject channel flow
dc.subject surface gravity waves
dc.subject waves/free-surface flows
dc.title On steady non-breaking downstream waves and the wave resistance
dc.type Article
dc.relation.ispartofseries-volume 776
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 290
dc.source.id SCOPUS00221120-2015-776-SID84937047180


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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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