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New gravity-capillary waves at low speeds. Part 1. Linear geometries

Abstract:

When traditional linearized theory is used to study gravity-capillary waves produced by flow past an obstruction, the geometry of the object is assumed to be small in one or several of its dimensions. In order to preserve the nonlinear nature of the obstruction, asymptotic expansions in the low-Froude-number or low-Bond-number limits can be derived, but here, the solutions invariably predict a waveless surface at every order. This is because the waves are in fact, exponentially small, and thu...

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Publication status:
Published

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Publisher copy:
10.1017/jfm.2013.110

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
JOURNAL OF FLUID MECHANICS
Volume:
724
Pages:
367-391
Publication date:
2013-06-05
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
URN:
uuid:38486110-ff9c-4db0-9e9d-860403d1ff64
Source identifiers:
397111
Local pid:
pubs:397111

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