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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 1, Pages 39–52 (Mi pmtf2456)  
This article is cited in 6 scientific papers (total in 6 papers)

Small-time expansion of wave motion generated by a submerged sphere

E. V. Pyatkina

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (336 kB) Citations (6)
Abstract: A nonlinear problem of motion of a solid sphere near a free surface of an infinitely deep fluid is considered. For the case of motion with a constant acceleration starting from rest, the solution is studied using a small-time expansion. Expansion coefficients up to the fourth power inclusive are found for the free surface elevation and for the force acting on the sphere. The solutions for linear and nonlinear conditions on the free surface are compared.
Keywords: surface waves, submerged sphere, integral boundary equation.
Received: 20.08.2002
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 1, Pages 32–43
DOI: https://doi.org/10.1023/A:1021721528143
Bibliographic databases:
Document Type: Article
UDC: 535.59
Language: Russian
Citation: E. V. Pyatkina, “Small-time expansion of wave motion generated by a submerged sphere”, Prikl. Mekh. Tekh. Fiz., 44:1 (2003), 39–52; J. Appl. Mech. Tech. Phys., 44:1 (2003), 32–43
Citation in format AMSBIB
\Bibitem{Pya03}
\by E.~V.~Pyatkina
\paper Small-time expansion of wave motion generated by a submerged sphere
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 1
\pages 39--52
\mathnet{http://mi.mathnet.ru/pmtf2456}
\elib{https://elibrary.ru/item.asp?id=17274748}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 1
\pages 32--43
\crossref{https://doi.org/10.1023/A:1021721528143}
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  • https://www.mathnet.ru/eng/pmtf/v44/i1/p39
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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