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Nelin. Dinam., 2017, Volume 13, Number 2, Pages 181–193 (Mi nd559)  

This article is cited in 3 scientific papers (total in 3 papers)

Original papers

Cavitational braking of a rigid body in a perturbed liquid

M. V. Norkin

Southern Federal University, ul. Milchakova 8a, Rostov-on-Don, 344090, Russia

Abstract: This paper is concerned with the problem of the initial stage of motion of a rigid body in a perturbed liquid when its speed decreases under the linear law. A special feature of this problem is that at large accelerations there are areas of low pressure near the body and attached cavities are formed. Generally the zone of separation is an incoherent set. An important aspect of this study is the problem definition with boundary conditions like inequalities on the basis of which initial zones of separation of particles of the liquid and forms of internal free borders of the liquid on small times are defined. An example is considered in which the initial perturbation of the liquid is caused by a continuous dispersal of the circular cylinder under the free surface of the heavy liquid. A special asymptotic method (like the alternating method of Schwartz) based on the assumption that the free surface of the liquid is at large distances from the floating body is applied to the solution of the last problem.

Keywords: ideal incompressible liquid, cavitational braking, asymptotics, free border, cavity, small times, Froude’s number, cavitation number

DOI: https://doi.org/10.20537/nd1702003

Full text: PDF file (296 kB)
References: PDF file   HTML file

UDC: 519.634
MSC: 76B07, 76B10, 76B20
Received: 19.11.2016
Accepted:16.03.2017

Citation: M. V. Norkin, “Cavitational braking of a rigid body in a perturbed liquid”, Nelin. Dinam., 13:2 (2017), 181–193

Citation in format AMSBIB
\Bibitem{Nor17}
\by M.~V.~Norkin
\paper Cavitational braking of a rigid body in a perturbed liquid
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 2
\pages 181--193
\mathnet{http://mi.mathnet.ru/nd559}
\crossref{https://doi.org/10.20537/nd1702003}
\elib{http://elibrary.ru/item.asp?id=29443376}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. M. V. Norkin, “Matematicheskaya model kavitatsionnogo tormozheniya tora v zhidkosti posle udara”, Matem. modelirovanie, 30:8 (2018), 116–130  mathnet
    2. M. V. Norkin, “Free cavitational deceleration of a circular cylinder in a liquid after impact”, J. Appl. Industr. Math., 12:3 (2018), 510–518  mathnet  crossref  crossref  elib  elib
    3. M. V. Norkin, “Kavitatsionnoe tormozhenie tsilindra s peremennym radiusom v zhidkosti posle udara”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:2 (2019), 261–274  mathnet  crossref  elib
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