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Nelin. Dinam., 2012, Volume 8, Number 4, Pages 815–836 (Mi nd362)  

This article is cited in 4 scientific papers (total in 4 papers)

The motion of a body with variable mass geometry in a viscous fluid

Evgeny V. Vetchanina, Ivan S. Mamaevbcd, Valentin A. Teneneva

a Izhevsk State Technical University, Studencheskaya 7, Izhevsk, 426069 Russia
b Institute of Computer Science; Laboratory of Nonlinear Analysis and the Design of New Types of Vehicles, Udmurt State University, Universitetskaya 1, Izhevsk, 426034 Russia
c A. A. Blagonravov Mechanical Engineering Research Institute of RAS, Russia, Moscow
d Institute of Mathematics and Mechanics of the Ural Branch of RAS, Russia, Ekaterinburg, S. Kovalevskaja str. 16, Ekaterinburg, 620990, Russia

Abstract: An investigation of the characteristics of motion of a rigid body with variable internal mass distribution in a viscous fluid is carried out on the basis of a joint numerical solution of the Navier–Stokes equations and equations of motion. A non-stationary three-dimensional solution to the problem is found. The motion of a sphere and a drop-shaped body in a viscous fluid, which is caused by the motion of internal material points, in a gravitational field is explored. The possibility of motion of a body in an arbitrary given direction is shown.

Keywords: finite-volume numerical method, Navier–Stokes equations, variable internal mass distribution, motion control

Full text: PDF file (2557 kB)
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Document Type: Article
UDC: 512.77, 517.912
MSC: 70Hxx, 70G65
Received: 13.04.2012
Revised: 21.10.2012

Citation: Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The motion of a body with variable mass geometry in a viscous fluid”, Nelin. Dinam., 8:4 (2012), 815–836

Citation in format AMSBIB
\Bibitem{VetMamTen12}
\by Evgeny~V.~Vetchanin, Ivan~S.~Mamaev, Valentin~A.~Tenenev
\paper The motion of a body with variable mass geometry in a viscous fluid
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 4
\pages 815--836
\mathnet{http://mi.mathnet.ru/nd362}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. V. Vetchanin, Yu. L. Karavaev, A. A. Kalinkin, A. V. Klekovkin, E. N. Pivovarova, “Model bezvintovogo podvodnogo robota”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:4 (2015), 544–553  mathnet  elib
    2. V. A. Tenenev, E. V. Vetchanin, L. F. Ilaletdinov, “Khaoticheskaya dinamika v zadache o padenii tela vintovoi formy v zhidkosti”, Nelineinaya dinam., 12:1 (2016), 99–120  mathnet
    3. E. V. Vetchanin, A. A. Kilin, “Controlled motion of a rigid body with internal mechanisms in an ideal incompressible fluid”, Proc. Steklov Inst. Math., 295 (2016), 302–332  mathnet  crossref  crossref  mathscinet  isi  elib
    4. A. A. Kilin, A. I. Klenov, V. A. Tenenev, “Upravlenie dvizheniem tela s pomoschyu vnutrennikh mass v vyazkoi zhidkosti”, Kompyuternye issledovaniya i modelirovanie, 10:4 (2018), 445–460  mathnet  crossref
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