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Regul. Chaotic Dyn., 2013, Volume 18, Issue 1-2, Pages 100–117 (Mi rcd98)  

This article is cited in 22 scientific papers (total in 22 papers)

The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid

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

a Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069 Russia
b Institute of Computer Science, Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
c Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S.Kovalevskoy 16, Ekaterinburg, 620990 Russia
d A.A. Blagonravov Mechanical Engineering Research Institute of RAS, ul. Bardina 4, Moscow, 117334 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 for a rigid body. A nonstationary three-dimensional solution to the problem is found. The motion of a sphere and a drop-shaped body in a viscous fluid in a gravitational field, which is caused by the motion of internal material points, is explored. The possibility of self-propulsion of a body in an arbitrary given direction is shown.

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

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation NSh-2519.2012.1
This research was supported by the Presidential grant of leading scientific schools NSh-2519.2012.1., the Target Programme “Development of Scientific Potential of Higher Schools” (State contract 1.2953.2011, 2012–2014); the Federal Target Programme “Scientific and Scientific-Pedagogical Personnel of Innovative Russia” (State contract 14.B37.21.1935, 2009–2013); grant of leading scientific schools NSh-2519.2012.1.


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Document Type: Article
MSC: 70Hxx, 70G65
Received: 11.07.2012
Language: English

Citation: Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev, “The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid”, Regul. Chaotic Dyn., 18:1-2 (2013), 100–117

Citation in format AMSBIB
\by Evgeny V. Vetchanin, Ivan S. Mamaev, Valentin A. Tenenev
\paper The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 1-2
\pages 100--117

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