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JOURNALS // Regular and Chaotic Dynamics // Archive

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

This article is cited in 34 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.

MSC: 70Hxx, 70G65

Received: 11.07.2012
Accepted: 16.01.2013

Language: English

DOI: 10.1134/S1560354713010073



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