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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2011 Volume 7, Number 3, Pages 635–647 (Mi nd282)

This article is cited in 19 papers

Motion of a body with variable distribution of mass in a boundless viscous liquid

S. M. Ramodanovab, V. A. Tenenevc

a Udmurt State University, Universitetskaya 1, Izhevsk, 426034 Russia
b Institute of Computer Science, Universitetskaya 1, Izhevsk, 426034 Russia
c Izhevsk State Technical University, Studencheskaya 7, Izhevsk, 426069 Russia

Abstract: In the paper we consider the motion of a rigid body in a boundless volume of liquid. The body is set in motion by redistribution of internal masses. The mathematical model employs the equations of motion for the rigid body coupled with the hydrodynamic Navier–Stokes equations. The problem is mostly dealt with numerically. Simulations have revealed that the body's trajectory is strongly governed by viscous effects.

Keywords: self-propulsion, Navier–Stokes equations, viscous vortical motion, numerical methods.

UDC: 532.3, 519.635.8

MSC: 76D05, 35Q30, 65N06

Received: 01.09.2011
Revised: 24.09.2011



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