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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

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

This article is cited in 6 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.

UDC: 512.77, 517.912

MSC: 70Hxx, 70G65

Received: 13.04.2012
Revised: 21.10.2012



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