Regular and Chaotic Dynamics

, Volume 18, Issue 1–2, pp 100–117 | Cite as

The self-propulsion of a body with moving internal masses in a viscous fluid

  • Evgeny V. Vetchanin
  • Ivan S. Mamaev
  • Valentin A. Tenenev


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.


finite-volume numerical method Navier-Stokes equations variable internal mass distribution motion control 

MSC2010 numbers

70Hxx 70G65 


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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  • Evgeny V. Vetchanin
    • 1
  • Ivan S. Mamaev
    • 2
    • 3
    • 4
  • Valentin A. Tenenev
    • 1
  1. 1.Izhevsk State Technical UniversityIzhevskRussia
  2. 2.Institute of Computer ScienceUdmurt State UniversityIzhevskRussia
  3. 3.A.A. Blagonravov Mechanical Engineering Research Institute of RASMoscowRussia
  4. 4.Institute of Mathematics and Mechanics of the Ural Branch of RASEkaterinburgRussia

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