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.
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.
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
\Bibitem{VetMamTen13}
\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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\crossref{https://doi.org/10.1134/S1560354713010073}
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\zmath{https://zbmath.org/?q=an:1329.70052}
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Linking options:
https://www.mathnet.ru/eng/rcd98
https://www.mathnet.ru/eng/rcd/v18/i1/p100
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