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

This article is cited in 21 scientific papers (total in 21 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

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation NSh-2519.2012.1
1.2953.2011
14.B37.21.1935
NSh-2519.2012.1
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.


DOI: https://doi.org/10.1134/S1560354713010073

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Document Type: Article
MSC: 70Hxx, 70G65
Received: 11.07.2012
Language: English

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

Citation in format AMSBIB
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\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
\mathnet{http://mi.mathnet.ru/rcd98}
\crossref{https://doi.org/10.1134/S1560354713010073}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3040985}
\zmath{https://zbmath.org/?q=an:1329.70052}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000317623400007}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

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    2. Sergey P. Kuznetsov, “Plate Falling in a Fluid: Regular and Chaotic Dynamics of Finite-dimensional Models”, Regul. Chaotic Dyn., 20:3 (2015), 345–382  mathnet  crossref  mathscinet  zmath  adsnasa
    3. A. A. Kilin, E. V. Vetchanin, “Upravlenie dvizheniem tverdogo tela v zhidkosti s pomoschyu dvukh podvizhnykh mass”, Nelineinaya dinam., 11:4 (2015), 633–645  mathnet
    4. Yu. L. Karavaev, A. A. Kilin, “Dinamika sferorobota s vnutrennei omnikolesnoi platformoi”, Nelineinaya dinam., 11:1 (2015), 187–204  mathnet  elib
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    6. Alice C. Quillen, Hesam Askari, Douglas H. Kelley, Tamar Friedmann, Patrick W. Oakes, “A Coin Vibrational Motor Swimming at Low Reynolds Number”, Regul. Chaotic Dyn., 21:7-8 (2016), 902–917  mathnet  crossref
    7. Yury L. Karavaev, Alexander A. Kilin, Anton V. Klekovkin, “Experimental Investigations of the Controlled Motion of a Screwless Underwater Robot”, Regul. Chaotic Dyn., 21:7-8 (2016), 918–926  mathnet  crossref
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    9. E. V. Vetchanin, A. A. Kilin, “Upravlenie dvizheniem neuravnoveshennogo tyazhelogo ellipsoida v zhidkosti s pomoschyu rotorov”, Nelineinaya dinam., 12:4 (2016), 663–674  mathnet  crossref  mathscinet  elib
    10. A. V. Borisov, S. P. Kuznetsov, I. S. Mamaev, V. A. Tenenev, “Describing the motion of a body with an elliptical cross section in a viscous uncompressible fluid by model equations reconstructed from data processing”, Tech. Phys. Lett., 42:9 (2016), 886–890  crossref  isi  scopus
    11. V. A. Tenenev, S. A. Korolev, I. G. Rusyak, “Numerical simulation of rotating body movement in medium with various densities”, International Conference on the Methods of Aerophysical Research (ICMAR 2016), AIP Conf. Proc., 1770, ed. V. Fomin, Amer. Inst. Phys., 2016, 030073  crossref  isi  scopus
    12. E. V. Vetchanin, A. A. Kilin, “Free and Controlled Motion of a Body With a Moving Internal Mass Through a Fluid in the Presence of Circulation Around the Body”, Dokl. Phys., 61:1 (2016), 32–36  mathnet  crossref  mathscinet  isi  scopus
    13. A. N. Nuriev, O. S. Zakharova, O. N. Zaitseva, A. I. Yunusova, “The study of the wedge-shaped vibration-driven robot motion in a viscous fluid forced by different oscillation laws of the internal mass”, 11Th International Conference on Mesh Methods For Boundry-Value Problems and Applications, IOP Conference Series-Materials Science and Engineering, 158, IOP Publishing Ltd, 2016, UNSP 012072  crossref  isi  scopus
    14. A. N. Nuriev, A. I. Yunusova, O. N. Zaitseva, “Modelirovanie peremescheniya klinovidnogo vibrorobota v vyazkoi zhidkosti pri razlichnykh zakonakh dvizheniya vnutrennei massy v pakete OpenFOAM”, Trudy ISP RAN, 29:1 (2017), 101–118  mathnet  crossref  elib
    15. E. V. Vetchanin, V. A. Tenenev, A. A. Kilin, “Optimalnoe upravlenie dvizheniem v idealnoi zhidkosti tela s vintovoi simmetriei s vnutrennimi rotorami”, Kompyuternye issledovaniya i modelirovanie, 9:5 (2017), 741–759  mathnet  crossref
    16. E. V. Vetchanin, I. S. Mamaev, “Optimal control of the motion of a helical body in a liquid using rotors”, Russ. J. Math. Phys., 24:3 (2017), 399–411  crossref  mathscinet  zmath  isi  scopus
    17. Ya. Yan, Ya. Liu, M. Liao, “A comparative study of the vibro-impact capsule systems with one-sided and two-sided constraints”, Nonlinear Dyn., 89:2 (2017), 1063–1087  crossref  isi  scopus
    18. E. V. Vetchanin, A. A. Kilin, “Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body”, J. Dyn. Control Syst., 23:2 (2017), 435–458  crossref  mathscinet  zmath  isi  scopus
    19. N. N. Chernov, A. V. Palii, A. V. Saenko, A. M. Maevskii, “A method of body shape optimization for decreasing the aerodynamic drag force in gas flow”, Tech. Phys. Lett., 44:4 (2018), 328–330  crossref  isi  scopus
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