RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Regul. Chaotic Dyn., 2018, Volume 23, Issue 7-8, Pages 875–886 (Mi rcd372)  

This article is cited in 2 scientific papers (total in 2 papers)

The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor

Ivan S. Mamaev, Evgeny V. Vetchanin

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: This paper addresses the problem of controlled motion of the Zhukovskii foil in a viscous fluid due to a periodically oscillating rotor. Equations of motion including the added mass effect, viscous friction and lift force due to circulation are derived. It is shown that only limit cycles corresponding to the direct motion or motion near a circle appear in the system at the standard parameter values. The chart of dynamical regimes, the chart of the largest Lyapunov exponent and a one-parameter bifurcation diagram are calculated. It is shown that strange attractors appear in the system due to a cascade of period-doubling bifurcations.

Keywords: self-propulsion, Zhukovskii foil, foil with a sharp edge, motion in a viscous fluid, controlled motion, period-doubling bifurcation

Funding Agency Grant Number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005 and was performed at the Steklov Mathematical Institute of the Russian Academy of Sciences.


DOI: https://doi.org/10.1134/S1560354718070055

References: PDF file   HTML file

Bibliographic databases:

MSC: 37Mxx, 70Exx, 76Dxx
Received: 22.10.2018
Accepted:26.11.2018
Language:

Citation: Ivan S. Mamaev, Evgeny V. Vetchanin, “The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor”, Regul. Chaotic Dyn., 23:7-8 (2018), 875–886

Citation in format AMSBIB
\Bibitem{MamVet18}
\by Ivan S. Mamaev, Evgeny V. Vetchanin
\paper The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 7-8
\pages 875--886
\mathnet{http://mi.mathnet.ru/rcd372}
\crossref{https://doi.org/10.1134/S1560354718070055}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3910171}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000458183900005}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85061288455}


Linking options:
  • http://mi.mathnet.ru/eng/rcd372
  • http://mi.mathnet.ru/eng/rcd/v23/i7/p875

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


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

    This publication is cited in the following articles:
    1. A. G. Petrov, “Saturation-Free Numerical Scheme for Computing the Flow Past a Lattice of Airfoils with a Sharp Edge”, Nelineinaya dinam., 15:2 (2019), 135–143  mathnet  crossref
    2. E. V. Vetchanin, E. A. Mikishanina, “Vibrational Stability of Periodic Solutions of the Liouville Equations”, Nelineinaya dinam., 15:3 (2019), 351–363  mathnet  crossref  mathscinet
  • Number of views:
    This page:49
    References:10

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020