Russian Journal of Nonlinear Dynamics
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



Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find






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


Russian Journal of Nonlinear Dynamics, 2019, Volume 15, Number 3, Pages 221–231
DOI: https://doi.org/10.20537/nd190302
(Mi nd655)
 

This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear physics and mechanics

Capillary Hydraulic Jump in a Viscous Jet

A. A. Safronova, A. A. Koroteevb, N. I. Filatova, N. A. Safronovac

a Keldysh Research Center, ul. Onezhskaya 8, Moscow, 125438 Russia
b Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia
c Moscow Institute of Physics and Technology, Institutsky per. 9, Dolgoprudny, Moscow region, 141701 Russia
Full-text PDF (660 kB) Citations (1)
References:
Abstract: Stationary waves in a cylindrical jet of a viscous fluid are considered. It is shown that when the capillary pressure gradient of the term with the third derivative of the jet radius in the axial coordinate is taken into account in the expression, the previously described self-similar solutions of hydrodynamic equations arise. Solutions of the equation of stationary waves propagation are studied analytically. The form of stationary soliton-like solutions is calculated numerically. The results obtained are used to analyze the process of thinning and rupture of jets of viscous liquids.
Keywords: instability, capillary flows, viscous jet, stationary waves.
Funding agency Grant number
Russian Science Foundation 19-19-00045
This work was supported by the grant of the Russian Science Foundation No. 19-19-00045.
Received: 29.04.2019
Accepted: 09.07.2019
Bibliographic databases:
Document Type: Article
MSC: 76E30
Language: Russian
Citation: A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova, “Capillary Hydraulic Jump in a Viscous Jet”, Rus. J. Nonlin. Dyn., 15:3 (2019), 221–231
Citation in format AMSBIB
\Bibitem{SafKorFil19}
\by A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova
\paper Capillary Hydraulic Jump in a Viscous Jet
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 3
\pages 221--231
\mathnet{http://mi.mathnet.ru/nd655}
\crossref{https://doi.org/10.20537/nd190302}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4021365}
Linking options:
  • https://www.mathnet.ru/eng/nd655
  • https://www.mathnet.ru/eng/nd/v15/i3/p221
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Russian Journal of Nonlinear Dynamics
    Statistics & downloads:
    Abstract page:181
    Full-text PDF :46
    References:23
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024