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



Nelin. Dinam.:
Year:
Volume:
Issue:
Page:
Find






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


Nelin. Dinam., 2019, Volume 15, Number 3, Pages 221–231 (Mi nd655)  

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

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.


DOI: https://doi.org/10.20537/nd190302

Full text: PDF file (660 kB)
References: PDF file   HTML file

Bibliographic databases:

MSC: 76E30
Received: 29.04.2019
Accepted:09.07.2019

Citation: A. A. Safronov, A. A. Koroteev, N. I. Filatov, N. A. Safronova, “Capillary Hydraulic Jump in a Viscous Jet”, Nelin. Dinam., 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 Nelin. Dinam.
\yr 2019
\vol 15
\issue 3
\pages 221--231
\mathnet{http://mi.mathnet.ru/nd655}
\crossref{https://doi.org/10.20537/nd190302}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=4021365}


Linking options:
  • http://mi.mathnet.ru/eng/nd655
  • http://mi.mathnet.ru/eng/nd/v15/i3/p221

    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
  • Нелинейная динамика
    Number of views:
    This page:10
    Full text:3
    References:1

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