RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TVT:
Year:
Volume:
Issue:
Page:
Find






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


TVT, 2014, Volume 52, Issue 6, Pages 875–885 (Mi tvt205)  

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

Heat and Mass Transfer and Physical Gasdynamics

Pulsations of a gas bubble in the acoustic field (Resonance and limits of the polytropic approximation)

A. A. Avdeev

The All Russian Scientific-Research and Design Institute of Atomic and Energy Engineering, Moscow

Abstract: The problem of pulsations of a gas bubble that are excited by oscillations of the external pressure has been solved analytically. The similarity numbers controlling the process under consideration have been obtained. It has been shown that variations of the parameters inside the bubble are determined by the adiabatic exponent (gas specific heat ratio) and the Fourier number, whereas the complete solution of an external problem is a function of three similarity numbers (the adiabatic exponent, the Fourier number, and the dimensionless radius of the bubble). The characteristics of pulsations of the bubble in dimensionless coordinates have been analyzed in detail. It has been shown that the real process of pulsations of the bubble in the presence of heat exchange cannot be described in the frames of polytropic approximation. A formula for the calculation of the frequency of resonant pulsations has been obtained for the first time. It has been shown that the pressure distribution inside the bubble under resonance conditions can almost always be treated as uniform except for the nearest vicinity of the thermodynamic critical point.

DOI: https://doi.org/10.7868/S0040364414060027

Full text: PDF file (646 kB)
References: PDF file   HTML file

English version:
High Temperature, 2014, 52:6, 851–860

Bibliographic databases:

UDC: 532.529.5
Received: 08.02.2014
Accepted:15.04.2014

Citation: A. A. Avdeev, “Pulsations of a gas bubble in the acoustic field (Resonance and limits of the polytropic approximation)”, TVT, 52:6 (2014), 875–885; High Temperature, 52:6 (2014), 851–860

Citation in format AMSBIB
\Bibitem{Avd14}
\by A.~A.~Avdeev
\paper Pulsations of a gas bubble in the acoustic field (Resonance and limits of the polytropic approximation)
\jour TVT
\yr 2014
\vol 52
\issue 6
\pages 875--885
\mathnet{http://mi.mathnet.ru/tvt205}
\crossref{https://doi.org/10.7868/S0040364414060027}
\elib{http://elibrary.ru/item.asp?id=22403801}
\transl
\jour High Temperature
\yr 2014
\vol 52
\issue 6
\pages 851--860
\crossref{https://doi.org/10.1134/S0018151X14060029}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000346405400011}
\elib{http://elibrary.ru/item.asp?id=24021456}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919684841}


Linking options:
  • http://mi.mathnet.ru/eng/tvt205
  • http://mi.mathnet.ru/eng/tvt/v52/i6/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. D. A. Gubaidullin, A. A. Nikiforov, “Acoustic waves in viscoelastic bubbly media”, High Temperature, 57:1 (2019), 133–136  mathnet  crossref  crossref  isi  elib
  • Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
    Number of views:
    This page:198
    Full text:63
    References:49

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