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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 1, Pages 94–99 (Mi pmtf1567)  
Methods of calculating the roots of the dispersion equation for free oscillations of a gas bubble in a liquid

N. S. Khabeev

University of Kingdom Bahrain, Manama, 32038, Bahrain
Full-text PDF (210 kB)
Abstract: The problem of free radial oscillations of gas bubbles in a liquid is considered. The structure of the roots of the dispersion equation in the presence of heat transfer between the phases is studied in detail. It is shown that this equation has two complex-conjugate roots and an infinite number of real roots; all of the roots lie in the left complex half-plane, providing damping of radial oscillations. Approximate expressions for these roots are obtained.
Keywords: dispersion equation, gas bubbles in liquid, free oscillations.
Received: 29.09.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 1, Pages 79–83
DOI: https://doi.org/10.1007/s10808-010-0012-3
Bibliographic databases:
Document Type: Article
UDC: 532.529
Language: Russian
Citation: N. S. Khabeev, “Methods of calculating the roots of the dispersion equation for free oscillations of a gas bubble in a liquid”, Prikl. Mekh. Tekh. Fiz., 51:1 (2010), 94–99; J. Appl. Mech. Tech. Phys., 51:1 (2010), 79–83
Citation in format AMSBIB
\Bibitem{Kha10}
\by N.~S.~Khabeev
\paper Methods of calculating the roots of the dispersion equation for free oscillations of a gas bubble in a liquid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 1
\pages 94--99
\mathnet{http://mi.mathnet.ru/pmtf1567}
\elib{https://elibrary.ru/item.asp?id=13026111}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 1
\pages 79--83
\crossref{https://doi.org/10.1007/s10808-010-0012-3}
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