Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2013-5pp.541-550

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Total articles in the database: 10522
In Russian (ΟΜΜ): 9723
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V.V. Koledin and V.Sh. Shagapov, "The dynamics of the growth of vapour bubbles in a superheated liquid," J. Appl. Math. Mech. 77 (5), 541-550 (2013)
Year 2013 Volume 77 Issue 5 Pages 541-550
Title The dynamics of the growth of vapour bubbles in a superheated liquid
Author(s) V.V. Koledin (Birsk, Russia, vikoled@mail.ru)
V.Sh. Shagapov (Birsk, Russia)
Abstract The boiling of a superheated liquid is investigated assuming that, in the initial state, the liquid and a vapour bubble (or a system of vapour bubbles) are in mechanical and thermal equilibrium. It is shown that the state of a mixture of a liquid and bubbles is unstable due to the action of capillary forces. Linear and non-linear solutions are constructed describing the emergence of the system from the unstable state and also the unbounded growth of a single bubble and the transition into a stable vapour-liquid state when there are bubbles distributed throughout the volume in the initial state.
Received 18 February 2012
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