Research output: Contribution to journal › Article › peer-review
Analytical Description of Vapor Bubble Growth in a Superheated Liquid: A New Approach. / Chernov, A. A.; Guzev, M. A.; Pil’nik, A. A. et al.
In: Doklady Physics, Vol. 65, No. 11, 11.2020, p. 405-408.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Analytical Description of Vapor Bubble Growth in a Superheated Liquid: A New Approach
AU - Chernov, A. A.
AU - Guzev, M. A.
AU - Pil’nik, A. A.
AU - Vladyko, I. V.
AU - Chudnovsky, V. M.
N1 - Funding Information: This work was supported by the Russian Science Foundation, project no. 19-19-00122. Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2020/11
Y1 - 2020/11
N2 - This article presents a mathematical model of vapor bubble growth in a superheated liquid, which simultaneously takes into account both dynamic and thermal effects and includes the well-known classical equations, the momentum equation and the heat equation, written to take into account the process of liquid evaporation. An approximate semi-analytical solution of the problem is found, its construction based on the existence of a quasi-stationary state for the bubble growth process. This makes it possible to reduce the original moving boundary value problem to a system of ordinary differential equations of the first order. The solution obtained is valid at all stages of the process and for a wide range of system parameters. It is shown that at large times the solution becomes self-similar and in limiting cases it agrees with the known solutions of other authors.
AB - This article presents a mathematical model of vapor bubble growth in a superheated liquid, which simultaneously takes into account both dynamic and thermal effects and includes the well-known classical equations, the momentum equation and the heat equation, written to take into account the process of liquid evaporation. An approximate semi-analytical solution of the problem is found, its construction based on the existence of a quasi-stationary state for the bubble growth process. This makes it possible to reduce the original moving boundary value problem to a system of ordinary differential equations of the first order. The solution obtained is valid at all stages of the process and for a wide range of system parameters. It is shown that at large times the solution becomes self-similar and in limiting cases it agrees with the known solutions of other authors.
KW - analytical solution
KW - boiling
KW - superheated liquid
KW - vapor bubble
UR - http://www.scopus.com/inward/record.url?scp=85101735116&partnerID=8YFLogxK
U2 - 10.1134/S1028335820110026
DO - 10.1134/S1028335820110026
M3 - Article
AN - SCOPUS:85101735116
VL - 65
SP - 405
EP - 408
JO - Doklady Physics
JF - Doklady Physics
SN - 1028-3358
IS - 11
ER -
ID: 28003233