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 -