TY - JOUR

T1 - New semi-analytical solution of the problem of vapor bubble growth in superheated liquid

AU - Chernov, A. A.

AU - Pil’nik, A. A.

AU - Vladyko, I. V.

AU - Lezhnin, S. I.

PY - 2020/12/1

Y1 - 2020/12/1

N2 - This paper presents a mathematical model of the vapor bubble growth in an initially uniformly superheated liquid. This model takes into account simultaneously the dynamic and thermal effects and includes the well-known classical equations: the Rayleigh equation and the heat conductivity equation, written with consideration of specifics associated with the process of liquid evaporation. We have obtained a semi-analytical solution to the problem, which consists in reducing the initial boundary value problem with a moving boundary to a system of ordinary differential equations of the first order, valid in a wide range of operating parameters of the process at all its stages: from inertial to thermal, including the transitional one. It is shown that at large times this solution is consistent with the known solutions of other authors obtained in the framework of the energy thermal model, in particular, for the high Jacob numbers, it is consistent with the Plesset–Zwick solution.

AB - This paper presents a mathematical model of the vapor bubble growth in an initially uniformly superheated liquid. This model takes into account simultaneously the dynamic and thermal effects and includes the well-known classical equations: the Rayleigh equation and the heat conductivity equation, written with consideration of specifics associated with the process of liquid evaporation. We have obtained a semi-analytical solution to the problem, which consists in reducing the initial boundary value problem with a moving boundary to a system of ordinary differential equations of the first order, valid in a wide range of operating parameters of the process at all its stages: from inertial to thermal, including the transitional one. It is shown that at large times this solution is consistent with the known solutions of other authors obtained in the framework of the energy thermal model, in particular, for the high Jacob numbers, it is consistent with the Plesset–Zwick solution.

KW - GAS-BUBBLES

KW - DYNAMICS

KW - MODEL

KW - LAW

UR - http://www.scopus.com/inward/record.url?scp=85091980717&partnerID=8YFLogxK

U2 - 10.1038/s41598-020-73596-x

DO - 10.1038/s41598-020-73596-x

M3 - Article

C2 - 33020555

AN - SCOPUS:85091980717

VL - 10

JO - Scientific Reports

JF - Scientific Reports

SN - 2045-2322

IS - 1

M1 - 16526

ER -