Abstract
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.
Original language | English |
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Pages (from-to) | 405-408 |
Number of pages | 4 |
Journal | Doklady Physics |
Volume | 65 |
Issue number | 11 |
DOIs | |
Publication status | Published - Nov 2020 |
Keywords
- analytical solution
- boiling
- superheated liquid
- vapor bubble
OECD FOS+WOS
- 1.03 PHYSICAL SCIENCES AND ASTRONOMY
- 2.03.PU MECHANICS