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.

中文翻译：

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过热液体中汽泡生长的分析描述：一种新方法

摘要

本文介绍了过热液体中汽泡增长的数学模型，该模型同时考虑了动态和热效应，并包括了众所周知的经典方程，动量方程和热方程，这些方程的编写考虑了流体的过程。液体蒸发。发现了该问题的近似半解析解，其构造基于气泡生长过程的准平稳状态的存在。这使得可以将原始运动边界值问题简化为一阶常微分方程组。所获得的解决方案在过程的所有阶段以及广泛的系统参数中都是有效的。