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首页> 外文期刊>Continuum mechanics and thermodynamics >Bubbles in liquids with phase transition - Part 1. On phase change of a single vapor bubble in liquid water
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Bubbles in liquids with phase transition - Part 1. On phase change of a single vapor bubble in liquid water

机译：具有相变的液体中的气泡-第1部分。关于液态水中单个蒸气气泡的相变

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In the forthcoming second part of this paper a system of balance laws for a multi-phase mixture with many dispersed bubbles in liquid is derived where phase transition is taken into account. The exchange terms for mass, momentum and energy explicitly depend on evolution laws for total mass, radius and temperature of single bubbles. Therefore in the current paper we consider a single bubble of vapor and inert gas surrounded by the corresponding liquid phase. The creation of bubbles, e.g. by nucleation is not taken into account. We study the behavior of this bubble due to condensation and evaporation at the interface. The aim is to find evolution laws for total mass, radius and temperature of the bubble, which should be as simple as possible but consider all relevant physical effects. Special attention is given to the effects of surface tension and heat production on the bubble dynamics as well as the propagation of acoustic elastic waves by including slight compressibility of the liquid phase. Separately we study the influence of the three phenomena heat conduction, elastic waves and phase transition on the evolution of the bubble. We find ordinary differential equations that describe the bubble dynamics. It turns out that the elastic waves in the liquid are of greatest importance to the dynamics of the bubble radius. The phase transition has a strong influence on the evolution of the temperature, in particular at the interface. Furthermore the phase transition leads to a drastic change of the water content in the bubble. It is shown that a rebounding bubble is only possible, if it contains in addition an inert gas. In Part 2 of the current paper the equations derived are sought in order to close the system of equations for multi-phase mixture balance laws for dispersed bubbles in liquids involving phase change.
机译：在本文的第二部分中，在考虑相变的情况下，得出了一种在液体中具有许多分散气泡的多相混合物的平衡律系统。质量，动量和能量的交换项明确取决于单个气泡的总质量，半径和温度的演化规律。因此，在本文中，我们考虑由相应液相包围的蒸气和惰性气体的单个气泡。气泡的产生，例如不考虑成核现象。我们研究了由于界面处的冷凝和蒸发导致的气泡行为。目的是找到气泡的总质量，半径和温度的演化规律，该规律应尽可能简单，但要考虑所有相关的物理影响。通过特别注意液相的可压缩性，特别注意表面张力和热量产生对气泡动力学以及声弹性波传播的影响。我们分别研究了热传导，弹性波和相变这三种现象对气泡演化的影响。我们发现描述气泡动力学的常微分方程。事实证明，液体中的弹性波对于气泡半径的动力学至关重要。相变对温度的变化有很大的影响，特别是在界面处。此外，相变导致气泡中水含量的急剧变化。结果表明，只有在泡沫中还包含惰性气体时，才可能出现回弹泡沫。在本论文的第2部分中，寻求导出的方程式，以便封闭涉及相变的液体中分散气泡的多相混合物平衡定律的方程式。

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