Abstract

A model of a boiling liquid is presented that is based on the single-speed two-temperature generalized equilibrium model of a mixture with account for the forces of interaction between the fractions previously proposed by the author. The liquid fraction is assumed to be incompressible. The characteristic analysis of the model equations is carried out and their hyperbolicity is revealed. The relations for the characteristic directions and the differential relations along them are derived. The analytical formula for calculating the speed of sound in a boiling liquid is obtained. It is noted that when the phase transitions are taken into account the speed of sound in a liquid turns to be slightly lower than the speed calculated by the Wood formula. The calculation formulas are provided for the iterative nodal method of characteristics, which is used to calculate the flow during the decay of an arbitrary discontinuity in a boiling liquid without account for the interfractional heat exchange. In the calculations it is assumed that the phase transition in the boiling process occurs under the superheated state conditions when the temperature of the liquid exceeds the saturation temperature. It is demonstrated that accounting for the phase transformation leads to a significant increase in the vapor concentration in the unloading wave and to a slight increase in both the velocity of the mixture and its pressure. The concentration of the vapor fraction behind the front of the shock jump decreases.

中文翻译：

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沸腾液体的双曲模型

摘要

提出了一种沸腾液体的模型，该模型基于混合物的单速两温广义平衡模型，并考虑了作者先前提出的馏分之间的相互作用力。假定液体部分不可压缩。对模型方程进行了特征分析，揭示了其双曲性。推导了特征方向的关系和沿它们的微分关系。获得用于计算沸腾液体中的声速的解析公式。要注意的是，当考虑到相变时，液体中的声速会略低于伍德公式所计算的速度。为特性的迭代节点法提供了计算公式，它用于计算沸腾液体中任意不连续性衰减期间的流量，而无需考虑分形热交换。在计算中，假定当液体的温度超过饱和温度时，在过热状态条件下发生沸腾过程中的相变。已经证明，考虑到相变导致卸载波中的蒸气浓度显着增加，并且混合物的速度及其压力都略有增加。冲击跳变的前面后面的蒸气馏分的浓度降低。在计算中，假定当液体的温度超过饱和温度时，在过热状态条件下发生沸腾过程中的相变。已经证明，考虑到相变导致卸载波中的蒸气浓度显着增加，并且混合物的速度及其压力都略有增加。冲击跳变的前面后面的蒸气馏分的浓度降低。在计算中，假定当液体的温度超过饱和温度时，在过热状态条件下发生沸腾过程中的相变。已经证明，考虑到相变导致卸载波中的蒸气浓度显着增加，并且混合物的速度及其压力都略有增加。冲击跳变的前面后面的蒸气馏分的浓度降低。已经证明，考虑到相变导致卸载波中的蒸气浓度显着增加，并且混合物的速度及其压力都略有增加。冲击跳变的前面后面的蒸气馏分的浓度降低。已经证明，考虑到相变导致卸载波中的蒸气浓度显着增加，并且混合物的速度及其压力都略有增加。冲击跳跃前部后面的蒸气馏分浓度降低。