On a dryout point for a stationary incompressible thermal fluid with phase transition in a pipe

Yoshikazu Giga, Zhongyang Gu
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Abstract

A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one‐dimensional case, by solving the stationary incompressible Navier‐Stokes‐Fourier equations with phase transition, we derive a necessary and sufficient condition for a dryout point to exist when the temperature at the liquid‐vapor interface is given. In addition, we show by considering thermodynamics that the temperature at the dryout point and the density of the vapor phase can be determined by given density and sufficiently small injected mass flux of the liquid phase.
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关于管道中具有相变的静止不可压缩热流体的干涸点
干化点被认为是从液体到蒸汽发生相变的位置。在一维情况下,通过求解带相变的静止不可压缩纳维-斯托克斯-傅里叶方程,我们得出了当液气界面温度给定时,干化点存在的必要条件和充分条件。此外,我们还通过热力学证明,在给定密度和足够小的液相注入质量通量的情况下,可以确定干涸点的温度和气相的密度。
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