Abstract

Steady adiabatic filtration of real gases is studied. Thermodynamical states of real gases are presented by Legendrian surfaces in 5-dimensional thermodynamical contact space. The relation between phase transitions and singularities of projection of the Legendrian surfaces on the plane of intensive variables is shown. The constructive method of finding solutions of the Dirichlet filtration problem together with analysis of critical phenomena is presented. Case of van der Waals gas is discussed in details.

中文翻译：

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真实气体过滤过程中的关键现象

摘要

研究了真实气体的稳定绝热过滤。真实气体的热力学状态由Legendrian表面在5维热力学接触空间中表示。示出了相变和强度变量平面上Legendrian曲面的投影奇异性之间的关系。介绍了寻找狄利克雷过滤问题解的建设性方法以及对关键现象的分析。详细讨论了范德华气体的情况。