论文标题

实际气体非平稳过滤的关键现象和奇异溶液

Critical phenomena and singular solutions in non-stationary filtration of real gases

论文作者

Lychagin, Valentin, Roop, Mikhail

论文摘要

在本文中,我们研究了多孔培养基中真实气体的非平稳过滤。介质的热力学状态由范德华状态方程给出。非平稳过滤方程的溶液是通过有限尺寸动力学获得的。在静脉内和静脉过程中进行了沿流量的相变的分析,并讨论了获得的溶液的单数特性。显示动力学是吸引子的射流空间中的域。

In this paper, we study non-stationary filtration of real gases in porous media. Thermodynamic state of the medium is given by van der Waals state equations. Solutions for non-stationary filtration equation are obtained by means of finite dimensional dynamics. The analysis of phase transitions along the flow in case of isentropic and isenthalpic processes is presented as well as singular properties of solutions obtained are discussed. Domains in the jet space where the dynamics found is an attractor are shown.

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