| Инд. авторы: | Chirkunov Y.A. |
| Заглавие: | Motion of gas in highly rarefied space |
| Библ. ссылка: | Chirkunov Y.A. Motion of gas in highly rarefied space // Journal of Physics: Conference Series. - 2017. - Vol.894. - Iss. 1. - Art.012108. - ISSN 1742-6588. - EISSN 1742-6596. |
| Внешние системы: | DOI: 10.1088/1742-6596/894/1/012108; SCOPUS: 2-s2.0-85033229436; |
| Реферат: | eng: A model describing a motion of gas in a highly rarefied space received an unlucky number 13 in the list of the basic models of the motion of gas in the three-dimensional space obtained by L.V. Ovsyannikov. For a given initial pressure distribution, a special choice of mass Lagrangian variables leads to the system describing this motion for which the number of independent variables is less by one. Hence, there is a foliation of a highly rarefied gas with respect to pressure. In a strongly rarefied space for each given initial pressure distribution, all gas particles are localized on a two-dimensional surface that moves with time in this space We found some exact solutions of the obtained system that describe the processes taking place inside of the tornado. For this system we found all nontrivial conservation laws of the first order. In addition to the classical conservation laws the system has another conservation law, which generalizes the energy conservation law. With the additional condition we found another one generalized energy conservation law. |
| Ключевые слова: | Three dimensional space; Rarefied gas; Independent variables; Gas particles; Exact solution; Energy conservation law; Gases; Pressure distribution; Physical properties; Hydrodynamics; Fluid dynamics; Energy conservation; Continuum mechanics; Conservation law; Two-dimensional surface; |
| Издано: | 2017 |
| Физ. характеристика: | 012108 |
| Конференция: | Название: All-Russian Conference with International Participation on Modern Problems of Continuum Mechanics and Explosion Physics: Dedicated to the 60th Anniversary of Lavrentyev Institute of Hydrodynamics SB RAS Аббревиатура: MPCMEP 2017 Город: Novosibirsk Страна: Russia Даты проведения: 2017-09-04 - 2017-09-08 |