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Труды Института механики им. Р.Р. Мавлютова
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Proceedings of the Mavlyutov Institute of Mechanics





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Chashechkin Yu.D. Thin structure of heterogeneous and multiphase fluid flows Proceedings of the Mavlyutov Institute of Mechanics. 9 (2012) 1. 175–180.
2012. Vol. 9. Issue 1, Pp. 175–180
URL: http://proc.uimech.org/uim2012.1.036,en
DOI: 10.21662/uim2012.1.036
Thin structure of heterogeneous and multiphase fluid flows
Chashechkin Yu.D.
Institute for Problems in Mechanics of RAS, Moscow

Abstract

According to the results of visualization of streams, the existence of structures in a wide range of scales is noted: from galactic to micron. The use of a fundamental system of equations is substantiated based on the results of comparing symmetries of various flow models with the usage of theoretical group methods. Complete solutions of the system are found by the methods of the singular perturbations theory with a condition of compatibility, which determines the characteristic equation. A comparison of complete solutions with experimental data shows that regular solutions characterize large-scale components of the flow, a rich family of singular solutions describes formation of the thin media structure. Examples of calculations and observations of stratified, rotating and multiphase media are given. The requirements for the technique of an adequate experiment are discussed.