Exact Solutions for Layered Three-Dimensional Nonstationary Isobaric Flows of a Viscous Incompressible Fluid
- Authors: Zubarev N.M.1,2, Prosviryakov E.Y.3
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Affiliations:
- Institute of Electrophysics, Ural Branch
- Lebedev Physical Institute
- Institute of Engineering Science, Ural Branch
- Issue: Vol 60, No 6 (2019)
- Pages: 1031-1037
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161670
- DOI: https://doi.org/10.1134/S0021894419060075
- ID: 161670
Cite item
Abstract
This paper describes an overdetermined system of equations that describe three-dimensional layered unsteady flows of a. viscous incompressible fluid at a. constant pressure. Studying the compatibility of this system makes it possible to reduce it to coupled quasilinear parabolic equations for velocity components. The reduced equations allow constructing several classes of exact solutions. In particular, polynomial and spatially localized self-similar solutions of the equations of motion are obtained. The transition to the ideal fluid limit is investigated.
About the authors
N. M. Zubarev
Institute of Electrophysics, Ural Branch; Lebedev Physical Institute
Author for correspondence.
Email: nick@iep.uran.ru
Russian Federation, Ekaterinburg, 620016; Moscow, 119991
E. Yu. Prosviryakov
Institute of Engineering Science, Ural Branch
Email: nick@iep.uran.ru
Russian Federation, Ekaterinburg, 620016