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Exact Solutions for Layered Three-Dimensional Nonstationary Isobaric Flows of a Viscous Incompressible Fluid
Journal of Applied Mechanics and Technical Physics ( IF 0.6 ) Pub Date : 2020-02-05 , DOI: 10.1134/s0021894419060075
N. M. Zubarev , E. Yu. Prosviryakov

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.

中文翻译:

粘性不可压缩流体的三维非稳态等压分层流动的精确解

本文描述了一个超定方程组,该方程组描述了a的三维分层非稳态流动。粘性不可压缩流体 恒压。研究该系统的兼容性可以将其简化为速度分量的耦合拟线性抛物方程。简化的方程允许构造几类精确解。特别地,获得运动方程的多项式和空间局部自相似解。研究了向理想流体极限的过渡。
更新日期:2020-02-05
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