A new class of non-helical exact solutions of the Navier-Stokes equations

被引：3
|
作者：
Kovalev, V. P. [1 ]
Prosviryakov, E. Yu [2 ]
机构：
[1] Natl Res Univ, Moscow Inst Phys & Technol, 9 Inst Per, Dolgoprudnyi 141701, Moscow Region, Russia
[2] Russian Acad Sci, Inst Engn Sci, Urals Branch, 34 Komsomolskaya St, Ekaterinburg 620049, Russia
来源：
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI | 2020年 / 24卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
Navier-Stokes equation; exact solution; Trkal's method; eigen-functions of the Laplacian; non-helical flows; blow-up regimes; VORTEX LINES; DEPENDENCE; VELOCITY; FLUID;
D O I：
10.14498/vsgtu1814
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The paper presents a new class of exact solutions for the Navier-Stokes equations. These solutions describe unsteady three-dimensional in velocities and two-dimensional in coordinates for a viscous incompressible fluid flow. The procedure for constructing an exact solution generalizes Trkal's method proposed for studying screw flows. The new class of exact solutions allows to describe non-hecical flows (the velocity vector forms a nonzero angle with the vorticity vector) and fluid flows existing in a finite time.
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页码：762 / 768
页数：7
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