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.

引用

页码：762 / 768

页数：7

共 50 条

[1] NEW CLASS OF EXACT SOLUTIONS TO NAVIER-STOKES EQUATIONS
GUILLOUD, JC
ARNAULT, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (12): : 517 - &
[2] ON A CLASS OF EXACT SOLUTIONS OF NAVIER-STOKES EQUATIONS
WANG, CY
JOURNAL OF APPLIED MECHANICS, 1966, 33 (03): : 696 - &
[3] A CLASS OF EXACT-SOLUTIONS TO THE NAVIER-STOKES EQUATIONS
RAJAGOPAL, KR
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1984, 22 (04) : 451 - 458
[4] A CLASS OF EXACT SOLUTIONS OF MAGNETOHYDRODYNAMIC NAVIER-STOKES EQUATIONS
WU, CS
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1961, 14 (01): : 1 - &
[5] Exact solutions of the Navier-Stokes equations
Ross, RA
ADVANCES IN FLUID MECHANICS III, 2000, 26 : 421 - 424
[6] A new family of exact solutions of Navier-Stokes equations
V. V. Kuznetsov
V. V. Pukhnachev
Doklady Physics, 2009, 54 : 126 - 130
[7] NEW FAMILY OF EXACT SOLUTIONS TO NAVIER-STOKES EQUATIONS
GUILLOUD, JC
ARNAULT, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (13): : 586 - &
[8] A new family of exact solutions of Navier-Stokes equations
Kuznetsov, V. V.
Pukhnachev, V. V.
DOKLADY PHYSICS, 2009, 54 (03) : 126 - 130
[9] New Exact Axisymmetric Solutions to the Navier-Stokes Equations
Bogoyavlenskij, Oleg
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2020, 75 (01): : 29 - 42
[10] A NEW CLASS OF UNSTEADY SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
THOMAS, JP
MECHANICS RESEARCH COMMUNICATIONS, 1980, 7 (03) : 135 - 140

← 1 2 3 4 5 →