Primary and secondary Hopf bifurcations in stratified Taylor-Couette flow

被引：16

作者：

Caton, F ^{[1
]}

Janiaud, B ^{[1
]}

Hopfinger, EJ ^{[1
]}

机构：

[1] INPG, UJF, CNRS, LEGI, F-38041 Grenoble 9, France

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.82.4647

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Experimental and theoretical results for the axially, stably stratified Taylor-Couette flow are presented. The primary instability is a direct Hopf bifurcation. It leads the system into an oscillatory state of confined internal waves, in good agreement with linear stability analysis. The secondary bifurcation, which leads the system to a pattern of drifting nonaxisymmetric vortices, is a subcritical Hopf bifurcation. This first experimental evidence of a global bifurcation is thought to be generic to dynamical systems with one destabilizing and one stabilizing control parameter. [S0031-9007(99)09248-0].

引用

页码：4647 / 4650

页数：4

共 21 条

[1]

ANDEREK CN, 1986, J FLUID MECH, V164, P55

[2]

Boubnov B. M., 1997, Fluid Dynamics, V32, P520

[3] STRATIFIED CIRCULAR COUETTE-FLOW - INSTABILITY AND FLOW REGIMES [J].

BOUBNOV, BM ;

GLEDZER, EB ;

HOPFINGER, EJ .

JOURNAL OF FLUID MECHANICS, 1995, 292 :333-358

[4]

CATON F, 1998, THESIS U J FOURIER G

[5]

CATON F, IN PRESS

[6]

Chandrasekhar S., 1981, HYDRODYNAMIC HYDROMA

[7] ON ONSET OF INSTABILITY BY OSCILLATORY MODES IN HYDROMAGNETIC COUETTE FLOW [J].

CHANG, TS ;

SARTORY, WK .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1967, 301 (1467) :451-&

[8] PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].

CROSS, MC ;

HOHENBERG, PC .

REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112

[9]

Dauchot O, 1997, J PHYS II, V7, P371, DOI 10.1051/jp2:1997131

[10] The oscillatory 2D convective states of a binary fluid confined in small cavity [J].

Delouche, E ;

Labrosse, G ;

Tric, E .

JOURNAL DE PHYSIQUE III, 1996, 6 (11) :1527-1534

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