Vertical Taylor-Couette flow with free surface at small aspect ratio

被引：10

作者：

Watanabe, T. ^{[1
]}

Toya, Y. ^{[2
]}

机构：

[1] Nagoya Univ, Grad Sch Informat Sci, Nagoya, Aichi 4648601, Japan

[2] Nagano Natl Coll Technol, Dept Mech Engn, Nagano 3818550, Japan

来源：

ACTA MECHANICA | 2012年 / 223卷 / 02期

关键词：

VORTEX FLOW; BIFURCATION; STABILITY;

D O I：

10.1007/s00707-011-0569-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The free surface flow between two concentric cylinders with vertical axes is investigated using numerical and experimental approaches. The bottom end wall of the cylinders and the outer cylinder are stationary and fixed, and the inner cylinder is allowed to rotate. In such a case, an odd number of Taylor vortices is usually formed (normal mode). However, we found that anomalous modes with outer flow near the bottom end wall or inner flow at the free surface appear in some conditions. Further, we determined bifurcation diagrams between the normal three-cell mode and normal one-cell mode and between the normal five-cell mode and the normal three-cell mode.

引用

页码：347 / 353

页数：7

共 11 条

[1] Mode competition of rotating waves in reflection-symmetric Taylor-Couette flow [J].

Abshagen, J ;

Lopez, JM ;

Marques, F ;

Pfister, G .

JOURNAL OF FLUID MECHANICS, 2005, 540 :269-299

[2]

Ammar M, 2005, CAN J CHEM ENG, V83, P652

[3]

Ammar M., 2003, COMPTES REFUNDS MECA, V331, P245

[4]

BATCHELOR GK, 1967, INTRO FLUID DYNAMICS, pCH1

[5] APPLICATIONS OF LERAY-SCHAUDER DEGREE THEORY TO PROBLEMS OF HYDRODYNAMIC STABILITY [J].

BENJAMIN, TB .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (MAR) :373-392

[6] BIFURCATION PHENOMENA IN STEADY FLOWS OF A VISCOUS-FLUID .1. THEORY [J].

BENJAMIN, TB .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 359 (1696) :1-26

[7]

Koschmieder E.L., 1993, Benard Cells and Taylor Vortices

[8] Boundary limitation of wave numbers in Taylor-vortex flow [J].

Linek, M ;

Ahlers, G .

PHYSICAL REVIEW E, 1998, 58 (03) :3168-3174

[9] Stability of a viscous liquid contained between two rotating cylinders [J].

Taylor, GI .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL OR PHYSICAL CHARACTER, 1923, 223 :289-343

[10] AN EXPERIMENT ON A TAYLOR VORTEX FLOW IN A GAP WITH A SMALL ASPECT RATIO BIFURCATION OF FLOWS IN AN ASYMMETRIC SYSTEM [J].

TOYA, Y ;

NAKAMURA, I ;

YAMASHITA, S ;

UEKI, Y .

ACTA MECHANICA, 1994, 102 (1-4) :137-148

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