NOVEL BIFURCATION PHENOMENA IN A ROTATING ANNULUS

被引:36
作者
TAVENER, SJ [1 ]
MULLIN, T [1 ]
CLIFFE, KA [1 ]
机构
[1] UNIV OXFORD,CLARENDON LAB,OXFORD,ENGLAND
关键词
D O I
10.1017/S0022112091003129
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present an experimental and numerical study of a novel variant of the Taylor-Couette problem. The ends of the annular region rotate with the inner cylinder producing a strong, symmetric forcing of the flow. One consequence of the imposed forcing is that asymmetric flows are more readily found than in the standard stationary-ends case. This has led to the discovery of several new and interesting bifurcation phenomena, including codimension-two points of a type normally associated with chaos in finite-dimensional dynamical systems.
引用
收藏
页码:483 / 497
页数:15
相关论文
共 43 条
[11]  
CLIFFE KA, 1986, NUMERICAL METHODS FL, V2, P155
[12]  
DANGELMAYR G, 1983, P LOND MATH SOC, V46, P517
[13]   ON INSTABILITY OF TAYLOR VORTICES [J].
DAVEY, A ;
DIPRIMA, RC ;
STUART, JT .
JOURNAL OF FLUID MECHANICS, 1968, 31 :17-&
[14]  
DIPRIMA RC, 1971, 1969 P IUTAM S INST, P51
[15]   SYMMETRY AND STABILITY IN TAYLOR-COUETTE FLOW [J].
GOLUBITSKY, M ;
STEWART, I .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (02) :249-288
[16]   PATTERN-FORMATION AND BISTABILITY IN FLOW BETWEEN COUNTERROTATING CYLINDERS [J].
GOLUBITSKY, M ;
LANGFORD, WF .
PHYSICA D, 1988, 32 (03) :362-392
[17]  
Golubitsky M. S., 1985, SINGULARITIES GROUPS
[18]   THE CALCULATION OF HOPF POINTS BY A DIRECT METHOD [J].
GRIEWANK, A ;
REDDIEN, G .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1983, 3 (03) :295-303
[19]  
Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2