A novel subcritical transition to turbulence in Taylor-Couette flow with counter-rotating cylinders

被引:10
作者
Crowley, Christopher J. [1 ,2 ]
Krygier, Michael C. [1 ,2 ]
Borrero-Echeverry, Daniel [3 ]
Grigoriev, Roman O. [1 ,2 ]
Schatz, Michael F. [1 ,2 ]
机构
[1] Georgia Inst Technol, Ctr Nonlinear Sci, Atlanta, GA 30332 USA
[2] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA
[3] Willamette Univ, Dept Phys, Salem, OR 97301 USA
关键词
transition to turbulence; bifurcation; Taylor-Couette flow; BIFURCATION PHENOMENA; FLUID FRICTION; STABILITY; INSTABILITY; REGIMES;
D O I
10.1017/jfm.2020.177
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The transition to turbulence in Taylor-Couette flow often occurs via a sequence of supercritical bifurcations to progressively more complex, yet stable, flows. We describe a subcritical laminar-turbulent transition in the counter-rotating regime mediated by a transient intermediate state in a system with an axial aspect ratio of and a radius ratio of . In this regime, flow visualization experiments and numerical simulations indicate the intermediate state corresponds to an aperiodic flow featuring interpenetrating spirals. Furthermore, the reverse transition out of turbulence leads first to the same intermediate state, which is now stable, before returning to an azimuthally symmetric laminar flow. Time-resolved tomographic particle image velocimetry is used to characterize the experimental flows; these measurements compare favourably to direct numerical simulations with axial boundary conditions matching those of the experiments.
引用
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页数:19
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共 54 条
[1]   FLOW REGIMES IN A CIRCULAR COUETTE SYSTEM WITH INDEPENDENTLY ROTATING CYLINDERS [J].
ANDERECK, CD ;
LIU, SS ;
SWINNEY, HL .
JOURNAL OF FLUID MECHANICS, 1986, 164 :155-183
[2]   High-precision Taylor-Couette experiment to study subcritical transitions and the role of boundary conditions and size effects [J].
Avila, Kerstin ;
Hof, Bjoern .
REVIEW OF SCIENTIFIC INSTRUMENTS, 2013, 84 (06)
[3]   The Onset of Turbulence in Pipe Flow [J].
Avila, Kerstin ;
Moxey, David ;
de Lozar, Alberto ;
Avila, Marc ;
Barkley, Dwight ;
Hof, Bjorn .
SCIENCE, 2011, 333 (6039) :192-196
[4]   Stability and Angular-Momentum Transport of Fluid Flows between Corotating Cylinders [J].
Avila, M. .
PHYSICAL REVIEW LETTERS, 2012, 108 (12)
[5]   Global endwall effects on centrifugally stable flows [J].
Avila, Marc ;
Grimes, Matt ;
Lopez, Juan M. ;
Marques, Francisco .
PHYSICS OF FLUIDS, 2008, 20 (10)
[6]   Aqueous ammonium thiocyanate solutions as refractive index-matching fluids with low density and viscosity [J].
Borrero-Echeverry, D. ;
Morrison, B. C. A. .
EXPERIMENTS IN FLUIDS, 2016, 57 (07)
[7]   Transient turbulence in Taylor-Couette flow [J].
Borrero-Echeverry, Daniel ;
Schatz, Michael F. ;
Tagg, Randall .
PHYSICAL REVIEW E, 2010, 81 (02)
[8]   Rheoscopic fluids in a post-Kalliroscope world [J].
Borrero-Echeyerry, Daniel ;
Crowley, Christopher J. ;
Riddick, Tyler P. .
PHYSICS OF FLUIDS, 2018, 30 (08)
[9]   Statistical analysis of the transition to turbulence in plane Couette flow [J].
Bottin, S ;
Chate, H .
EUROPEAN PHYSICAL JOURNAL B, 1998, 6 (01) :143-155
[10]   Subcritical transition and spiral turbulence in circular Couette flow [J].
Burin, M. J. ;
Czarnocki, C. J. .
JOURNAL OF FLUID MECHANICS, 2012, 709 :106-122