Ultimate Turbulent Taylor-Couette Flow

Huisman, Sander G.; Gils, Dennis van; Großmann, Siegfried; Sun, Chao; Lohse, Detlef

doi:10.1103/physrevlett.108.024501

Cited by 89 publications

(163 citation statements)

References 32 publications

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“…3) Recent parallels to another fundamental flow system, the turbulent Taylor-Couette flow between two concentric cylinders, can help to understand the ultimate regime in Rayleigh-Bénard convection better [193][194][195][196]. The reason for this hope is that the Taylor-Couette system seems to proceed to the ultimate state in a somehow more direct way since the shear flow is directly generated and not initiated via the buoyancy forces due to temperature differences.…”

Section: Discussionmentioning

confidence: 99%

New perspectives in turbulent Rayleigh-Bénard convection

2012

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Abstract. Recent experimental, numerical and theoretical advances in turbulent Rayleigh-Bénard convection are presented. Particular emphasis is given to the physics and structure of the thermal and velocity boundary layers which play a key role for the better understanding of the turbulent transport of heat and momentum in convection at high and very high Rayleigh numbers. We also discuss important extensions of Rayleigh-Bénard convection such as non-Oberbeck-Boussinesq effects and convection with phase changes.

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Section: Discussionmentioning

confidence: 99%

New perspectives in turbulent Rayleigh-Bénard convection

2012

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“…Therefore, we argue that the local velocity fluctuation measurements used in the Princeton experiments (Ji et al 2006;Schartman et al 2009;Burin et al 2010;Schartman et al 2012) face severe experimental challenges. In fact, Huisman et al (2012) showed that the local angular momentum transport undergoes fluctuations that are two orders of magnitude larger than the mean value. However, once the local angular momentum transport is averaged long enough and over a large enough region, Huisman et al (2012) achieved perfect agreement between the local and the global measurements.…”

Section: Discussionmentioning

confidence: 99%

“…In fact, Huisman et al (2012) showed that the local angular momentum transport undergoes fluctuations that are two orders of magnitude larger than the mean value. However, once the local angular momentum transport is averaged long enough and over a large enough region, Huisman et al (2012) achieved perfect agreement between the local and the global measurements.…”

Section: Discussionmentioning

confidence: 99%

Angular momentum transport and turbulence in laboratory models of Keplerian flows

Paoletti

Gils

Dubrulle

et al. 2012

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We present angular momentum transport (torque) measurements in two recent experimental studies of the turbulent flow between independently rotating cylinders. In addition to these studies, we reanalyze prior torque measurements to expand the range of control parameters for the experimental Taylor-Couette flows. We find that the torque may be described as a product of functions that depend only on the Reynolds number, which describes the turbulent driving intensity, and the rotation number, which characterizes the effects of global rotation. For a given Reynolds number, the global angular momentum transport for Keplerian-like flow profiles is approximately 14% of the maximum achievable transport rate. We estimate that this level of transport would produce an accretion rate ofṀ/Ṁ 0 ∼ 10 −3 in astrophysical disks. We argue that this level of transport from hydrodynamics alone could be significant. We also discuss the possible role of finite-size effects in triggering or sustaining turbulence in our laboratory experiments.

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“…However, both experiments and simulations have been restricted to two radius ratios, namely η = 0.5 and η = 0.714. The same radius ratios were also used for studies carried out on scaling laws of the torque and the "wind" of turbulence at highly turbulent Taylor numbers (Lewis & Swinney 1999;Paoletti & Lathrop 2011;van Gils et al 2011b;Huisman et al 2012b;Merbold et al 2013). Up to now, it is not clear how the radius ratio affects the scaling laws of the system response or the recently found phenomena of optimal transport as a function of T a.…”

Section: Optimal Taylor-couette Flow: Radius Ratio Dependencementioning

confidence: 99%

“…Experimental work continued during the years (Smith & Townsend 1982;Andereck et al 1986;Tong et al 1990;Lathrop et al 1992b,a;Lewis & Swinney 1999;van Gils et al 2011a,b;Paoletti & Lathrop 2011;Huisman et al 2012b) at low and high T a numbers for different ratios of the rotation frequencies a = −ω o /ω i . a is positive for counter-rotation and negative for co-rotation.…”

Section: Optimal Taylor-couette Flow: Radius Ratio Dependencementioning

confidence: 99%

Optimal Taylor–Couette flow: radius ratio dependence

et al. 2014

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Taylor-Couette flow with independently rotating inner (i) & outer (o) cylinders is explored numerically and experimentally to determine the effects of the radius ratio η on the system response. Numerical simulations reach Reynolds numbers of up to Re i = 9.5 · 10 3 and Re o = 5 · 10 3 , corresponding to Taylor numbers of up to T a = 10 8 for four different radius ratios η = r i /r o between 0.5 and 0.909. The experiments, performed in the Twente Turbulent Taylor-Couette (T 3 C) setup, reach Reynolds numbers of up to Re i = 2 · 10 6 and Re o = 1.5 · 10 6 , corresponding to T a = 5 · 10 12 for η = 0.714−0.909. Effective scaling laws for the torque J ω (T a) are found, which for sufficiently large driving T a are independent of the radius ratio η. As previously reported for η = 0.714, optimum transport at a non-zero Rossby number Ro = r i |ω i − ω o |/[2(r o − r i )ω o ] is found in both experiments and numerics. Ro opt is found to depend on the radius ratio and the driving of the system. At a driving in the range between T a ∼ 3 · 10 8 and T a ∼ 10 10 , Ro opt saturates to an asymptotic η-dependent value. Theoretical predictions for the asymptotic value of Ro opt are compared to the experimental results, and found to differ notably. Furthermore, the local angular velocity profiles from experiments and numerics are compared, and a link between a flat bulk profile and optimum transport for all radius ratios is reported.

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Ultimate Turbulent Taylor-Couette Flow

Cited by 89 publications

References 32 publications

New perspectives in turbulent Rayleigh-Bénard convection

New perspectives in turbulent Rayleigh-Bénard convection

Angular momentum transport and turbulence in laboratory models of Keplerian flows

Optimal Taylor–Couette flow: radius ratio dependence

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