Transient turbulence in Taylor-Couette flow

Borrero-Echeverry, Daniel; Schatz, Michael F.; Tagg, Randall

doi:10.1103/physreve.81.025301

Cited by 66 publications

(89 citation statements)

References 28 publications

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“…A scaling approach was proposed to accommodate for the effects of geometrical properties on the lifetime. It was demonstrated that after scaling, the mean characteristic lifetimes coincided with those of the previous study [3]. Hence, in addition to Reynolds number, the spot decay is a function aspect ratio and radius ratio.…”

Section: Resultssupporting

confidence: 59%

“…Two non-dimensional numbers are defined (as summarised in Table 1): the aspect ratio = L/d and the radius ratio η = r i /r o . Consistent with the previous study [3], the Reynolds number is described as Re = r o o d/ν, with o and ν as the angular velocity of the outer cylinder and the kinematic viscosity of fluid respectively.…”

Section: Geometry Of Setupmentioning

confidence: 63%

“…The lifetime experiment was repeated 100 times for each Reynolds number. 3 The cumulative probability distribution (that is the probability of the existence of the spot with time) is illustrated in Fig. 6 for several Reynolds numbers where all curves show a salient feature: after an initial time during which the spot forms, the distribution has an exponentially decaying tail.…”

Section: Spot Lifetimementioning

confidence: 99%

“…There is only one available study of the spot lifetime in a TC setup [3] in which a finite lifetime was reported. However, no details about the effects of parameters such as perturbation mechanisms (global or local), geometrical properties, and boundary conditions were provided.…”

Section: Introductionmentioning

confidence: 99%

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Turbulent Spot in Linearly Stable Taylor Couette Flow

Alidai

Greidanus

Delfos

et al. 2015

Flow Turbulence Combust

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The transition from the laminar to the turbulent regime in linearly stable shear flows, for example, pipe and plane Couette flows, occurs abruptly with no precursor. The evolution of turbulent spots has been studied to better understand the dynamics of this transition and the onset of turbulence. These studies have mostly focused on pipe flows for which a finite lifetime of spots was proven. The same conclusion was drawn in the only available study performed in a Taylor Couette setup. Here, the spot lifetime is measured in a different size TC setup. It is shown that the lifetime is indeed finite and also very sensitive to boundary conditions, but not much to perturbation mechanisms. A scaling approach is provided which suggests in addition to the Reynolds number, the aspect and radius ratios are influential parameters on the lifetime. It is found that the spot size varies during its lifetime and increases with the Reynolds number that confirms the rise in turbulence proliferation by approaching the transitional point.

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Section: Resultssupporting

confidence: 59%

Section: Geometry Of Setupmentioning

confidence: 63%

Section: Spot Lifetimementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Turbulent Spot in Linearly Stable Taylor Couette Flow

Alidai

Greidanus

Delfos

et al. 2015

Flow Turbulence Combust

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“…In some other cases turbulence occurs well below the critical point given by linear instability analysis, such as in flows through channels. Moreover, it has been shown for these shear flows that the turbulent state has unstable characteristics [3][4][5][6][7] and that localized turbulent patches eventually decay back to laminar. That at higher Reynolds numbers turbulence is still the rule rather than the exception is due to its invasive nature which causes laminar gaps to be quickly consumed by adjacent turbulent domains [8,9].…”

mentioning

confidence: 99%

Edge State in Pipe Flow Experiments

et al. 2012

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Recent numerical studies suggest that in pipe and related shear flows, the region of phase space separating laminar from turbulent motion is organized by a chaotic attractor, called an edge state, which mediates the transition process. We here confirm the existence of the edge state in laboratory experiments. We observe that it governs the dynamics during the decay of turbulence underlining its potential relevance for turbulence control. In addition we unveil two unstable traveling wave solutions underlying the experimental flow fields. This observation corroborates earlier suggestions that unstable solutions organize turbulence and its stability border. DOI: 10.1103/PhysRevLett.108.214502 PACS numbers: 47.27.Cn, 47.27.NÀ, 47.52.+j In most situations of practical interest fluid flows are turbulent. Often transition to turbulence occurs despite the linear stability of the laminar state [1,2] such as in flows through pipes, ducts or even in astrophysical Keplerian flows. In some other cases turbulence occurs well below the critical point given by linear instability analysis, such as in flows through channels. Moreover, it has been shown for these shear flows that the turbulent state has unstable characteristics [3][4][5][6][7] and that localized turbulent patches eventually decay back to laminar. That at higher Reynolds numbers turbulence is still the rule rather than the exception is due to its invasive nature which causes laminar gaps to be quickly consumed by adjacent turbulent domains [8,9]. The observation that localized turbulent domains are intrinsically unstable [3,4,10,11] offers prospects to control and relaminarize flows [12]. Such potential methods are of great practical interest because the drag in turbulent flows is significantly larger and this causes higher energy consumption and limits transport rates.From a dynamical point of view the stability boundary separating laminar from turbulent motion plays a key role in how flows transit to and from turbulence. This laminarturbulent boundary is highly convoluted and most likely possesses a fractal structure as shown in simulations [13]. Some signatures of this have also been observed in experiments [14]. Hence its complexity puts a complete description for transition in shear flows beyond reach in the foreseeable future. However, using a tracking method first proposed and applied to plane Poiseuille flow [15,16], it has been possible to compute phase-space trajectories on the laminar-turbulent boundary of pipe flow [17,18]. Surprisingly, the dynamics at this boundary, or edge, are organized by a single state: This so-called ''edge state'' [13] is a chaotic attractor within the edge, whereas in the full phase-space it is a repeller with a single unstable direction pointing towards turbulence on one side and towards laminar flow on the other.According to dynamical systems theory the disordered dynamics of turbulence as well as of its edge are organized around unstable solutions of the Navier-Stokes equations [19]. For pipe flow mainly traveling wave s...

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