Persistent turbulence in annealed plane Couette flow

Schmiegel, Armin; Eckhardt, Bruno

doi:10.1209/epl/i2000-00507-2

Cited by 19 publications

(17 citation statements)

References 15 publications

(22 reference statements)

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“…Here one expects states with complex time-dependence, but perhaps more than that, since the profusion of unstable states suggests that the system may wander among these states, exhibiting very long transients even when stable states are available. This type of scenario resembles that discussed recently by Schmiegel and Eckhardt [52,53] in the context of the transition to turbulence in plane Couette flow. At larger α the drift associated with finite inclination starts to dominate the dynamics, and the primary branches become supercritical with the resulting solutions resembling the traveling wavetrains familiar from the Kuramoto-Sivashinsky equation.…”

Section: Discussionsupporting

confidence: 73%

Thin liquid films on a slightly inclined heated plate

Thiele

Knobloch

2004

Physica D: Nonlinear Phenomena

113

121

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The behavior of a thin liquid film on a uniformly heated substrate is considered. When the substrate is horizontal and the Marangoni number sufficiently large the film breaks up into a periodic array of drops. When the substrate is slightly inclined this drop-like state slides down the substrate. The relation between these states is discussed and their stability properties with respect to longitudinal perturbations are determined. The results shed light on the multiplicity of states accessible to systems of this type and on the possible transitions among them.

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Section: Discussionsupporting

confidence: 73%

Thin liquid films on a slightly inclined heated plate

Thiele

Knobloch

2004

Physica D: Nonlinear Phenomena

113

121

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“…IV A͒ by ''quenching'' of a turbulent flow. 39,40 That trial-and-error procedure lead them to settle on the parameters (␣,␥) Ϸ(1.14,1.67), used by Kawahara and Kida. The present study, and the earlier work of Clever and Busse, 27 indicates that the 3-D steady states favor ␥/␣Ϸ2.…”

Section: Statistics Of No-slip Ecsmentioning

confidence: 99%

Homotopy of exact coherent structures in plane shear flows

2003

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Three-dimensional steady states and traveling wave solutions of the Navier-Stokes equations are computed in plane Couette and Poiseuille flows with both free-slip and no-slip boundary conditions. They are calculated using Newton's method by continuation of solutions that bifurcate from a two-dimensional streaky flow then by smooth transformation ͑homotopy͒ from Couette to Poiseuille flow and from free-slip to no-slip boundary conditions. The structural and statistical connections between these solutions and turbulent flows are illustrated. Parametric studies are performed and the parameters leading to the lowest onset Reynolds numbers are determined. In all cases, the lowest onset Reynolds number corresponds to spanwise periods of about 100 wall units. In particular, the rigid-free plane Poiseuille flow traveling wave arises at Re ϭ44.2 for L x ϩ ϭ273.7 and L z ϩ ϭ105.5, in excellent agreement with observations of the streak spacing. A simple one-dimensional map is proposed to illustrate the possible nature of the ''hard'' transition to shear turbulence and connections with the unstable exact coherent structures.

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“…Some of the latest experimental results are due to Prigent et al (2003) who observed oblique turbulent stripes, closely related to the ''spiral'' or ''barbers's pole'' turbulence in Taylor Couette flow when reducing Re starting from a turbulent state. This pattern is the subject of a numerical analysis by Barkley and Tuckerman (2007), while simulations by Schmiegel and Eckhardt (2000) suggest that turbulence might persist down to Re & 280 if the Reynolds number is reduced carefully. All the experiments reported in the literature so far utilize flow visualizations or point measurements by Laser Doppler velocimetry or hot wire anemometry.…”

Section: Introductionmentioning

confidence: 99%

3D-PTV measurements in a plane Couette flow

et al. 2012

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Genuine plane Couette flow is hard to realize experimentally, and no applications of modern spatially resolving measurement techniques have been reported for this flow so far. In order to resolve this shortcoming, we designed and built a new experimental facility and present our first results here. Our setup enables us to access the flow via 3D particle tracking velocimetry and therefore to obtain truly three-dimensional flow fields for the first time experimentally in plane Couette flow. Results are analyzed in terms of basic flow properties, and a clear distinction of flow regimes (laminar for Re \ 320, transitional for 320 \ Re \ 400, and turbulent when Re [ 400) could be made. Comparison with DNS data shows good agreement in the turbulent regime and builds trust in our data. Furthermore, vortical coherent structures are studied in detail with the additional help of kalliroscope imaging, and the typical vortex spacing is determined to be roughly one gap width. As a noteworthy result, we find that the onset of the turbulent regime coincides with the range of Reynolds numbers at which a distance of 100 wall units is comparable to the gap width.

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Persistent turbulence in annealed plane Couette flow

Cited by 19 publications

References 15 publications

Thin liquid films on a slightly inclined heated plate

Thin liquid films on a slightly inclined heated plate

Homotopy of exact coherent structures in plane shear flows

3D-PTV measurements in a plane Couette flow

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