Exploring the phase space of multiple states in highly turbulent Taylor-Couette flow

Roeland van der Veen, Sander Gerard Huisman, O.Y. Dung, H.L. Tang, Chao Sun, Detlef Lohse

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Abstract

We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of Ta=10 11 to 9×10 12 by measuring the global torques and the local velocities while probing the phase space spanned by the rotation rates of the inner and outer cylinders. The multiple states are found to be very robust and are expected to persist beyond Ta=10 13 . The rotation ratio is the parameter that most strongly controls the transitions between the flow states; the transitional values only weakly depend on the Taylor number. However, complex paths in the phase space are necessary to unlock the full region of multiple states. By mapping the flow structures for various rotation ratios in a Taylor-Couette setup with an equal radius ratio but a larger aspect ratio than before, multiple states are again observed. Here they are characterized by even richer roll structure phenomena, including an antisymmetrical roll state.
Original languageEnglish
Article number024401
Pages (from-to)024401-
Number of pages14
JournalPhysical review fluids
Volume1
Issue number024401
DOIs
Publication statusPublished - 2016

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Taylor-Couette Flow
Turbulent Flow
Phase Space
Flow structure
Aspect Ratio
Torque
Aspect ratio
Radius
Path
Necessary
Range of data

Keywords

  • IR-100773
  • METIS-317330

Cite this

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title = "Exploring the phase space of multiple states in highly turbulent Taylor-Couette flow",
abstract = "We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of Ta=10 11 to 9×10 12 by measuring the global torques and the local velocities while probing the phase space spanned by the rotation rates of the inner and outer cylinders. The multiple states are found to be very robust and are expected to persist beyond Ta=10 13 . The rotation ratio is the parameter that most strongly controls the transitions between the flow states; the transitional values only weakly depend on the Taylor number. However, complex paths in the phase space are necessary to unlock the full region of multiple states. By mapping the flow structures for various rotation ratios in a Taylor-Couette setup with an equal radius ratio but a larger aspect ratio than before, multiple states are again observed. Here they are characterized by even richer roll structure phenomena, including an antisymmetrical roll state.",
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Exploring the phase space of multiple states in highly turbulent Taylor-Couette flow. / van der Veen, Roeland; Huisman, Sander Gerard; Dung, O.Y.; Tang, H.L.; Sun, Chao; Lohse, Detlef.

In: Physical review fluids, Vol. 1, No. 024401, 024401, 2016, p. 024401-.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Exploring the phase space of multiple states in highly turbulent Taylor-Couette flow

AU - van der Veen, Roeland

AU - Huisman, Sander Gerard

AU - Dung, O.Y.

AU - Tang, H.L.

AU - Sun, Chao

AU - Lohse, Detlef

PY - 2016

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N2 - We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of Ta=10 11 to 9×10 12 by measuring the global torques and the local velocities while probing the phase space spanned by the rotation rates of the inner and outer cylinders. The multiple states are found to be very robust and are expected to persist beyond Ta=10 13 . The rotation ratio is the parameter that most strongly controls the transitions between the flow states; the transitional values only weakly depend on the Taylor number. However, complex paths in the phase space are necessary to unlock the full region of multiple states. By mapping the flow structures for various rotation ratios in a Taylor-Couette setup with an equal radius ratio but a larger aspect ratio than before, multiple states are again observed. Here they are characterized by even richer roll structure phenomena, including an antisymmetrical roll state.

AB - We investigate the existence of multiple turbulent states in highly turbulent Taylor-Couette flow in the range of Ta=10 11 to 9×10 12 by measuring the global torques and the local velocities while probing the phase space spanned by the rotation rates of the inner and outer cylinders. The multiple states are found to be very robust and are expected to persist beyond Ta=10 13 . The rotation ratio is the parameter that most strongly controls the transitions between the flow states; the transitional values only weakly depend on the Taylor number. However, complex paths in the phase space are necessary to unlock the full region of multiple states. By mapping the flow structures for various rotation ratios in a Taylor-Couette setup with an equal radius ratio but a larger aspect ratio than before, multiple states are again observed. Here they are characterized by even richer roll structure phenomena, including an antisymmetrical roll state.

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