Scale invariance at the onset of turbulence in couette flow

L. Shi, M. Avila, B. Hof, Physical Review Letters 110 (2013).


Journal Article | Published | English
Department
Abstract
Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer, and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the stripe-normal direction they remain interspersed by laminar fluid. We carry out direct numerical simulations in a long narrow domain and observe that individual turbulent stripes are transient. In agreement with recent observations in pipe flow, we find that turbulence becomes sustained at a distinct critical point once the spatial proliferation outweighs the inherent decaying process. By resolving the asymptotic size distributions close to criticality we can for the first time demonstrate scale invariance at the onset of turbulence.
Publishing Year
Date Published
2013-05-13
Journal Title
Physical Review Letters
Volume
110
Issue
20
Article Number
204502
IST-REx-ID

Cite this

Shi L, Avila M, Hof B. Scale invariance at the onset of turbulence in couette flow. Physical Review Letters. 2013;110(20). doi:10.1103/PhysRevLett.110.204502
Shi, L., Avila, M., & Hof, B. (2013). Scale invariance at the onset of turbulence in couette flow. Physical Review Letters, 110(20). https://doi.org/10.1103/PhysRevLett.110.204502
Shi, Liang, Marc Avila, and Björn Hof. “Scale Invariance at the Onset of Turbulence in Couette Flow.” Physical Review Letters 110, no. 20 (2013). https://doi.org/10.1103/PhysRevLett.110.204502.
L. Shi, M. Avila, and B. Hof, “Scale invariance at the onset of turbulence in couette flow,” Physical Review Letters, vol. 110, no. 20, 2013.
Shi L, Avila M, Hof B. 2013. Scale invariance at the onset of turbulence in couette flow. Physical Review Letters. 110(20).
Shi, Liang, et al. “Scale Invariance at the Onset of Turbulence in Couette Flow.” Physical Review Letters, vol. 110, no. 20, 204502, American Physical Society, 2013, doi:10.1103/PhysRevLett.110.204502.

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