Transition to weak turbulence via spatiotemporal intermittency in the Taylor-Dean system

Michael M. Degen, Innocent Mutabazi, and C. David Andereck
Phys. Rev. E 53, 3495 – Published 1 April 1996
PDFExport Citation

Abstract

The transition to weak turbulence via spatiotemporal intermittency has been studied in the Taylor-Dean system when the inner cylinder is fixed and only the outer cylinder is rotating. The spatiotemporal intermittency regime is characterized by the coexistence of laminar domains and turbulent patches for the same value of the control parameter. The transition is supercritical, but a particular boundary condition induces an imperfection. Statistical analysis of the spatiotemporal intermittency shows that the distribution of laminar domains by widths follows a power law decay near the onset, while it is exponential for higher values of the control parameter. The exponential distribution of the laminar domains has a definite threshold near which the correlation lengths and correlation times of laminar and turbulent domains diverge, reinforcing the analogy with second-order phase transitions. The exponents measured near the critical points in this experiment differ from those observed in other systems, thus showing that the spatiotemporal intermittency is not universal in character. © 1996 The American Physical Society.

  • Received 31 August 1995

DOI:https://doi.org/10.1103/PhysRevE.53.3495

©1996 American Physical Society

Authors & Affiliations

Michael M. Degen

  • Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210

Innocent Mutabazi

  • Groupe d’Energétique et de Mécanique, Faculté des Sciences et Techniques, Université du Havre, Boîte Postale 540, F-76058 Le Havre France

C. David Andereck

  • Department of Physics, The Ohio State University, 174 West 18th Avenue, Columbus, Ohio 43210

References (Subscription Required)

Click to Expand
Issue

Vol. 53, Iss. 4 — April 1996

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×