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Physics of Fluids / Volume 23 / Issue 11 / ARTICLES / Turbulent Flows

Phys. Fluids 23, 115101 (2011); http://dx.doi.org/10.1063/1.3657086 (6 pages)

Spatiotemporal persistence of spectral fluxes in two-dimensional weak turbulence

Douglas H. Kelley and Nicholas T. Ouellette

Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA

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(Received 20 June 2011; accepted 5 October 2011; published online 2 November 2011)

Using a recently developed filtering technique, we study the spatiotemporal properties of the scale-to-scale fluxes of energy and enstrophy in a weakly turbulent experimental quasi-two-dimensional flow. Although these spectral properties vary in time and space, we show that they persist along the Lagrangian trajectories of fluid elements for times that can be nearly as long as the correlation time of the velocity field itself. Additionally, we show that at small scales, the spectral energy flux persists longest for fluid elements in strongly hyperbolic regions of the flow, whereas at large scales it persists in strongly elliptic regions.

© 2011 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. METHODS
    1. Experimental apparatus and flow measurement
    2. Spatially resolved spectral fluxes
  3. RESULTS
  4. DISCUSSION AND CONCLUSIONS

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KEYWORDS and PACS

Keywords

flow visualisation, Navier-Stokes equations, nonlinear dynamical systems, turbulence, vortices

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3657086

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
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