Streaks to Rings to Vortex Grids: Generic Patterns in Transient Convective Spin Up of an Evaporating Fluid

J.-Q. Zhong, M. D. Patterson, and J. S. Wettlaufer
Phys. Rev. Lett. 105, 044504 – Published 23 July 2010
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Abstract

We observe the transient formation of a ringed pattern state during spin up of an evaporating fluid on a time scale of order a few Ekman spin up times. The ringed state is probed using infrared thermometry and particle image velocimetry and it is demonstrated to be a consequence of the transient balance between Coriolis and viscous forces which dominate inertia, each of which are extracted from the measured velocity field. The breakdown of the ringed state is quantified in terms of the antiphasing of these force components which drives a Kelvin-Helmholtz instability and we show that the resulting vortex grid spacing scales with the ring wavelength. This is the fundamental route to quasi-two-dimensional turbulent vortex flow and thus may have implications in astrophysics and geophysics wherein rotating convection is ubiquitous.

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  • Received 21 January 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.044504

©2010 American Physical Society

Authors & Affiliations

J.-Q. Zhong1, M. D. Patterson1,4, and J. S. Wettlaufer1,2,3

  • 1Department of Geology & Geophysics, Yale University, New Haven, Connecticut 06520-8109, USA
  • 2Department of Physics, Yale University, New Haven, Connecticut 06520-8109, USA
  • 3Program in Applied Mathematics, Yale University, New Haven, Connecticut 06520-8109, USA
  • 4Faculty of Engineering & Design, University of Bath, Bath, BA2 7AY, United Kingdom

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Issue

Vol. 105, Iss. 4 — 23 July 2010

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