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Experiments in Fluids

, Volume 50, Issue 2, pp 285–300 | Cite as

Anatomy of a laminar starting thermal plume at high Prandtl number

  • Anne DavailleEmail author
  • Angela Limare
  • Floriane Touitou
  • Ichiro Kumagai
  • Judith Vatteville
Research Article

Abstract

We present an experimental study of the dynamics of a plume generated from a small heat source in a high Prandtl number fluid with a strongly temperature-dependent viscosity. The velocity field was determined with particle image velocimetry, while the temperature field was measured using differential interferometry and thermochromic liquid crystals. The combination of these different techniques run simultaneously allows us to identify the different stages of plume development, and to compare the positions of key-features of the velocity field (centers of rotation, maximum vorticity locations, stagnation points) respective to the plume thermal anomaly, for Prandtl numbers greater than 103. We further show that the thermal structure of the plume stem is well predicted by the constant viscosity model of Batchelor (Q J R Met Soc 80: 339–358, 1954) for viscosity ratios up to 50.

Keywords

Particle Image Velocimetry Viscosity Ratio Thermal Plume High Prandtl Number Plume Dynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work has benefited from discussions with Neil Ribe, Eric Mittelsteadt, Peter van Keken, and Béatrice Guerrier. It was funded by program DyETI of INSU/CNRS, the French ANR “BEGDY” and the collaboration between IPGP in Paris and ERI in Tokyo. The manuscript has been improved, thanks to the constructive comments of two anonymous reviewers.

Supplementary material

Movie 1: RUN1. On the left side of the screen is the left half of the plume seen by differential interferometry, and on the right side is the other half of the plume followed by the thermochromic liquid crystals isotherms. The total duration of the movie is 600 s (1782 KB)

348_2010_924_MOESM2_ESM.mp4 (1.7 mb)
Movie 2: RUN2. On the left side of the screen, the whole plume is imaged by its thermochromic liquid crystals isotherms, while on the right side, the plume head is followed by differential interferometry. The duration of the movie is 940 s. (1693 KB)

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  • Anne Davaille
    • 1
    Email author
  • Angela Limare
    • 2
  • Floriane Touitou
    • 1
  • Ichiro Kumagai
    • 2
    • 3
  • Judith Vatteville
    • 2
    • 4
  1. 1.Laboratoire FAST, CNRS/UPMC/U-PSudOrsay cedexFrance
  2. 2.Dynamique des Fluides Géologiques, IPGPParis cedex 05France
  3. 3.Division of Energy and Environmental System, School of EngineeringHokkaido UniversityKita-kuJapan
  4. 4.Department of Mechanical EngineeringUniversity of ThessalyLeoforos Athinon, Pedion AreosGreece

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