Experiments in Fluids

, Volume 42, Issue 2, pp 291–299

On the Lamb vector and the hydrodynamic charge

  • Germain Rousseaux
  • Shahar Seifer
  • Victor Steinberg
  • Alexander Wiebel
Research Article

DOI: 10.1007/s00348-006-0238-2

Cite this article as:
Rousseaux, G., Seifer, S., Steinberg, V. et al. Exp Fluids (2007) 42: 291. doi:10.1007/s00348-006-0238-2

Abstract

This work is an attempt to test the concept of the hydrodynamic charge (analogous to the electric charge in electromagnetism) in the simple case of a coherent structure such as the Burgers vortex. We provide experimental measurements of both the so-called Lamb vector and its divergence (the charge) by two-dimensional particles images velocimetry. In addition, we perform a Helmholtz–Hodge decomposition of the Lamb vector in order to explore its topological features. We compare the charge with the well-known Q-criterion in order to assess its interest in detecting and characterizing coherent structure. Usefulness of this concept in studies of vortex dynamics is demonstrated.

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Germain Rousseaux
    • 1
  • Shahar Seifer
    • 2
  • Victor Steinberg
    • 2
  • Alexander Wiebel
    • 3
  1. 1.Institut Non-Linéaire de Nice, UMR 6618 CNRS-UNICEUniversité de Nice-Sophia AntipolisValbonneFrance
  2. 2.Department of Physics of Complex SystemsWeizmann Institute of ScienceRehovotIsrael
  3. 3.Institut für InformatikUniversität LeipzigLeipzigGermany

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