On the Lamb Vector and the Hydrodynamic Charge

Details On the Lamb Vector and the Hydrodynamic Charge On the Lamb Vector and the Hydrodynamic Charge

2005-12-19

arxiv.org/abs/physics/0512165v2

Experiments in Fluids 42 (2007) p. 291-299

Physics

Classical Physics

16 pages

Scientific paper

10.1007/s00348-006-0238-2

This work is an attempt to test the concept of 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 Particle Image 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.

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