dorsal/arxiv
View SchemaOn the Lamb Vector and the Hydrodynamic Charge
| Authors | Germain Rousseaux, Shahar Seifer, Victor Steinberg, Alexander Wiebel |
|---|---|
| Categories | |
| ArXiv ID | physics/0512165 |
| URL | https://arxiv.org/abs/physics/0512165 |
| DOI | 10.1007/s00348-006-0238-2 |
| Journal | Experiments in Fluids 42 (2007) p. 291-299 |
Abstract
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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"abstract": "This work is an attempt to test the concept of hydrodynamic charge (analogous\nto the electric charge in Electromagnetism) in the simple case of a coherent\nstructure such as the Burgers vortex. We provide experimental measurements of\nboth the so-called Lamb vector and its divergence (the charge) by\ntwo-dimensional Particle Image Velocimetry. In addition, we perform a\nHelmholtz-Hodge decomposition of the Lamb vector in order to explore its\ntopological features. We compare the charge with the well-known Q criterion in\norder to assess its interest in detecting and characterizing coherent\nstructure. Usefulness of this concept in studies of vortex dynamics is\ndemonstrated.",
"arxiv_id": "physics/0512165",
"authors": [
"Germain Rousseaux",
"Shahar Seifer",
"Victor Steinberg",
"Alexander Wiebel"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1007/s00348-006-0238-2",
"journal_ref": "Experiments in Fluids 42 (2007) p. 291-299",
"title": "On the Lamb Vector and the Hydrodynamic Charge",
"url": "https://arxiv.org/abs/physics/0512165"
},
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