On the Lamb vector and the hydrodynamic charge

G Rousseaux, S Seifer, V Steinberg, A Wiebel - Experiments in fluids, 2007 - Springer
Experiments in fluids, 2007Springer
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 …
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.
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