Wave Equation for Sound in Fluids with Vorticity

Details Wave Equation for Sound in Fluids with Vorticity Wave Equation for Sound in Fluids with Vorticity

2001-06-13

arxiv.org/abs/cond-mat/0106255v1

Physica D 191 (2004) 121-136

Physics

Condensed Matter

RevTeX, 27pages

Scientific paper

10.1016/j.physd.2003.11.007

We use Clebsch potentials and an action principle to derive a closed system of gauge invariant equations for sound superposed on a general background flow. Our system reduces to the Unruh (1981) and Pierce (1990) wave equations when the flow is irrotational, or slowly varying. We illustrate our formalism by applying it to waves propagating in a uniformly rotating fluid where the sound modes hybridize with inertial waves.

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