Wave Equation for Sound in Fluids with Vorticity

Katrina Hibberd; Matt Visser; Michael Stone; Santiago Esteban Perez Bergliaffa

Wave Equation for Sound in Fluids with Vorticity

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arxiv cond-mat/0106255 v1 pith:VXKMYXTH submitted 2001-06-13 cond-mat gr-qcphysics.flu-dyn

Wave Equation for Sound in Fluids with Vorticity

Santiago Esteban Perez Bergliaffa , Katrina Hibberd , Michael Stone , Matt Visser This is my paper

classification cond-mat gr-qcphysics.flu-dyn

keywords soundequationsflowsystemwavewavesactionapplying

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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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