Wave Equation for Sound in Fluids with Vorticity
Condensed Matter
2011-10-18 v1 General Relativity and Quantum Cosmology
Fluid Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0106255,
title = {Wave Equation for Sound in Fluids with Vorticity},
author = {Santiago Esteban Perez Bergliaffa and Katrina Hibberd and Michael Stone and Matt Visser},
journal= {arXiv preprint arXiv:cond-mat/0106255},
year = {2011}
}
Comments
RevTeX, 27pages