Acoustic Energy and Momentum in a Moving Medium
Abstract
By exploiting the mathematical analogy between the propagation of sound in a non-homogeneous potential flow and the propagation of a scalar field in a background gravitational field, various wave ``energy'' and wave ``momentum'' conservation laws are established in a systematic manner. In particular the acoustic energy conservation law due to Blokhintsev appears as the result of the conservation of a mixed co- and contravariant energy-momentum tensor, while the exchange of relative energy between the wave and the mean flow mediated by the radiation stress tensor, first noted by Longuet-Higgins and Stewart in the context of ocean waves, appears as the covariant conservation of the doubly contravariant form of the same energy-momentum tensor.
Keywords
Cite
@article{arxiv.cond-mat/9909315,
title = {Acoustic Energy and Momentum in a Moving Medium},
author = {Michael Stone},
journal= {arXiv preprint arXiv:cond-mat/9909315},
year = {2008}
}
Comments
25 Pages, LateX