Acoustic energy and momentum in a moving medium

Authors
Citation
M. Stone, Acoustic energy and momentum in a moving medium, PHYS REV E, 62(1), 2000, pp. 1341-1350
Citations number
36
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
62
Issue
1
Year of publication
2000
Part
B
Pages
1341 - 1350
Database
ISI
SICI code
1063-651X(200007)62:1<1341:AEAMIA>2.0.ZU;2-S
Abstract
By exploiting the mathematical analogy between the propagation of sound in a nonhomogeneous potential flow and the propagation of a scalar field in cu rved space-time, Various wave "energy" and wave "momentum'' conservation la ws are established in a systematic manner. In particular, the acoustic ener gy conservation law due to Blokhintsev appears as the result of the conserv ation of a mixed covariant and contravariant energy-momentum tensor, while the exchange of relative energy between the wave and mean flow, first noted by Longuet-Higgins and Stewart in the context of ocean waves, appears as t he covariant conservation of the doubly contravariant form of the same ener gy-momentum tensor.