Author
Farmer, C
Ockendon, H
Ockendon, J
Journal title
Wave Motion
DOI
10.1016/j.wavemoti.2021.102798
Volume
106
Last updated
2024-03-25T23:17:12.54+00:00
Abstract
Homogenisation theory is used to derive Wood’s formula for the speed at which a pressure wave can propagate in an air/water mixture. The smallness of the impedance ratio between air and water results in a dramatic lowering of the wave speed of the mixture and, when the air fraction is small, the possibility of regions of persistent ringing in the vicinity of the boundary where the pressure is applied. Only Goupillaud media are considered and, for the periodic case, the asymptotic predictions are validated against exact numerical calculations. An example in which the air/water layers vary randomly is also presented.
Symplectic ID
1187626
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Publication type
Journal Article
Publication date
09 Jul 2021
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