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Surface and internal waves in a stratified layer of liquid and an analysis of the impedance boundary conditions

โœ Scribed by D.D. Zakharov


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
284 KB
Volume
70
Category
Article
ISSN
0021-8928

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โœฆ Synopsis


The surface and internal waves in a multilayered ideal liquid for specified displacements of the bottom are considered. The upper surface of the liquid is either free or displacements are specified on it. In the long-wave approximation, asymptotically accurate models of the waves propagating along the surface layers of an incompressible liquid are constructed both for intense stratification (the ratio of the densities of neighbouring layers are associated with a small parameter) and for weak stratification. The important case of this problem of the dynamic contact of rigid bodies through a layer of incompressible or compressible liquid is investigated. High-order impedance boundary conditions are constructed and the results of testing them using the exact solutions are presented.


๐Ÿ“œ SIMILAR VOLUMES


A shear surface wave at the interface of
โœ V.I. Yerofeyev; I.N. Soldatov ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 276 KB

The propagation of a shear surface wave (SSW) along the interface of an elastic half-space liquid and micropolar half-space is considered. The phase velocity of the wave and its attenuation constant are determined. It is shown that a SSW at the interface of a solid and a micropolar liquid propagates