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Titel Tilting at wave beams: a new perspective on the St. Andrew's Cross
VerfasserIn Triantaphyllos Akylas, Takeshi Kataoka, Thomas Peacock, Sasan Ghaemsaidi, Nils Holzenberger
Konferenz EGU General Assembly 2017
Medientyp Artikel
Sprache en
Digitales Dokument PDF
Erschienen In: GRA - Volume 19 (2017)
Datensatznummer 250141710
Publikation (Nr.) Volltext-Dokument vorhandenEGU/EGU2017-5246.pdf
 
Zusammenfassung
The generation of internal gravity waves by a vertically oscillating cylinder that is tilted to the horizontal in a uniformly stratified fluid of constant buoyancy frequency, is investigated. This variant of the widely-studied horizontal configuration--where a cylinder aligned horizontally with a plane of constant gravitational potential induces four wave beams forming a cross pattern known as St. Andrew's Cross--brings out certain unique features of radiated internal waves from a line source tilted to the horizontal. Specifically, for a given tilt of the cylinder, there is a cut-off frequency below which there is no longer a radiated wave field. Furthermore, three-dimensional effects due to the finite length of the cylinder, which are minor in the horizontal configuration, become a significant factor and eventually dominate the wave field as the cut-off frequency is approached. These results follow from simple kinematic analysis and are confirmed by supporting laboratory experiments. The kinematic analysis, moreover, suggests a resonance phenomenon near the cut-off frequency, where nonlinear and viscous effects are likely to play a part. This scenario is examined by an asymptotic model which predicts transfer of energy to a horizontal mean flow component. Experimental evidence of such an induced mean flow near cut-off is also presented.