Nonlinear interactions among standing surface and internal gravity waves


a service of the MBLWHOI Library | About WHOAS

Show simple item record

dc.contributor.author Joyce, Terrence M.
dc.date.accessioned 2006-10-16T19:57:56Z
dc.date.available 2006-10-16T19:57:56Z
dc.date.issued 1972-06
dc.identifier.uri http://hdl.handle.net/1912/1269
dc.description Submitted in partial fulfillment of the requirements for the degree of Doctor of Science at the Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution June, 1972 en
dc.description.abstract A laboratory study has been undertaken to measure the momentum transfer from surface to internal gravity waves in a nonlinear, resonant interaction. The interacting waves form triads for which σ1s - σ2s ± σI = 0 and κ1s - κ2s ± κI = 0; σj and κj being the frequency and wavenumber of the jth wave. In particular, the experiment is designed to model a generating mechanism for high frequency, oceanic internal waves. Unlike previously published results involving single triplets of interacting waves, all waves here considered are standing waves. The growth to steady state of a resonant internal wave is observed while two deep water surface eigen modes are simultaneously forced by a paddle. Results are compared to theoretical predictions which assume, ab initio, all waves to be standing. Inclusion of viscous side wall dissipation and slight detuning permit predictions of steady state amplitudes and phases as well as initial growth rates. Good agreement is found between predieted and measured amplitudes and phases. The experiments also suggest that the internal wave in a resonant triad can act as a catalyst, permitting appreciable energy transfer among surface waves. en
dc.format.extent 2566512 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US en
dc.publisher Massachusetts Institute of Technology and Woods Hole Oceanographic Institution en
dc.relation.ispartofseries WHOI Theses en
dc.subject Gravity waves en
dc.subject Water waves en
dc.title Nonlinear interactions among standing surface and internal gravity waves en
dc.type Thesis en
dc.identifier.doi 10.1575/1912/1269

Files in this item

This item appears in the following Collection(s)

Show simple item record

Search WHOAS


My Account