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Oblique reflections of internal gravity wave beams

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dc.contributor.advisor Triantaphyllos R. Akylas. en_US Karimi, Hussain H. (Hussain Habibullah) en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mechanical Engineering. en_US 2012-11-19T16:01:43Z 2012-11-19T16:01:43Z 2012 en_US 2012 en_US
dc.description Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2012. en_US
dc.description This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. en_US
dc.description Cataloged from student submitted PDF version of thesis. en_US
dc.description Includes bibliographical references (p. 99-100). en_US
dc.description.abstract We study nonlinear effects in reflections of internal gravity wave beams in a continuously stratified liquid which are incident upon a uniform slope at an oblique angle. Wave motion in a stratified fluid medium is unique in the sense that the anisotropy of stratification directs energy transport in a manner specified by the frequency of the driving mechanism. Since there is no spatial variation along the direction of the flow field, plane waves are exact nonlinear solutions of the governing equations. In general, energy is carried in the form of a wave beam, which is a superposition of plane waves having parallel wavevectors. However, beams incident upon a surface interact with the re reflected beam in a locally confined region. Nonlinear interactions in the vicinity of the reflection site where the incident and reflected beams overlap act as a source for the generation of higher order harmonics. Employing small-amplitude expansions, we determine the directions of propagation and the strength of primary and second-harmonic reflected beams. The energy associated with the secondary beam during steady-state conditions is also computed. We find that in-plane reflections produce the strongest nonlinear reflections and that larger spatial variations of the incident beam profile produce stronger secondary beams. en_US
dc.description.statementofresponsibility by Hussain H. Karimi. en_US
dc.format.extent 100 p. en_US
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. en_US
dc.rights.uri en_US
dc.subject Mechanical Engineering. en_US
dc.title Oblique reflections of internal gravity wave beams en_US
dc.type Thesis en_US S.M. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mechanical Engineering. en_US
dc.identifier.oclc 815755157 en_US

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