Theoretical Study of the Effects of a Diffuse Layer on Nonlinear Interaction of a Surface Wave with Interfacial Waves

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Behzadi, Sima | 2011

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 43113 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Jamali, Mirmosadegh
Abstract:
The theory of resonant wave interaction has found considerable applications in meteorology, oceanography and limnology. It is known that the mechanism serves as an effective means of energy transfer in the atmosphere, oceans and lakes. In this project, the three-dimensional resonant interaction of a surface wave with two pairs of interfacial waves in a stratified fluid is studied theoretically. Witham’s variational method is formulated in order to apply to weak resonant interaction among waves whose amplitudes and phase angles vary slowly with position and time. The method is applied to a surface-interfacial wave interaction in a horizontally infinite two layer fluid. Combination of two finite-depth layers divided by a thin third layer is also served to explore the effects of diffuse interface on behaviour of the fluid system. The evolution equations of the internal waves are obtained. Moreover, the effects of different parameters such as surface wave frequency and density ratio on the dynamics of the interaction are investigated. Finally, the previous experimental observations confirm the theoretical predictions
Keywords:
Resonance ; Internal Waves ; Variational Method ; Wave Nonlinear Interaction ; Diffuse Interface

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