• Login
    View Item 
    •   Home
    • UA Graduate and Undergraduate Research
    • UA Theses and Dissertations
    • Dissertations
    • View Item
    •   Home
    • UA Graduate and Undergraduate Research
    • UA Theses and Dissertations
    • Dissertations
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UA Campus RepositoryCommunitiesTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournalThis CollectionTitleAuthorsIssue DateSubmit DateSubjectsPublisherJournal

    My Account

    LoginRegister

    About

    AboutUA Faculty PublicationsUA DissertationsUA Master's ThesesUA Honors ThesesUA PressUA YearbooksUA CatalogsUA Libraries

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Subharmonic resonance of nonlinear cross-waves: Theory and experiments.

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    azu_td_8814219_sip1_c.pdf
    Size:
    10.21Mb
    Format:
    PDF
    Download
    Author
    Chen, Jerry Min.
    Issue Date
    1988
    Keywords
    Resonance.
    Waves.
    Advisor
    Lichter, Seth
    
    Metadata
    Show full item record
    Publisher
    The University of Arizona.
    Rights
    Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
    Abstract
    The generation and evolution of cross-waves in a channel are investigated analytically, numerically and experimentally. The derivation of the modulation equation governing the inviscid cross-wave amplitude yields the nonlinear Schrodinger equation with a homogeneous Robin boundary condition at the wavemaker. Either of two uniformly valid scalings--cross-wave amplitude of the same order as or much larger than the wavemaker amplitude--may be used in the derivations. The differences between the two scalings are discussed. The inviscid modulation equation is augmented by a linear damping term, the coefficient of which is determined empirically from the measured neutral stability curve. The viscous modulation equation is solved numerically. The theory is compared to experiments in a channel 30.9 cm wide, for mode n = 6, for frequencies close to the cutoff frequency 7.82 Hz. Measurements include the neutral stability curve, the onset of modulation, cross-wave phase along the channel, and cross-wave amplitude as functions of wavemaker amplitude, forcing frequency and distance from the wavemaker. These measurements are in good agreement with the numerical results. The results are also observed to be sensitive to viscous effects. Additionally, both numerical calculations and experiment reveal trapped and propagating modes. The trapped mode is most easily observed at positive detuning.
    Type
    text
    Dissertation-Reproduction (electronic)
    Degree Name
    Ph.D.
    Degree Level
    doctoral
    Degree Program
    Aerospace and Mechanical Engineering
    Graduate College
    Degree Grantor
    University of Arizona
    Collections
    Dissertations

    entitlement

     
    The University of Arizona Libraries | 1510 E. University Blvd. | Tucson, AZ 85721-0055
    Tel 520-621-6442 | repository@u.library.arizona.edu
    DSpace software copyright © 2002-2017  DuraSpace
    Quick Guide | Contact Us | Send Feedback
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.