Nonlinear resonant characteristics of shallow fluid layers

J. Jonathan Kobine

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    Results are presented from an experimental investigation of the motion of a shallow layer of water in a square tank that was oscillated horizontally with small amplitude at frequencies close to the natural frequency of the layer. The aim was to assess the validity of certain theoretical predictions relating to nonlinear resonance in shallow layers based on asymptotic analysis. These concern the hysteretic nature of the resonance pro. le and the existence of non-trivial oscillatory components associated with shock-like discontinuities in the derived solution for the free surface configuration. The experimental results support the theoretical predictions and show a coincidence in parameter space between the regions of hysteresis and oscillatory transition.

    Original languageEnglish
    Pages (from-to)1331-1346
    Number of pages16
    JournalPhilosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences
    Volume366
    Issue number1868
    DOIs
    Publication statusPublished - 13 Apr 2008

    Keywords

    • free-surface flows
    • resonance
    • nonlinearity
    • SQUARE-BASE BASIN
    • SURFACE-WAVES
    • WATER WAVES
    • OSCILLATIONS

    Cite this