Boundary layer flow and bed shear stress under a solitary wave

Philip L.-F. Liu, Yong Sung Park, Edwin A. Cowen

    Research output: Contribution to journalArticle

    81 Citations (Scopus)

    Abstract

    Liu & Orfila (J. Fluid Mech. vol. 520, 2004, p. 83) derived analytical solutions for viscous boundary layer flows under transient long waves. Their analytical solutions were obtained with the assumption that the nonlinear inertia force was negligible in the momentum equations. In this paper, using Liu & Orfila's solution and the solutions for the nonlinear boundary layer equations, we examine the boundary layer flow characteristics under a solitary wave. It is found that while the horizontal component of the free-stream velocity outside the boundary layer always moves in the direction of wave propagation, the fluid particle velocity near the bottom inside the boundary layer reverses direction as the wave decelerates. Consequently, the bed shear stress also changes sign during the deceleration phase. Laboratory measurements, including the free-surface displacement, particle image velocimetry (PIV) resolved velocity fields of the viscous boundary layer, and the calculated bed shear stress were also collected to check the theoretical results. Excellent agreement is observed.
    Original languageEnglish
    Pages (from-to)449-463
    Number of pages15
    JournalJournal of Fluid Mechanics
    Volume574
    DOIs
    Publication statusPublished - 2007

    Fingerprint

    boundary layer flow
    Boundary layer flow
    Solitons
    shear stress
    Shear stress
    beds
    boundary layers
    Boundary layers
    solitary waves
    boundary layer equations
    fluids
    free flow
    flow characteristics
    deceleration
    particle image velocimetry
    planetary waves
    inertia
    Fluids
    wave propagation
    Deceleration

    Cite this

    Liu, Philip L.-F. ; Park, Yong Sung ; Cowen, Edwin A. / Boundary layer flow and bed shear stress under a solitary wave. In: Journal of Fluid Mechanics. 2007 ; Vol. 574. pp. 449-463.
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    author = "Liu, {Philip L.-F.} and Park, {Yong Sung} and Cowen, {Edwin A.}",
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    Boundary layer flow and bed shear stress under a solitary wave. / Liu, Philip L.-F.; Park, Yong Sung; Cowen, Edwin A.

    In: Journal of Fluid Mechanics, Vol. 574, 2007, p. 449-463.

    Research output: Contribution to journalArticle

    TY - JOUR

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    AB - Liu & Orfila (J. Fluid Mech. vol. 520, 2004, p. 83) derived analytical solutions for viscous boundary layer flows under transient long waves. Their analytical solutions were obtained with the assumption that the nonlinear inertia force was negligible in the momentum equations. In this paper, using Liu & Orfila's solution and the solutions for the nonlinear boundary layer equations, we examine the boundary layer flow characteristics under a solitary wave. It is found that while the horizontal component of the free-stream velocity outside the boundary layer always moves in the direction of wave propagation, the fluid particle velocity near the bottom inside the boundary layer reverses direction as the wave decelerates. Consequently, the bed shear stress also changes sign during the deceleration phase. Laboratory measurements, including the free-surface displacement, particle image velocimetry (PIV) resolved velocity fields of the viscous boundary layer, and the calculated bed shear stress were also collected to check the theoretical results. Excellent agreement is observed.

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