The method of matched singular perturbation expansions is applied to calculate the asymptotic solution of a steady two-dimensional free surface flow past a body of an arbitrary form for large values of the Froude number. The expansion parameter is β = gℓ / U 2 (ℓ being the body dimension, U the free stream velocity, g the gravity constant) which is assumed small. The zeroth order inner solution near the body is based on the free streamline theory with no gravity effect; and the higher order terms give rise to the gravitational correction. The outer solution contains in the order β-term a train of gravity waves on the downstream side, the nonlinear correction appears in the terms of order higher than β. The two expansions are matched to obtain a solution uniformly valid throughout the flow field.


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    Titel :

    A singular perturbation theory for nonlinear free surface flow problems


    Beteiligte:
    Wu, T. Yao-Tsu (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    01.03.1967


    Format / Umfang :

    10 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch


    Schlagwörter :


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