Predicting phase shift of elastic waves in pipes due to fluid flow and imperfections

Jon Juel Thomsen (Invited author), Jonas Dahl (Invited author), Niels Fuglede (Invited author), Stephanie Enz (Invited author)

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearch


    Flexural vibrations of a fluid-conveying pipe is investigated, with special consideration to the spatial shift in phase caused by fluid flow and various imperfections, e.g., non-ideal supports, non-uniform stiffness or mass, non-proportional damping, weak nonlinearity, and flow pulsation. This is relevant for understanding wave propagation in elastic media in general, and for the design and trouble-shooting of phase-shift measuring devices such as Coriolis mass flowmeters in particular. A multiple time scaling perturbation analysis is employed for a simple model of a fluid-conveying pipe with imperfections. This leads to simple analytical expressions for the approximate prediction of phase shift, providing direct insight into which imperfections affect phase shift, and how. The analytical predictions are tested against results obtained by pure numerical analysis (Galerkin expansion), showing very good agreement.
    Original languageEnglish
    Title of host publicationProceedings of the 16th International Congress on Sound and Vibration (ICSV16) : (CD-ROM proceedings)
    Place of PublicationKraków, Poland
    PublisherInternational Institute of Sound and Vibration
    Publication date2009
    ISBN (Print)978-83-60716-71-7
    Publication statusPublished - 2009
    Event16th International Congress on Sound and Vibration 2009 (ICSV16) - Krakow, Poland
    Duration: 5 Jul 20099 Jul 2009


    Conference16th International Congress on Sound and Vibration 2009 (ICSV16)
    Internet address


    • non-ideal boundary supports
    • Elastic wave propagation
    • Fluid flow
    • Coriolis flowmeter


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