Fluid Transmission Line Modeling Using a Variational Method

Jari Mäkinen, Robert Piché, Asko Ellman

    Research output: Contribution to journalArticleScientificpeer-review

    55 Citations (Scopus)


    A variational method is used to derive numerical models for transient flow simulation in fluid transmission lines. These are generalizations of models derived using the more traditional modal method. Three different transient compressible laminar pipe flow models are considered (inviscous, one-dimensional linear viscous, and two-dimensional dissipative viscous flow), and a model for transient turbulent pipe flow is given. The (model) equations in the laminar case are given in the form of a set of constant coefficient ordinary differential equations, and for the turbulent case (model) in the form of a set of nonlinear ordinary differential equations. Explicit equations are given for various end conditions. Attenuation factors, similar to the window functions used in spectral analysis, are used to attenuate Gibbs phenomenon oscillations.

    Translated title of the contributionFluid Transmission Line Modeling Using a Variational Method
    Original languageEnglish
    Pages (from-to)153-162
    Number of pages10
    JournalJournal of Dynamic Systems, Measurement and Control: Transactions of the ASME
    Issue number1
    Publication statusPublished - Mar 2000
    Publication typeA1 Journal article-refereed

    Publication forum classification

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    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Instrumentation


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