Transient turbulent friction in smooth pipe flows

A. E. Vardy, J. M. B. Brown

    Research output: Contribution to journalArticle

    166 Citations (Scopus)

    Abstract

    A weighting function model of unsteady skin friction in smooth-walled, one-dimensional ducts is derived using an idealized form of the radial viscosity distribution. The model is an enhancement of earlier work by the authors in which additional simplifying assumptions were made. Important improvements include (1) replacing the assumption of uniform (solid) behaviour in an extensive core region by an assumption of uniform turbulent viscosity and (2) relating the wall shear stress to the mean flow velocity instead of to the maximum velocity. The resulting model can be used directly in numerical analyses of transient flows in pipes. It can also be used to deduce numerical values of an empirical coefficient in a popular alternative model of skin friction in which the unsteady contribution is assumed to be proportional to the instantaneous mean acceleration.
    Original languageEnglish
    Pages (from-to)1011-1036
    Number of pages26
    JournalJournal of Sound and Vibration
    Volume259
    Issue number5
    DOIs
    Publication statusPublished - 2003

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