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Extending the weak-equilibrium condition for algebraic Reynolds stress models to rotating and curved flows

Journal of fluid mechanics, 2004-11, Vol.518, p.147-155 [Peer Reviewed Journal]

2004 Cambridge University Press ;2005 INIST-CNRS ;ISSN: 0022-1120 ;ISSN: 1469-7645 ;EISSN: 1469-7645 ;DOI: 10.1017/S0022112004000837 ;CODEN: JFLSA7

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  • Title:
    Extending the weak-equilibrium condition for algebraic Reynolds stress models to rotating and curved flows
  • Author: GATSKI, T. B. ; WALLIN, S.
  • Subjects: Exact sciences and technology ; explicit ; Flows in ducts, channels, nozzles, and conduits ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; invariance ; nonlinear eddy-viscosity ; Physics ; turbulence models ; Turbulence simulation and modeling ; Turbulent flows, convection, and heat transfer
  • Is Part Of: Journal of fluid mechanics, 2004-11, Vol.518, p.147-155
  • Description: Weis & Hutter (J. Fluid Mech. vol. 476, 2003, p. 63) obtained an implicit algebraic Reynolds stress model from a differential Reynolds stress transport equation valid in an arbitrarily rotating time-dependent coordinate frame (relative to an inertial system). Although the form of this implicit algebraic equation differed from previous implicit forms, its correctness was argued based on the objective tensor form of the implicit algebraic equation. It is shown here that such conclusions based on simple coordinate frame transformations are incomplete, and that additional considerations taking into account flow rotation and curvature, for example, are necessary. By properly accounting for both the arbitrary motions of the observer coordinate frame as well as the motion of the flow itself, it is shown that previous formulations and application of the weak-equilibrium condition are correct in contrast to the results of Weis & Hutter.
  • Publisher: Cambridge, UK: Cambridge University Press
  • Language: English
  • Identifier: ISSN: 0022-1120
    ISSN: 1469-7645
    EISSN: 1469-7645
    DOI: 10.1017/S0022112004000837
    CODEN: JFLSA7
  • Source: Alma/SFX Local Collection
    ProQuest Central
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