The economical computation of unsteady, turbulent flow structures in rotating cavities

Hector Iacovides, Brian Launder, A Zacharos

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    This paper reports computations of three-dimensional, unsteady turbulent flows in enclosed rotating cavities of axi-symmetric geometries, through the numerical solution of the unsteady Reynolds-averaged Navier-Stokes (URANS) equations. Three cases are computed: a co-rotating cavity with a stationary outer shroud of aspect ratio s/R=0.5; and two counter-rotating cavities of s/R=0.12, with disc speed ratios C of -1 (anti-symmetric) and -0.5 (asymmetric). A general-geometry flow solver is employed, with a third-order bounded discretisation scheme for convective transport and the second-order Crank-Nicolson scheme for temporal discretisation. Turbulence is modelled through the use of the high-Reynolds-number k- with a three-dimensional extension of an advanced, analytical wall function, used to model the effects of near-wall turbulence. In the co-rotating cavity, four pairs of stable structures are predicted around the outer part of the cavity, which rotate at half the angular speed of the discs, with the inner third in solid-body rotation. In the anti-symmetric counter-rotating cavity, fewer and more chaotic structures are predicted, with low rotational speed, but which reach the cavity centre. In the asymmetric case, the three-dimensional structures are generated from the surface of the slower disc and travel inwards, forming spirals. The resolved unsteady motion makes a substantial contribution to the overall turbulent kinetic energy. Time-averaged velocity profiles are in close agreement with corresponding experimental traverses.
    Original languageEnglish
    Title of host publicationTSFP6. 6th International Symposium on Turbulence and Shear Flow Phenomena, Seoul, S. Korea
    Place of PublicationSeoul, S. Korea
    Publication statusPublished - Jun 2008
    EventTSFP6. 6th International Symposium on Turbulence and Shear Flow Phenomena, Seoul, S. Korea - Seoul National University, Seoul, S. Korea
    Duration: 1 Jan 1824 → …
    http://www.tsfp6.org/home.asp

    Conference

    ConferenceTSFP6. 6th International Symposium on Turbulence and Shear Flow Phenomena, Seoul, S. Korea
    CitySeoul National University, Seoul, S. Korea
    Period1/01/24 → …
    Internet address

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