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    Direct Numerical Simulation of Rotating Cavity Flows Using a Spectral Element-Fourier Method

    Source: Journal of Engineering for Gas Turbines and Power:;2017:;volume( 139 ):;issue: 007::page 72602
    Author:
    Pitz, Diogo B.
    ,
    Chew, John W.
    ,
    Marxen, Olaf
    ,
    Hills, Nicholas J.
    DOI: 10.1115/1.4035593
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A high-order numerical method is employed to investigate flow in a rotor/stator cavity without heat transfer and buoyant flow in a rotor/rotor cavity. The numerical tool used employs a spectral element discretization in two dimensions and a Fourier expansion in the remaining direction, which is periodic and corresponds to the azimuthal coordinate in cylindrical coordinates. The spectral element approximation uses a Galerkin method to discretize the governing equations, but employs high-order polynomials within each element to obtain spectral accuracy. A second-order, semi-implicit, stiffly stable algorithm is used for the time discretization. Numerical results obtained for the rotor/stator cavity compare favorably with experimental results for Reynolds numbers up to Re1 = 106 in terms of velocities and Reynolds stresses. The buoyancy-driven flow is simulated using the Boussinesq approximation. Predictions are compared with previous computational and experimental results. Analysis of the present results shows close correspondence to natural convection in a gravitational field and consistency with experimentally observed flow structures in a water-filled rotating annulus. Predicted mean heat transfer levels are higher than the available measurements for an air-filled rotating annulus, but in agreement with correlations for natural convection under gravity.
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      Direct Numerical Simulation of Rotating Cavity Flows Using a Spectral Element-Fourier Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4233744
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    • Journal of Engineering for Gas Turbines and Power

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    contributor authorPitz, Diogo B.
    contributor authorChew, John W.
    contributor authorMarxen, Olaf
    contributor authorHills, Nicholas J.
    date accessioned2017-11-25T07:15:56Z
    date available2017-11-25T07:15:56Z
    date copyright2017/14/2
    date issued2017
    identifier issn0742-4795
    identifier othergtp_139_07_072602.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4233744
    description abstractA high-order numerical method is employed to investigate flow in a rotor/stator cavity without heat transfer and buoyant flow in a rotor/rotor cavity. The numerical tool used employs a spectral element discretization in two dimensions and a Fourier expansion in the remaining direction, which is periodic and corresponds to the azimuthal coordinate in cylindrical coordinates. The spectral element approximation uses a Galerkin method to discretize the governing equations, but employs high-order polynomials within each element to obtain spectral accuracy. A second-order, semi-implicit, stiffly stable algorithm is used for the time discretization. Numerical results obtained for the rotor/stator cavity compare favorably with experimental results for Reynolds numbers up to Re1 = 106 in terms of velocities and Reynolds stresses. The buoyancy-driven flow is simulated using the Boussinesq approximation. Predictions are compared with previous computational and experimental results. Analysis of the present results shows close correspondence to natural convection in a gravitational field and consistency with experimentally observed flow structures in a water-filled rotating annulus. Predicted mean heat transfer levels are higher than the available measurements for an air-filled rotating annulus, but in agreement with correlations for natural convection under gravity.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDirect Numerical Simulation of Rotating Cavity Flows Using a Spectral Element-Fourier Method
    typeJournal Paper
    journal volume139
    journal issue7
    journal titleJournal of Engineering for Gas Turbines and Power
    identifier doi10.1115/1.4035593
    journal fristpage72602
    journal lastpage072602-10
    treeJournal of Engineering for Gas Turbines and Power:;2017:;volume( 139 ):;issue: 007
    contenttypeFulltext
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