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Research Papers

Review of Buoyancy-Induced Flow in Rotating Cavities

[+] Author and Article Information
J. Michael Owen

Department of Mechanical Engineering,
University of Bath,
Bath BA2 7AY, UK
e-mail: ensjmo@bath.ac.uk

Christopher A. Long

Thermo-Fluid Mechanics Research Centre,
Department of Engineering and Design,
University of Sussex,
Brighton BN1 9QT, UK
e-mail: c.a.long@sussex.ac.uk

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the JOURNAL OF TURBOMACHINERY. Manuscript received September 16, 2014; final manuscript received January 29, 2015; published online August 12, 2015. Assoc. Editor: Ardeshir (Ardy) Riahi.

J. Turbomach 137(11), 111001 (Aug 12, 2015) (13 pages) Paper No: TURBO-14-1246; doi: 10.1115/1.4031039 History: Received September 16, 2014

Buoyancy-induced flow occurs in the cavity between two corotating compressor disks when the temperature of the disks and shroud is higher than that of the air in the cavity. Coriolis forces in the rotating fluid create cyclonic and anticyclonic circulations inside the cavity, and—as such flows are three-dimensional and unsteady—the heat transfer from the solid surfaces to the air is difficult either to compute or to measure. As these flows also tend to be unstable, one flow structure can change quasi-randomly to another. This makes it hard for designers of aeroengines to calculate the transient temperature changes, thermal stresses, and radial growth of the disks during engine accelerations and decelerations. This paper reviews published research on buoyancy-induced flow in closed rotating cavities and in open cavities with either an axial throughflow or a radial inflow of air. In particular, it includes references to experimental data that could be used to validate cfd codes and numerical models.

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Figures

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Fig. 3

Rayleigh–Bénard convection between horizontal plates (TH > TC)

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Fig. 2

Schematic diagram of open and closed rotating cavities

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Fig. 1

Simplified diagram of high-pressure compressor rotor

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Fig. 4

Computed Rayleigh–Bénard vortices in rotating annulus (a/b = 0.5, Ra ≈ 108) from King et al. [13]

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Fig. 5

Variation of computed number of pairs of vortices, N, with radius ratio of annulus from Ref. [14]

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Fig. 7

Simplified diagram of axial throughflow in an isothermal rotating cavity

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Fig. 8

Schematic of flow structure in heated rotating cavity with axial throughflow of cooling air, from Ref. [19]

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Fig. 6

Comparison between computed and correlated Nusselt numbers in a closed rotating cavity from Ref. [13]. Solid symbols, circular vortex hypothesis; x, computations of Ref. [15]; and Δ, computations of Ref. [5].

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Fig. 9

Multicavity rig, from Long et al. [22]

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Fig. 10

Radial distribution of tangential velocity in rotating cavity with axial throughflow (dh/b=0.164,Ro=3.57) from Long et al. [22]

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Fig. 11

Effect of clearance ratio, dh/b, and Rossby number, Ro, on radial distribution of swirl ratio, Vϕ/Ωr, in a rotating cavity with axial throughflow, from Long et al. [22]

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Fig. 12

Rig of Bohn et al. [20]

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Fig. 15

Experimental rig used by Atkins and Kanjirakkad [29], all dimensions in millimeter

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Fig. 17

Computed temperature contours in core of heated rotating cavity with axial throughflow of cooling air and clockwise rotation of cavity, from Owen et al. [38]: (a) Exp 2 and (b) Exp 5 (clockwise rotation of cavity)

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Fig. 13

Radial distribution of Nusselt numbers for (a) upstream and (b) downstream disks (from Bohn et al. [20]): ○, case 3; □, case 4; , case 5; and Δ, case 6

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Fig. 14

Measured variation of shroud Nusselt number with Grashof number for rotating cavity rig with axial throughflow, dh/b = 0.164, from Long and Childs [28]

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Fig. 16

Distributions of nondimensional temperature [29] and Nusselt numbers [30] for Ro ≈1: (a) radial distribution of Θ [29] and (b) radial distribution of computed Nu [30] (curves show computations and shading shows 95% confidence intervals)

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Fig. 18

Computed flow structure in the core of a heated rotating cavity with axial throughflow, from Bohn et al. [42] (anticlockwise rotation of cavity)

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Fig. 19

Radial inflow in an isothermal rotating cavity

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