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Research Papers

Effects of Uncertainty and Quasi-Chaotic Geometry on the Leakage of Brush Seals

[+] Author and Article Information
Alexander Fuchs

Division Space Propulsion,
Chair of Turbomachinery and Flight Propulsion,
Department of Mechanical Engineering,
Technical University of Munich,
Boltzmannstraße 15,
Garching bei München 85748, Germany
e-mail: alexander.fuchs@ltf.mw.tum.de

Oskar J. Haidn

Professor
Division Space Propulsion,
Chair of Turbomachinery and Flight Propulsion,
Department of Mechanical Engineering,
Technical University of Munich,
Boltzmannstraße 15,
Garching bei München 85748, Germany
e-mail: oskar.haidn@ltf.mw.tum.de

1Corresponding author.

Manuscript received February 14, 2018; final manuscript received July 19, 2018; published online January 16, 2019. Assoc. Editor: Coutier-Delgosha Olivier.

J. Turbomach 141(2), 021003 (Jan 16, 2019) (9 pages) Paper No: TURBO-18-1029; doi: 10.1115/1.4041081 History: Received February 14, 2018; Revised July 19, 2018

This article presents a brief review of the experimental and theoretical state of the art regarding the leakage flow prediction of brush seals. The authors model a computational fluid dynamics (CFD)-based approach for the leakage flow of brush seals. The brush seal is treated by modeling its real geometrical structure, namely numerous bristles in an array in transverse flow. The fluid domain is segregated into discrete volumes surrounding each bristle. Two different discretization schemes are chosen to study their influence on the leakage behavior. Furthermore, for each scheme multiple inter-bristle distances, pressure ratios and turbulence models are evaluated. In addition, the influence of irregular arrangement configurations, which forms a quasi-chaotic inner structure, is studied. The results gained are compared to other authors' experimental and numerical data.

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Figures

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Fig. 1

Brush seal in MTU Aero Engines design [2]: (a) Cross section of a brush seal (Copyright: MTU Aero Engines) and (b) axial view of bristle package of Haynes® 25 without housing (Copyright: MTU Aero Engines)

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Fig. 2

Typical regular bristle package arrangements in a a-c-cross section. Green dashed line represents the inlet face, blue dotted line represents the outlet face, and the red lines the transitional matching periodic boundary faces: (a) square shaped bristle circumscription and (b) hexagonal shaped bristle circumscription.

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Fig. 3

Typical inner bristle package compositions without and including displacement: (a) square shaped without displacement, (b) square shaped including displacement, (c) hexagonal shaped without displacement, and (d) hexagonal shaped including displacement

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Fig. 4

Typical center point distribution and limiting curve of a quasi-chaotic arrangement. La and Lc indicate the geometrical maximum displacement in axial direction a and quasi-circumferential direction c.

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Fig. 5

Details of typical numerical meshes without bristle displacement for both considered arrangements: (a) square shaped circumscription and (b) hexagonal shaped circumscription

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Fig. 6

Influence of inter-bristle distance δ and shape of circumscribing area. For all results shown in this figure, the Transition-SST model [45] for turbulence modeling, Nc = 4, and a regular bristle arrangement are used.

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Fig. 7

Correlation of the numerical results of this study against experimental and theoretical findings from other authors. For all results shown in this figure, the Transition-SST model [45] for turbulence modeling and Nc = 4 are used: (a) square shaped bristle circumscription and (b) hexagonal shaped bristle circumscription.

Grahic Jump Location
Fig. 8

Comparison of different turbulent models. For all results shown in this figure, an inter-bristle distance of δ=8×10−6m and Nc = 4 are used: (a) square shaped bristle circumscription and (b) hexagonal shaped bristle circumscription.

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Fig. 9

Influence of quasi-chaotic displacement. For all results shown in this figure, the Transition-SST model [45] for turbulence modeling, an inter-bristle distance of δ=8×10−6m and Nc = 4 are used: (a) square shaped bristle circumscription and (b) hexagonal shaped bristle circumscription.

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Fig. 10

Typical contour plots of fluid flow domain for an quasi-chaotic arrangement with hexagonal bristle circumscription and a variance of σ2=0.2×10−12, Transition-SST model [45] for turbulence modeling, an inter-bristle distance of δ=8×10−6m, a pressure ratio of Π=8.90, and Nc = 4: (a) velocity field. (I) Rivering phenomenon. (II) Impingement onto bristle. (III) Chocked condition at exit plane with supersonic exit jet. (b): Pressure field.

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