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TECHNICAL PAPERS

Theoretical Analysis of Textured “Damper” Annular Seals

[+] Author and Article Information
M. Arghir, J. Frěne

Laboratoire de Mécanique des Solides, Université de Poitiers, Téléport 2-SP2MI, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France

F. Billy

Laboratoire de Mécanique des Solides, Laboratoire d’Etudes Aérodynamiques, Université de Poitiers, Téléport 2-SP2MI, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France

G. Pineau, A. Texier

Laboratoire d’Etudes Aérodynamiques, Université de Poitiers, Téléport 2-SP2MI, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France

J. Tribol 129(3), 669-678 (Mar 12, 2007) (10 pages) doi:10.1115/1.2738072 History: Received March 28, 2006; Revised March 12, 2007

The present work presents a theoretical approach for the analysis of textured annular “damper” seals. The data for the seal were extracted from the work of Childs and Fayolle (ASME J. Tribol.121(1), pp. 42–49). The texture of the stator consists of equally spaced cylindrical holes of an order of magnitude larger than the seal clearance. The main idea of the present work is that the static and dynamic characteristics of the textured annular seal can be predicted by using a slightly modified bulk-flow model. The modifications are introduced by considering the textured seal as being geometrically similar to a straight seal with the same clearance. The presence of the texture is taken into account by considering modified friction laws for the rotor and for the stator, separately. An additional inertia effect due to the texture is also added as a source term to the momentum equations. The modified friction laws and the inertia effect are deduced from a three-dimensional Navier-Stokes analysis of the flow in the textured seal. This computational analysis is carried on for a single texture element extracted from the round-hole pattern of stator by using periodicity boundary conditions. The stiffness and the damping of the annular seal were calculated by using the modified bulk-flow model and results were compared with the experimental data from Childs and Fayolle. The use of the present model shows a net improvement of the predictions for the direct and cross-coupling stiffness and for the cross-coupling damping. The results obtained for the direct damping are still under discussion.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Extraction of the 3D elementary cell used for Navier-Stokes calculations

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Figure 2

Boundary conditions for the elementary cell

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Figure 3

The grid of the elementary cell

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Figure 4

Grid on the upper surface (rotor) of the elementary cell

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Figure 5

Grid on the stator surface of the elementary cell

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Figure 6

Grid of the textured walls

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Figure 7

Grid of the periodicity faces

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Figure 8

Grid of the symmetry faces

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Figure 9

Flow pattern for (left) Poiseuille and (right) Couette flow

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Figure 10

Rotor and stator friction coefficients

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Figure 11

Comparisons between 2D and 3D rotor friction coefficients

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Figure 12

Comparisons between 2D and 3D stator friction coefficients

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Figure 13

Comparisons between present calculations and experimental data of Childs and Fayolle (4)

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Figure 14

Drag coefficient for Poiseuille flow

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Figure 15

Drag coefficient for Couette flow

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Figure 16

Comparisons between calculated dynamic coefficients and experimental data of Childs and Fayolle (4): (a) direct stiffness, (b) cross-coupling stiffness, (c) direct damping, (d) cross-coupling damping

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Figure 17

Calculated leakage flow

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