Calculation of Rotor Dynamic Coefficients for Labyrinth Seals

A single control volume, Iwatsubo based bulk flow method for the calculation of these coefficients is developed and implemented. The method herein uses a unique iterative technique to first identify the mass flow rate based on pressure drops across the individual teeth, which is then used in the gov...

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Main Authors: B. P. Williams, R. D. Flack
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Rotating Machinery
Subjects:
Online Access:http://dx.doi.org/10.1155/S1023621X98000220
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author B. P. Williams
R. D. Flack
author_facet B. P. Williams
R. D. Flack
author_sort B. P. Williams
collection DOAJ
description A single control volume, Iwatsubo based bulk flow method for the calculation of these coefficients is developed and implemented. The method herein uses a unique iterative technique to first identify the mass flow rate based on pressure drops across the individual teeth, which is then used in the governing sets of continuity and momentum equations. The method is applicable to different teeth geometries and arrangements. A parametric analysis of the effect of mass flow rate on rotor dynamic coefficients is performed and suggests that a small variation in mass flow rate does not significantly detract from the accuracy of the predicted dynamic coefficients; the mass flow rate calculation implemented in this paper is sufficiently accurate. Furthermore, the inclusion of some tangential momentum parameters has been previously proposed to improve the accuracy of the Iwatsubo method. However, from the current analysis the inclusion of such parameters is also shown to have little effect on the rotor dynamic coefficients and does not lead to improved correlation with experimental data. Comparisons to experimental data suggest that the method herein is reasonable for use as a design tool to predict the trends and actual values of cross-coupled stiffness, the most important seal parameter in rotor dynamic analyses. The method is also shown to be useful in predicting the order of magnitude of principal stiffness and damping coefficients.
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spelling doaj-art-9909257b8f0e4746a5031b209183c6892025-02-03T07:25:32ZengWileyInternational Journal of Rotating Machinery1023-621X1998-01-014425726910.1155/S1023621X98000220Calculation of Rotor Dynamic Coefficients for Labyrinth SealsB. P. Williams0R. D. Flack1Baker and Botts, Dallas, TX 75201-2980, USAMechanical, Aerospace, and Nuclear Engineering, Rotating Machinery and Controls Laboratory, University of Virginia, Charlottesville, VA 22903-2441, USAA single control volume, Iwatsubo based bulk flow method for the calculation of these coefficients is developed and implemented. The method herein uses a unique iterative technique to first identify the mass flow rate based on pressure drops across the individual teeth, which is then used in the governing sets of continuity and momentum equations. The method is applicable to different teeth geometries and arrangements. A parametric analysis of the effect of mass flow rate on rotor dynamic coefficients is performed and suggests that a small variation in mass flow rate does not significantly detract from the accuracy of the predicted dynamic coefficients; the mass flow rate calculation implemented in this paper is sufficiently accurate. Furthermore, the inclusion of some tangential momentum parameters has been previously proposed to improve the accuracy of the Iwatsubo method. However, from the current analysis the inclusion of such parameters is also shown to have little effect on the rotor dynamic coefficients and does not lead to improved correlation with experimental data. Comparisons to experimental data suggest that the method herein is reasonable for use as a design tool to predict the trends and actual values of cross-coupled stiffness, the most important seal parameter in rotor dynamic analyses. The method is also shown to be useful in predicting the order of magnitude of principal stiffness and damping coefficients.http://dx.doi.org/10.1155/S1023621X98000220SealsLabyrinth sealsRotor dynamics.
spellingShingle B. P. Williams
R. D. Flack
Calculation of Rotor Dynamic Coefficients for Labyrinth Seals
International Journal of Rotating Machinery
Seals
Labyrinth seals
Rotor dynamics.
title Calculation of Rotor Dynamic Coefficients for Labyrinth Seals
title_full Calculation of Rotor Dynamic Coefficients for Labyrinth Seals
title_fullStr Calculation of Rotor Dynamic Coefficients for Labyrinth Seals
title_full_unstemmed Calculation of Rotor Dynamic Coefficients for Labyrinth Seals
title_short Calculation of Rotor Dynamic Coefficients for Labyrinth Seals
title_sort calculation of rotor dynamic coefficients for labyrinth seals
topic Seals
Labyrinth seals
Rotor dynamics.
url http://dx.doi.org/10.1155/S1023621X98000220
work_keys_str_mv AT bpwilliams calculationofrotordynamiccoefficientsforlabyrinthseals
AT rdflack calculationofrotordynamiccoefficientsforlabyrinthseals