A Comparison of Rotordynamic-Coefficient Predictions for Annular Honeycomb Gas Seals Using Three Different Friction-Factor Models

Author:

D’Souza Rohan J.1,Childs Dara W.1

Affiliation:

1. Turbomachinery Laboratory, Texas A&M University, College Station, TX 77843

Abstract

A two-control-volume bulk-flow model is used to predict rotordynamic coefficients for an annular, honeycomb-stator/smooth-rotor gas seal. The bulk-flow model uses Hirs’ turbulent-lubrication model, which requires a friction factor model to define the shear stresses at the rotor and stator wall. Rotordynamic coefficients predictions are compared for the following three variations of the Blasius pipe-friction model: (i) a basic model where the Reynolds number is a linear function of the local clearance, fs=ns Rems (ii) a model where the coefficient is a function of the local clearance, and (iii) a model where both the coefficient and exponent are functions of the local clearance. The latter models are based on data that shows the friction factor increasing with increasing clearances. Rotordynamic-coefficient predictions shows that the friction-factor-model choice is important in predicting the effective-damping coefficients at a lower frequency range (60∼70 Hz) where industrial centrifugal compressors and steam turbines tend to become unstable. At a higher frequency range, irrespective of the friction-factor model, the rotordynamic-coefficient predictions tend to coincide. Blasius-based Models which directly account for the observed increase in stator friction factors with increasing clearance predict significantly lower values for the destabilizing cross-coupled stiffness coefficients.

Publisher

ASME International

Subject

Surfaces, Coatings and Films,Surfaces and Interfaces,Mechanical Engineering,Mechanics of Materials

Reference16 articles.

1. Childs, D., 1993, Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis, John Wiley & Sons, Inc., New York, NY, pp. 293.

2. Childs, D., and Moyer, D., 1985, “Vibration Characteristics of the HPOTP (High-Pressure Oxygen Turbopump) of the SSME (Space Shuttle Main Engine),” ASME J. Eng. Gas Turbines Power, 107, No. 1, pp. 152–159.

3. Zedian, F., Perez, R., and Stephenson, M., 1993, “The Use of Honeycomb Seals in Stabilizing Two Centrifugal Compressors,” Proceedings of the Twenty-Second Turbomachinery Symposium, Turbomachinery Laboratory, Texas A&M University, College Station, TX, pp. 3–15.

4. Armstrong, J., and Perricone, F., 1996, “Turbine Instability Solution-Honeycomb Seals,” Proceedings of the Twenty-Fifth Turbomachinery Symposium, Turbomachinery Laboratory, Texas A&M University, College Station, TX, pp. 47–56.

5. Nelson, C. , 1985, “Rotordynamic Coefficients for Compressible Flow in Tapered Annular Seals,” ASME J. Tribol., 107, pp. 318–325.

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