The work presents a method for analyzing the dynamic regime of labyrinth liquid seals. By using the traditional simplifying assumptions for the centered seal (sinusoidal, harmonically varying, first order dynamic perturbation), the approach can be addressed as “quasi” two-dimensional. A numerical coordinate transformation capable to treat displacement perturbations is introduced. The first order mathematical model is then deduced following the same steps as in a previously published work (Arghir and Freˆne, 1997b). From this standpoint, the present method can be regarded as an extension of the above mentioned approach which was able to deal only with stator-grooved seals. The method is validated by comparisons with Nordmann and Dietzen’s (1988) theoretical results for a seal with grooves on both stator and rotor and with the experimental results of Staubli’s (1993) test case concerning a general seal.
Issue Section:
Gas Turbines: Structures and Dynamics
1.
Amoser, M., 1995, “Stro¨mungsfelder und Radialkra¨fte in Labyrinthdichtungen hydraulischer Stro¨mungmashinen,” Dissertation ETH Zu¨rich Nr. 11150.
2.
Arghir, M., 1996, “Mode´lisation du comportment dynamique des joints annulaires rainure´s a` fluids incompressible,” The`se de docteur de l’universite´ de Poitiers.
3.
Arghir
M.
Freˆne
J.
1997
a, “Forces and Moments Due to Misalignment vibrations in Annular Liquid Seals Using the Averaged Navier-Stokes Equations
,” ASME Journal of Tribology
, Vol. 119
, pp. 279
–290
.4.
Arghir
M.
Freˆne
J.
1997
b, “Rotordynamic Coefficients of Circumferentially Grooved Liquid Seals Using the Averaged Navier-Stokes Equations
,” ASME Journal of Tribology
, Vol. 119
, pp. 556
–567
.5.
Arghir, M., 1997, “Logiciel LABYR—Dossier Mathe´matique,” Rapport P41/6A1149.
6.
Athavale, M. M., and Hendricks, R.C., 1994, “A Small Perturbation CFD Method for Calculation of Seal Rotordynamic Coefficients,” paper presented at the ISROMAC-5, Maui, Hawaii, May.
7.
Athavale, M.M., Przekwas, A.J., Hendricks, R.C., and Liang, A., 1994, “SCI-SEAL: A 3D CFD Code for Accurate Analysis of Fluid Flow and Forces in Seals,” paper presented at the Advanced ETO Propulsion Conference, May.
8.
Baldwin, B.S., and Lomax, H., 1978, “Thin-Layer Approximation and Algebraic Model for Separated Turbulent Flows,” AIAA paper, 78-257, Huntsville, AL.
9.
Baskharone
E. A.
Hensel
S. J.
1991
, “A Finite-Element Perturbation Approach to Fluid/Rotor Interaction in Turbomachinery Elements: Part 1—Theory
,” ASME Journal of Fluids Engineering
, Vol. 113
, September, pp. 353
–361
.10.
Childs, D.W., 1993, Turbomachinery Rotordynamics: Phenomena, Modeling and Analysis, John Wiley & Sons, New York.
11.
Dietzen
F. J.
Nordmann
R.
1987
, “Calculating Rotordynamic Coefficients of Seals by Finite-Difference Techniques
,” ASME Journal of Tribology
, Vol. 109
, pp. 388
–394
.12.
Feng
T.
Nordmann
R.
1992
, “Identification of Fluid/Structure Interactionsin Centrifugal Pumps (Part 1:Computational Procedure)
,” ISROMAC-4
, Vol. A
, Hawaii, USA, pp. 34
–43
.13.
Florjancic, S., 1990, “Annular Seals of High Energy Centrifugal Pumps: A New Theory and Full Scale Measurement of Rotordynamic Coefficients and Hydraulic Friction Factors,” Diss ETH Nr. 9087, Swiss Federal Institute of Technology, Zurich, Switzerland.
14.
George, P.L., 1991, Automatic Mesh Generation Application to Finite Element Methods, John Wiley & Sons, New York.
15.
Khosla, P.K., and Rubin, S.G., 1974,“A Diagonally Dominant Second-Order Accurate Implicit Scheme,” Comput. & Fluids, No. 2, pp. 207–209.
16.
Koh
Y. M.
1992
, “Turbulent Flow Near a Rough Wall
,” ASME Journal of Fluids Engineering
, Vol. 114
, pp. 537
–542
.17.
Launder
B. E.
Spalding
D. B.
1974
, “The Numerical Computation of Turbulent Flows
,” Computer Methods in Applied Mechanics and Engineering
, Vol. 3
, pp. 269
–289
.18.
Launder
B. E.
1991
, “Current Capabilities for Modelling Turbulence in Industrial Flow
,” Applied Scientific Research
, Vol. 48
, pp. 247
–269
.19.
Marquette, O.R., and Childs, D.W., 1995, “An Extended Three-Control-Volume Theory for Circumferentially Grooved Liquid Seals,” paper no. 95-TRIB-15, ASME/STLE Tribology Conference, October 8-11, Orlando, FL.
20.
Nordmann, R., and Dietzen, F.J., 1988, “Finite Difference Analysis of Rotordynamic Seal Coefficients for an Eccentric Shaft Position,” paper presented at the Rotordynamics Instability Problems in High Performance Turbomachinery, Texas A&M University, College Station, TX.
21.
Rhode
D. L.
Hensel
S. J.
Guidry
M. J.
1992
, “Labyrinth Seal Rotordynamic Forces Using a Three-Dimensional Navier-Stokes Code
,” ASME Journal of Tribology
, Vol. 114
, pp. 683
–689
.22.
San Andres
L.
1997
, “Transient Response of Externally Pressurized Fluid Film Bearings
,” Tribology Transactions
, Vol. 40
, pp. 147
–155
.23.
Schlichting, H., 1978, Boundary Layer Theory, Seventh ed., McGraw-Hill, Inc, New York.
24.
Staubli, T., 1993, “A Labyrinth Seal—ETHZ Test Case,” presented at Socie´te´ Hydrotechnique de France, October, Paris.
25.
Tam
L. T.
Przekwas
A. J.
Muzsynska
A.
Hendricks
R. C.
Braun
M. J.
Mullen
R. L.
1988
, “Numerical and Analytical Study of Fluid Dynamic Forces in Seals and Bearings
,” ASME Journal of Vibration, Acoustics, Stress and Reliability in Design
, Vol. 110
, pp. 315
–325
.26.
Van
Doormal. J. P.
Raithby
G. D.
1984
,“Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flow
,” Numerical Heat Transfer
, Vol. 7
, pp. 147
–163
.27.
Zhu
J.
Rodi
W.
1991
, “A Low Dispersion and bounded Convection Scheme
,” Computer Methods in Applied Mechanics and Engineering
, Vol. 92
, pp. 87
–96
.
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