A theory for analyzing the effects of elastic deformations of the seal wall on the dynamic characteristics of high pressure cryogenic annular seals under concentric operation is presented. The bulk flow continuity, axial and circumferential momentum, and the energy transport equations are utilized to determine the pressure distribution in the seal. Thermophysical properties of the cryogenic fluid are assumed to be functions of the local pressure and temperature. The wall deformations are obtained using an iso-parametric, axi-symmetric Finite Element formulation of the seal wall. A perturbation analysis is employed to arrive at the first order solution which yields the rotordynamic coefficients. Results obtained for the case of Space Shuttle Main Engine Oxygen Turbopump (SSME-HPOTP) Preburner Seal show a significant impact of seal flexibility on the dynamic coefficients.

1.
Black
H. F.
,
1969
, “
Effects of Hydraulic Forces in Annular Pressure Seals on the Vibrations of Centrifugal Pump Rotors
,”
Journal of Mechanical Engineering Science
, Vol.
11
, pp.
206
213
.
2.
Childs
D. W.
,
1983
, “
Dynamic Analysis of Turbulent Annular Seals Based on Hirs Lubrication Equations
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
429
436
.
3.
Childs
D. W.
,
1983
, “
Finite Length Solutions for Rotordynamic Coefficients of Turbulent Annular Seals
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
105
, pp.
429
436
.
4.
Childs, D. W., 1993, Turbomachinery Rotordynamics: Phenomena, Modeling, & Analysts, Wiley, New York.
5.
Conway
H. D.
, and
Lee
H. C.
,
1975
, “
The Analysis of the Lubrication of a Flexible Journal Bearing
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
97
, pp.
599
604
.
6.
Friend, D. G., 1992 “NIST Thermophysical Properties of Pure Fluids (Version 3.0),” NIST Standard Reference Database 12, Fluid Mixtures Data Center, Thermophysics Division, National Institute of Standards and Technology, Boulder, Colorado.
7.
Higginson, G. R., 1965, “The Theoretical Effects of Elastic Deformation of the Bearing Liner on Journal Bearing Performance,” Proceedings of the Symposium on Elasto-hydrodynamic Lubrication, Institute of Mechanical Engineers, Vol. 180, Part 3B, pp. 31–38.
8.
Iwatsubo, T., Yang, B. S., 1987 “The Effects of Elastic Deformation on Seal Dynamics,” The 1987 ASME Design Technology Conferences—11th Biennial Conference on Mechanical Vibration and Noise, Sep. 27–30, Boston, MA, pp. 435–440.
9.
Kamal
M. M.
,
1968
, “
A High Pressure Clearance Seal
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
90
, No.
2
, pp.
412
416
.
10.
Lund
J. W.
, and
Pedersen
L. B.
,
1986
, “
The Inflence of Pad Flexibility on the Dynamic Coefficients of a Tilting Pad Journal Bearing
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
109
, pp.
65
70
.
11.
Nelson
C. C.
, and
Nguyen
D. T.
,
1987
, “
Comparison of Hirs,’ Equation with Moody’s Equations for Determining Rotordynamic Coefficients of Annular Seals
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
109
, pp.
144
148
.
12.
Nilsson, L. R. K., 1978 “The Influence of Bearing Flexibility on the Dynamic Performance of Radial Oil Film Bearings,” Proceedings of the 5th Leeds-Lyon Symposium on Tribology, pp. 311–319.
13.
Oh
K. P.
, and
Heubner
K. H.
,
1973
, “
Solution of the Elastohydrodynamic Finite Journal Bearing Problem
,”
ASME JOURNAL OF LUBRICATION TECHNOLOGY
, Vol.
95
, No.
3
, pp.
342
352
.
14.
San Andres
L. A.
,
Yang
Z.
,
Childs
D. W.
,
1992
, “
Thermal effects in Cryogenic Liquid Annular Seals—Part II; Numerical Solution and Results
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
115
, No.
2
, pp.
277
284
.
15.
Timoshenko, S., and Goodier, J. N., 1970, Theory of Elasticity, Third Edition, Mc-Graw Hill, New York.
16.
Venkataraman, B., and Palazzolo, A. B., 1995 “Thermo-hydrodynamic Analysis of Turbulent Cryogenic Annular Seals with Large Eccentric Motion,” presented at the 1995 Society of Tribologists and Lubrication Engineers (STLE) Annual Meeting in Chicago, IL, May 14–19.
17.
Yang
Z.
,
San Andres
L. A.
, and
Childs
D. W.
,
1992
, “
Thermal effects in Cryogenic Liquid Annular Seals—Part I: Theory and Approximate solution
,”
ASME JOURNAL OF TRIBOLOGY
, Vol.
115
, No.
2
, pp.
267
276
.
This content is only available via PDF.
You do not currently have access to this content.