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TECHNICAL PAPERS

Fluid Flow Equations for Rotordynamic Flows in Seals and Leakage Paths

[+] Author and Article Information
Y. Hsu, C. E. Brennen

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125

J. Fluids Eng 124(1), 176-181 (Oct 15, 2001) (6 pages) doi:10.1115/1.1436093 History: Received April 17, 2001; Revised October 15, 2001
Copyright © 2002 by ASME
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References

Brennen, C. E., 1994, Hydrodynamics of Pumps, Concepts ETI and Oxford University Press.
Childs, D. W., and Dressman, J. B., 1982, “Testing of Turbulent Seals for Rotordynamic Coefficients,” Proc. Workshop on Rotordynamic Instability Problems in High-Performance Turbomachinery, NASA Conf. Publ. 2250, 157–171.
Nordmann, R., and Massmann, H., 1984, “Identification of Dynamic Coefficients of Annular Turbulent Seals,” Proc. Workshop on Rotordynamic Instability Problems in High Performance Turbomachinery, NASA Conf. Publ. 2338, 295–311.
Guinzburg,  A., Brennen,  C. E., Acosta,  A. J., and Caughey,  T. K., 1994, “Experimental Results for the Rotordynamic Characteristics of Leakage Flows in Centrifugal Pumps,” ASME J. Fluids Eng., 116, pp. 110–115.
Childs,  D. W., 1987, “Fluid Structure Interaction Forces at Pump-Impeller-Shroud Surfaces for Rotordynamic Calculations,” ASME Symp. on Rotating Machinery Dynamics, 2, 581–593.
Childs,  D. W., 1989, “Fluid Structure Interaction Forces at Pump-Impeller-Shroud Surfaces for Rotordynamic Calculations,” ASME J. Vibr. Acoust. Stress, Reliab. Des. 111, pp. 216–225.
Guinzburg, A., 1992, Rotordynamic Forces Generated by Discharge-to-Suction Leakage Flows in Centrifugal Pumps, Ph.D. thesis, Calif. Inst. of Tech, Pasadena, CA.
Hirs, G. G., 1973, “A Bulk-Flow Theory for Turbulence in Lubricant Films,” ASME J. Lubr. Technol., Apr, pp. 137–146.
Sivo, J., Acosta, A. J., Brennen, C. E., Caughey, T. K., Ferguson, T., and Lee, G., 1994, “Laser Velocimeter Measurements in the Leakage Annulus of a Whirling Centrifugal Pump,” ASME Laser Anemometry-1994, Advances and Applications, FED-191 , 111–117.
Guelich, J., Florjancic, D., and Pace, S., 1989, “Influence of Flow Between Impeller and Casing on Part-Load Performance of Centrifugal Pumps, Pumping Machinery,” 3rd Joint ASCE/ASME Mechanics Conference, 81 , 227–235.
Baskharone,  E., and Hensel,  S., 1993, “Flow Field in the Secondary, Seal-Containing Passages of Centrifugal Pumps,” ASME J. Fluids Eng., 115, pp. 702–709.
Black,  H. F., 1969, “Effects of Hydraulic Forces in Annular Pressure Seals on the Vibrations of Centrifugal Pump Rotors,” J. Mech. Eng. Sci., 11, No. 2, pp. 206–213.
Black,  H. F., and Jensen,  D. N., 1970, “Dynamic Hybrid Properties of Annular Pressure Seals,” Proc. J. Mech. Eng., 184, pp. 92–100.
Childs,  D. W., 1983, “Dynamic Analysis of Turbulent Annular Seals Based on Hirs’ Lubrication Equation,” ASME J. Lubr. Technol., 105, pp. 429–436.
Childs,  D. W., 1983, “Finite Length Solutions for Rotordynamic Coefficients of Turbulent Annular Seals,” ASME J. Lubr. Technol., 105, pp. 437–445.
Childs, D. W., and Scharrer, J. K., 1986, “Experimental Rotordynamic, Coef-ficient Results for Teeth-on-Rotor and Teeth-on-Stator Labyrinth Gas Seals,”Proc. Adv. Earth-to-Orbit Propulsion Tech. Conf., NASA Conf. Publ. 2436, 327–345.
Pinkus, O., and Sternlicht, B., 1961, Theory of Hydrodynamic Lubrication, McGraw-Hill, New York.
Fritz,  R. J., 1970, “The Affects of an Annular Fluid on the Vibrations of a Long Rotor,” ASME J. Basic Eng., 92, pp. 923–937.
Marquette,  O. R., Childs,  D. W., SanAndres,  L., 1997, “Eccentricity Effects on the Rotordynamic Coefficients of Plain Annular Seals: Theory Versus Experi-ment,” ASME J. Tribol., 119, pp. 443–447.
Uy,  R. V., and Brennen,  C. E., 1999, “Experimental Measurements of Rotordynamic Forces Caused by Front Shroud Pump Leakage,” ASME J. Fluids Eng., 121, pp. 633–637.
Hsu, Y., 2001, Studies of Rotordynamic Forces Generated by Discharge-to-Suction Leakage Flows in Centrifugal Pumps, Ph.D. thesis, Calif. Inst. of Tech, Pasadena, CA.

Figures

Grahic Jump Location
Sketch of fluid filled annulus between a rotor and a stator for turbulent lubrication analysis
Grahic Jump Location
Force diagram in plane normal to the shaft axis
Grahic Jump Location
Comparison of rotordynamic coefficients versus flow coefficient ϕ between experiment (□), and current model (○), and Childs’ perturbation model (×) for the seal, with eccentricity equaling 10 percent of average clearance
Grahic Jump Location
Comparison of rotordynamic coefficients versus flow coefficient ϕ between experiment (□), and current model (○), and Childs’ perturbation model (×) for the conical impeller

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