A method for the prediction of steady cavitation in turbopumps is proposed on the assumption that the fluid is inviscid and the stream surface is rotationally symmetric. The analysis in the meridian plane is combined with that in a blade-to-blade stream surface where a singularity method based on a closed cavity model is used. The present method is applied to a helical inducer and it is found that the influence of the three-dimensionality of the flow on cavitation mainly appears as the change of angle of attack associated with the change of meridional velocity caused by the movement of meridian streamline in radial direction.
Issue Section:
Technical Papers
1.
Tsujimoto, Y., 2001, “Simple Rules for Cavitation Instabilities in Turbomachinery,” Proceeding, 4th International Symposium on Cavitation (CAV2001), Pasadena, California, lecture.006, pp. 1–16.
2.
Dupont, P., and Okamura, T., 2002, “Cavitating Flow Calculations in Industry,” Proceedings, 9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC-9), Honolulu, Hawaii, FD-ABS-146, pp. 1–8.
3.
Coutier-Delgosha, O., Morel, P., Fortes-Patella, R., and Reboud, J. L., 2002, “Numerical Simulation of Turbopump Inducer Cavitating Behavior,” FD-ABS-127, Proceedings, 9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC-9), Honolulu, Hawaii, pp. 1–12.
4.
Okita, K., and Kajishima, T., 2002, “Three-Dimensional Computation of Unsteady Cavitating Flow in a Cascade,” FD-ABS-076, Proceedings, 9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC-9), Honolulu, Hawaii, pp. 1–8.
5.
Acosta, A. J., 1958, “An Experimental Study of Cavitating Inducers,” ONR/ACR-38, Proceedings, 2nd Symposium on Naval Hydrodynamics, pp. 533–557.
6.
Horiguchi
, H.
, Watanabe
, S.
, Tsujimoto
, Y.
, and Aoki
, M.
, 2000
, “A Theoretical Analysis of Alternate Blade Cavitation in Inducers
,” ASME J. Fluids Eng.
, 122
, pp. 156
–163
.7.
Joussellin, F., Courtot, Y., Coutier-Delgosha, O., and Reboud, J. L., 2001, “Cavitating Inducer Instabilities: Experimental Analysis and 2D Numerical Simulation of Unsteady Flow in Blade Cascade,” session B8.002, Proceeding, 4th International Symposium on Cavitation (CAV2001), Pasadena, California, pp. 1–8.
8.
Senoo
, Y.
, and Nakase
, Y.
, 1972
, “An Analysis of Flow Through a Mixed Flow Impeller
,” ASME J. Eng. Power
, 94
, pp. 43
–50
.9.
Senoo
, Y.
, and Nakase
, Y.
, 1971
, “A Blade Theory of an Impeller With an Arbitrary Surface of Revolution
,” ASME J. Eng. Power
, 93
, pp. 454
–460
.10.
Geurst
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, 1959
, “Linearized Theory for Partially Cavitated Hydrofoils
,” International Shipbuilding Progress
, 6
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.11.
Cooper
, P.
, 1967
, “Analysis of Single- and Two-Phase Flows in Turbopump Inducers
,” ASME J. Eng. Power
, 89
, pp. 577
–588
.12.
Huang
, J.
, Aoki
, M.
, and Zhang
, J.
, 1998
, “Alternate Blade Cavitation on Inducer
,” JSME Int. J., Ser. B
, 41
, pp. 1
–6
.13.
Yoshida
, Y.
, Tsujimoto
, Y.
, Kataoka
, D.
, Horiguchi
, H.
, and Wahl
, F.
, 2001
, “Effects of Alternate Leading Edge Cutback on Unsteady Cavitation in 4-Bladed Inducers
,” ASME J. Fluids Eng.
, 123
, pp. 762
–770
.14.
Watanabe
, S.
, Sato
, K.
, Tsujimoto
, Y.
, and Kamijo
, K.
, 1999
, “Analysis of Rotating Cavitation in a Finite Pitch Cascade Using a Closed Cavity Model and a Singularity Method
,” ASME J. Fluids Eng.
, 121
, pp. 834
–840
.15.
Horiguchi, H., Watanabe, S., Tsujimoto, Y., and Aoki, M., 1998, “A Theoretical Analysis of Alternate Blade Cavitation in Inducers,” FEDSM98-5057, Proceedings. 1998 ASME Fluids Engineering Division Summer Meeting, Washington, D.C., pp. 834–840.
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