0
Research Papers: Flows in Complex Systems

A Fast Method to Predict the Cavitation Volume on Two-Dimensional Sections

[+] Author and Article Information
Zhibo Zeng

National Key Laboratory on Ship
Vibration & Noise,
China Ship Scientific Research Center,
Wuxi 214082, China
e-mail: zbzeng80@163.com

Gert Kuiper

Soetendaalseweg,
Bennekon 06721 XB, The Netherlands
e-mail: g.kuiper@cavitation.nl

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 5, 2018; final manuscript received April 10, 2019; published online May 8, 2019. Assoc. Editor: Shawn Aram.

J. Fluids Eng 141(11), 111102 (May 08, 2019) (9 pages) Paper No: FE-18-1743; doi: 10.1115/1.4043499 History: Received November 05, 2018; Revised April 10, 2019

The paper presents a simplified prediction method to estimate cavitation-induced pressure fluctuations by marine propellers in a nonuniform wake field. It is realized by a very fast calculation of the cavitation volume variation. The sheet cavitation volume is represented by the cavitation area in a two-dimensional section, which is the vapor area inside the cavity contour. The variation of the cavitation area on a two-dimensional blade section has been simplified to a relation in quasi-steady condition with only a limited number of nondimensional parameters. This results in a fast method to predict the cavitation area of a blade section passing a wake peak, using a precalculated database. Application of this method to the prediction of cavitation-induced pressure fluctuations shows to be effective. This makes optimization of propeller sections for minimum cavitation-induced pressure fluctuations feasible.

FIGURES IN THIS ARTICLE
<>
Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.

References

Callenaere, M. , Franc, J. P. , Michel, J. M. , and Riondet, M. , 2001, “ The Cavitation Instability Induced by the Development of a Re-Entrant Jet,” J. Fluid Mech., 444, pp. 223–256. [CrossRef]
Breslin, J. P. , Houten, V. , Kerwin, J. E. , and Johnsson, C. A. , 1982, “ Theoretical and Experimental Propeller-Induced Hull Pressures Arising From Intermittent Blade Cavitation, Loading and Thickness,” Trans. SNAME, 90, pp. 111–151.
Hoshino, T. , Jung, J. , Kim, J. K. , Lee, J. H. , Han, J. M. , and Park, H. G. , 2010, “ Full Scale Cavitation Observations and Pressure Fluctuation Measurements by High-Speed Camera System and Correlation With Model Test,” ISP'10, Okayama, Japan, Apr.
Zeng, Z. , and Kuiper, G. , 2012, “ Blade Section Design of Marine Propellers With Maximum Cavitation Inception Speed,” J. Hydrodyn., 24(1), pp. 65–75. [CrossRef]
Hoshino, T. , 1980, “ Estimation of Unsteady Cavitation on Propeller Blades as a Base for Predicting Propeller Induced Pressure Fluctuations,” J. Soc. Nav. Archit. Jpn., 148, pp. 33–44. [CrossRef]
Geurst, J. A. , 1959, “ Linearized Theory for Partially Cavitated Hydrofoils,” Int. Shipbuild. Prog., 6(60), pp. 369–384. [CrossRef]
Uhlman, J. S. , 1987, “ The Surface Singularity Method Applied to Partially Cavitation Hydrofoils,” J. Ship Res., 31(2), pp. 107–124.
Dang, J. , and Kuiper, G. , 1999, “ Re-Entrant Jet Modeling of Partial Cavity Flow on Two-Dimensional Hydrofoils,” ASME J. Fluid Eng., 121(4), pp. 773–780. [CrossRef]
Arndt, R. E. A. , 2012, “ Some Remarks on Hydrofoil Cavitation,” J. Hydrodyn., 24(3), pp. 305–314. [CrossRef]
Merkle, C. L. , Feng, J. , and Buelow, P. E. O. , 1998, “ Computational Modeling of the Dynamics of Sheet Cavitation,” Third International Symposium on Cavitation, Grenoble, France, Apr., pp. 307–313.
Coutier-Delgosha, O. , Reboud, J. L. , and Fortes-Patella, R. , 2003, “ Evaluation of the Turbulence Model Influence on the Numerical Simulations of Unsteady Cavitation,” ASME J. Fluids Eng., 125(1), pp. 38–45. [CrossRef]
Kubota, A. , Kato, H. , and Yamaguchi, H. , 1992, “ A New Modeling of Cavitation Flows: A Numerical Study of Unsteady Cavitation on a Hydrofoil Section,” J. Fluid Mech., 240(1), pp. 59–96. [CrossRef]
Singhal, A. K. , Athavale, M. M. , Li, H. , and Jiang, Y. , 2002, “ Mathematical Basis and Validation of the Full Cavitation Model,” ASME J. Fluids Eng., 124(3), pp. 617–624. [CrossRef]
Schnerr, G. H. , Schmitdt, S. , Sezal, I. , and Thalhamer, M. , 2006, “ Shock and Wave Dynamics of Compressible Liquid Flows With Special Emphasis on Unsteady Load on Hydrofoils and on Cavitation in Injection Nozzles,” Invited Lecture, Sixth International Symposium on Cavitation, Wageningen, The Netherlands, Sept.
Sato, K. , Oshima, A. , Egashira, H. , and Takano, S. , 2009, “ Numerical Prediction of Cavitation and Pressure Fluctuation Around Marine Propeller,” Seventh International Symposium on Cavitation, Ann Arbor, MI, Aug. 17–22, Paper No. 141.
Ji, B. , Luo, X. W. , Peng, X. X. , Wu, Y. L. , and Xu, H. Y. , 2012, “ Numerical Analysis of Cavitation Evolution and Excited Pressure Fluctuation Around a Propeller in Non-Uniform Wake,” Int. J. Multiphase Flow, 43, pp. 13–21. [CrossRef]
Zheng, C. S. , 2017, “ The Numerical Prediction of the Propeller Cavitation and Hull Pressure Fluctuation in the Ship Stern Using OpenFOAM,” Fifth International Symposium on Marine Propulsors, Espoo, Finland, June.
Eppler, R. A. , 1980, “ A Computer Program for the Design and Analysis of Low-Speed Airfoils,” NASA, Washington, DC, Report No. 80210.
Ma, Y. , Lu, F. , Huang, H. B. , Ding, E. B. , Zeng, Z. B. , and Johannsen, C. , 2013, “ Comparative Research of Cavitation Test Between CLCC and HYKAT,” 25th National Conference on Hydrodynamics & 12th National Congress on Hydrodynamics, Zhoushan, China, Sept. 23–25, pp. 588–594.
Le, Q. , Franc, J. P. , and Michel, J. M. , 1993, “ Partial Cavities: Global Behavior and Mean Pressure Distribution,” ASME J. Fluid Eng., 115(2), pp. 243–248. [CrossRef]
Zeng, Z. , Liu, D. , and Kuiper, G. , 2018, “ Research on Characteristics of Cavitation Shape Development on Blade Sections,” Chin. J. Hydrodyn., 33(1), pp. 9–16.
Jang, J. S. R. , Sun, C. T. , and Mizutani, E. , 1997, Neuro-Fuzzy and Soft Computing, Prentice Hall, Upper Saddle River, NJ (in Chinese).
Liu, X. L. , and Wang, G. Q. , 2006, “ Prediction of Unsteady Performance of Propeller by Potential Based Panel Method,” J. Ship Mech., 10(2), pp. 30–39.

Figures

Grahic Jump Location
Fig. 1

Pressure distributions on suction side of section using parametric variations

Grahic Jump Location
Fig. 2

Two types of pressure distributions on suction side; With the fixed values of αm = 1.65 deg, −Cpm = 0.20 they are, respectively, generated by variation of Eppler parameters xpc = 0.017, ΔCpmi = −0.045 for the flat pressure distribution and xpc = 0.110, ΔCpmi = 0.048 for the triangular pressure distribution; and then with angle of attack changed, they have the same minus minimum pressure coefficient (0.6) in the leading edge

Grahic Jump Location
Fig. 3

The sensitivity of the pressure variation: ΔC¯¯p(ϕ) to the parameter αm (It is relative to αm=1.65 deg with an increment of angle of attack Δα=0.5 deg)

Grahic Jump Location
Fig. 4

The development of section cavitation area as a function of the combined cavitation parameter

Grahic Jump Location
Fig. 5

The development of cavitation area of propeller section at 0.8 R for the 5600TEU container ship

Grahic Jump Location
Fig. 6

The database of precalculated cavitation area characteristic of section related with a series of pressure distributions: (a) xpc=0.017, (b) xpc=0.067, and (c) xpc=0.110. (“■ and ★” denote a variation of σ with α unchanged; “◻ and ☆” denote a variation of α with σ constant; The curves are their fittings).

Grahic Jump Location
Fig. 7

The comparison of the characteristic of cavitation area predicted by Eq. (12) and simulated by computational fluid dynamics method

Grahic Jump Location
Fig. 8

The fast prediction procedure to predict cavitation area variation

Grahic Jump Location
Fig. 9

The cavitation bucket and the operating curve of propeller section at 0.8 R for the 5600TEU container ship

Grahic Jump Location
Fig. 10

The combined cavitation parameter σ∗ with the blade angle position at 0.8 R for the 5600TEU container ship

Grahic Jump Location
Fig. 11

The cavity shape on the propeller section at 0.8 R for the 5600TEU container ship at the 12 o’clock blade angle position: (a) The NACA section and (b) The new section

Grahic Jump Location
Fig. 12

The variation of cavitation area on the propeller section at 0.8 R for the 5600TEU container ship

Grahic Jump Location
Fig. 13

The second derivative of cavitation area on the propeller section at 0.8 R for the 5600TEU container ship

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In