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TECHNICAL PAPERS

Dynamics of a Cavitating Propeller in a Water Tunnel

[+] Author and Article Information
Satoshi Watanabe

Department of Mechanical Engineering Science, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan and Division of Applied Science and Engineering, California Institute of Technology, 1200 E. California Boulevard, Pasadena, CA 91125

Christopher E. Brennen

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

J. Fluids Eng 125(2), 283-292 (Mar 27, 2003) (10 pages) doi:10.1115/1.1524588 History: Received February 01, 2002; Revised August 15, 2002; Online March 27, 2003
Copyright © 2003 by ASME
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References

Figures

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Propeller being operated at the center of axis
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Steady characteristics of noncavitating propeller with the constant exit flow angle of β=25 deg. The propeller is located at the center of the duct with cross-sectional areas of A/ap=1, 2, and 10.
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Effect of cavitation number on thrust coefficient CT and propeller flow coefficient Jp. The presence of cavitation is taken into account through the deviation angle of the flow exiting from the propeller [A/ap=2].
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Thrust coefficient CT versus cavitation number σ for various advance ratios J1. The effects of cavitation are taken into account through the deviation angle of the exit flow.
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Calculated transfer matrices of the cavitating propeller for an advance ratio, J1=1.0, and (K*/2π,M*)=(0.1,1.0) and for various values of A/ap=1(○•), 2(▵▴), and 10(□▪), where open and closed symbols denote real and imaginary parts of matrix elements, respectively. The change of the exit flow angle of β is neglected.
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Calculated transfer matrices of the cavitating propeller with A/ap=2 and an advance ratio, J1=1.0, for the various cavitation numbers σ=∞(○•), 0.05(▵▴), and 0.01(□▪), where open and closed symbols denote real and imaginary parts of matrix elements, respectively
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Steady cavity length and the quasi-static cavitation compliance and mass flow gain factor plotted against σ/2α obtained by a free streamline theory (Watanabe et al. 10). [solidity=1.0, stagger angle β=25.0 deg,ZN=5].
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Calculated transfer matrices of the cavitating propeller with A/ap=2 and an advance ratio, J1=1.0, for the various cavitation numbers σup=0.15(○•), 0.20(▵▴), and 0.50(□▪), where open and closed symbols denote real and imaginary parts of matrix elements, respectively. The values of cavitation compliance and mass flow gain factor are obtained from Fig. 7.
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Calculated transfer matrices of the cavitating propeller with A/ap=10 and an advance ratio, J1=1.0, for the various cavitation numbers σup=0.15(○•), 0.20(▵▴), and 0.50(□▪), where open and closed symbols denote real and imaginary parts of matrix elements, respectively. The values of cavitation compliance and mass flow gain factor are obtained from Fig. 7.
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Schematic of facility and cavitation dynamics
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Example of the system impedance, Z. Mass flow fluctuation is imposed at point e in Fig. 10. Real part of the system impedance is plotted against the various excited frequencies. [J1=0.64,σup=0.25.K* and M* are evaluated from Fig. 7.]
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Real part of the system impedance for various upstream cavitation numbers, σup.[J1=0.64.K* and M* are evaluated from Fig. 7.]
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The ratio of cavitation number to twice of incidence angle, σ/2α, is plotted for various upstream conditions σup and J1. The solid line represents the boundary of the onset of surge instability observed by Duttweiler and Brennen 2, showing that the surge instability occurs in the region below this line.

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