Research Papers: Flows in Complex Systems

One-Dimensional Analysis Method for Cavitation Instabilities of a Rotating Machinery

[+] Author and Article Information
Satoshi Kawasaki

Japan Aerospace Exploration Agency,
1 Koganezawa,
Kakuda 981-1525, Miyagi, Japan
e-mail: kawasaki.satoshi@jaxa.jp

Takashi Shimura

Japan Aerospace Exploration Agency,
1 Koganezawa,
Kakuda 981-1525, Miyagi, Japan

Masaharu Uchiumi

Japan Aerospace Exploration Agency,
1 Koganezawa,
Kakuda 981-1525, Miyagi, Japan
e-mail: uchiumi@mmm.muroran-it.ac.jp

Yuka Iga

Institute of Fluid Science,
Tohoku University,
2-1-1, Katahira, Aoba-ku,
Sendai 980-8577, Miyagi, Japan
e-mail: iga@ifs.tohoku.ac.jp

1Corresponding author.

2Present address: Muroran Institute of Technology, 27-1 Mizumoto-cho, Muroran 050-8585, Hokkaido, Japan.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 12, 2016; final manuscript received August 22, 2017; published online November 3, 2017. Assoc. Editor: Olivier Coutier-Delgosha.

J. Fluids Eng 140(2), 021113 (Nov 03, 2017) (8 pages) Paper No: FE-16-1597; doi: 10.1115/1.4037987 History: Received September 12, 2016; Revised August 22, 2017

Rotating cavitation is an important problem, which makes it difficult to design reliable rotating machines. In this study, a simple analysis method that tried to evaluate the cavitation instabilities of a rotating machinery by using one-dimensional (1D) system analysis software was attempted. In this method, cavitation compliance and mass flow gain factor are distributed in each flow path of the inducer. Analysis results show that cavitation instabilities, including rotating phenomena, exist. With the evolved analysis model, effects of various parameters on the eigenvalues of the system were investigated. Analysis results agreed with inducer test results qualitatively. Furthermore, by the analysis considered whirl motion of the rotor, effects of it on cavitation instabilities were investigated.

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Fig. 1

Modeling image of three-bladed inducer

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Fig. 2

Simulation of inducer tip clearance with rotor whirling

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Fig. 3

Schematic diagram of the analysis model for inducer test loop

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Fig. 4

Approximate formulas of (a) cavitation compliance and (b) mass flow gain factor used by the present analysis

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Fig. 5

Root-locus plot of the system

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Fig. 6

(a) Natural frequency and (b) damping ratio of MODE-A, B, and C

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Fig. 7

Flow rate fluctuations of (a) MODE-A (SP-RC mode), (b) MODE-B (SB-RC mode), and (c) MODE-C (CS mode)

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Fig. 8

Effects of cavitation compliance on eigenvalues (σ = 0.04): (a) Root-locus plot, (b) natural frequency, and (c) damping ratio

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Fig. 9

Effects of mass flow gain factor on eigenvalues (σ = 0.04): (a) Root-locus plot, (b) natural frequency, and (c) damping ratio

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Fig. 10

Step response of the system (σ = 0.03, Cb/Cb0 = 3, Mb/Mb0 = 1): (a) Mode change from CS to rotating cavitation and (b) pressure fluctuation caused by rotating cavitation

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Fig. 11

Response to the 108 Hz (a) forward and (b) backward whirling motion of rotor (σ = 0.03, Cb/Cb0 = 3, Mb/Mb0 = 1); 108 Hz is same as the eigenvalue of rotating cavitation mode

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Fig. 12

Response to the 50 Hz (a) forward and (b) backward whirling motion of rotor (σ = 0.03, Cb/Cb0 = 3, Mb/Mb0 = 1)




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