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Research Papers: Flows in Complex Systems

Evaluation of the Dynamic Transfer Matrix of Cavitating Inducers by Means of a Simplified “Lumped-Parameter” Model

[+] Author and Article Information
Angelo Cervone

Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japanangcervone@mbox.me.es.osaka-u.ac.jp

Yoshinobu Tsujimoto

Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japantujimoto@me.es.osaka-u.ac.jp

Yutaka Kawata

 Osaka Institute of Technology, 5-6-1 Omiya, Asahi-Ku, Osaka 535-8505, Japankawata@med.oit.ac.jp

J. Fluids Eng 131(4), 041103 (Mar 09, 2009) (9 pages) doi:10.1115/1.3089535 History: Received February 06, 2008; Revised January 19, 2009; Published March 09, 2009

The paper will present an analytical model for the evaluation of the pressure and flow rate oscillations in a given axial inducer test facility. The proposed reduced order model is based on several simplifying assumptions and takes into account the facility design and the dynamic properties of the tested inducer. The model has been used for evaluating the dynamic performance of a prototype of the LE-7 engine liquid oxygen (LOX) inducer, in tests carried out under given external flow rate excitations. The main results of these calculations will be shown, including the expected oscillations under a wide range of operational conditions and the influence of facility design. Calculations showed that the only way to obtain the two linearly independent test conditions, necessary for evaluating the inducer transfer matrix, is by changing the facility suction line: Any other changes in the facility design would result ineffective. Some other important design indications provided by the analytical model will be presented in the paper.

Copyright © 2009 by American Society of Mechanical Engineers
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Figures

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Figure 1

Schematic of the experimental facility

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Figure 2

The test inducer

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Figure 3

Amplitude of the upstream pressure oscillations, as a function of the excitation frequency ω and the flow coefficient ϕ (cavitating conditions), for Ω=3000 rpm, σ=0.1, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 4

Amplitude of the downstream pressure oscillations, as a function of the excitation frequency ω and the flow coefficient ϕ (cavitating conditions), for Ω=3000 rpm, σ=0.1, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 5

Amplitude of the upstream flow rate oscillations, as a function of the excitation frequency ω and the flow coefficient ϕ (cavitating conditions), for Ω=3000 rpm, σ=0.1, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 6

Amplitude of the downstream flow rate oscillations, as a function of the excitation frequency ω and the flow coefficient ϕ (cavitating conditions), for Ω=3000 rpm, σ=0.1, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 7

Amplitude and phase of the upstream pressure oscillations, as a function of the excitation frequency ω (cavitating conditions), for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 8

Amplitude and phase of the downstream pressure oscillations, as a function of the excitation frequency ω (cavitating conditions), for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 9

Amplitude and phase of the upstream flow rate oscillations, as a function of the excitation frequency ω (cavitating conditions), for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 16

Real and imaginary parts of the element HM21 of the dynamic matrix, as functions of flow coefficient ϕ, for Ω=3000 rpm, σ=0.1, ω=5 Hz, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 15

Real and imaginary parts of the element HM12 of the dynamic matrix, as functions of flow coefficient ϕ, for Ω=3000 rpm, σ=0.1, ω=5 Hz, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 14

Determinant of the evaluation matrix T, as a function of the flow coefficient ϕ, for Ω=3000 rpm, σ=0.1, ω=5 Hz, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 13

Real and imaginary parts of the element HM21 of the dynamic matrix, as functions of the excitation frequency ω, for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 12

Real and imaginary parts of the element HM12 of the dynamic matrix, as functions of the excitation frequency ω, for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 11

Determinant of the evaluation matrix T, as a function of the excitation frequency ω, for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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Figure 10

Amplitude and phase of the downstream flow rate oscillations, as a function of the excitation frequency ω (cavitating conditions), for Ω=3000 rpm, σ=0.1, ϕ=0.078, and amplitude of the flow rate oscillations generated by the fluctuator equal to 1 l/s

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