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Research Papers: Flows in Complex Systems

Analytical Study of Cavitation Surge in a Hydraulic System

[+] Author and Article Information
Donghyuk Kang

Assistant Professor
Mechanical Engineering,
Aoyama Gakuin University,
5-10-1 Fuchinobe, Chuo-ku,
Sagamihara 252-5258, Japan
e-mail: Kang@me.aoyama.ac.jp

Kazuhiko Yokota

Professor
Mem. ASME
Mechanical Engineering,
Aoyama Gakuin University,
5-10-1 Fuchinobe, Chuo-ku,
Sagamihara 252-5258, Japan
e-mail: Yokota@me.aoyama.ac.jp

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 2, 2013; final manuscript received March 17, 2014; published online July 24, 2014. Assoc. Editor: Daniel Maynes.

J. Fluids Eng 136(10), 101103 (Jul 24, 2014) (10 pages) Paper No: FE-13-1351; doi: 10.1115/1.4027220 History: Received June 02, 2013; Revised March 17, 2014

In order to clarify effects of an accumulator, pipe lengths and gradients of pressure and suction performances on cavitation surge, one-dimensional stability analyses of cavitation surge were performed in hydraulic systems consisting of an upstream tank, an inlet pipe, a cavitating pump, a downstream pipe, and a downstream tank. An accumulator located upstream or downstream of the cavitating pump was included in the analysis. Increasing the distance between the upstream accumulator and the cavitating pump enlarged the stable region. On the other hand, decreasing the distance between the downstream accumulator and the cavitating pump enlarged the stable region. Furthermore, the negative gradient of a suction performance curve and the positive gradient of a pressure performance curve cause cavitation surge.

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References

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Figures

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Fig. 1

Suction performance curve of four bladed inducer (upper) and the amplitude of pressure oscillation (bottom), from Watanabe et al. [7]

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Fig. 2

Suction performance curve of impeller IV at 9000 rpm [8] with the amplitude of auto-oscillation indicated by ★

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Fig. 3

Analytical model of cavitation surge in the hydraulic systems

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Fig. 4

Stability map for various inlet pipe lengths with ld = 10,000

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Fig. 5

Angular frequencies for various inlet pipe lengths with ld = 10,000

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Fig. 6

Unsteady pressure and viscosity works for various inlet pipe lengths with ld = 10,000

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Fig. 7

Stability map for various outlet pipe lengths with lu = 10

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Fig. 8

Angular frequencies for various outlet pipe lengths with lu = 10

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Fig. 9

Influence of the inlet and outlet loss coefficients with lu = 10 and ld = 100

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Fig. 10

Unsteady works of the inlet pipe for point B, point C, and point D in Fig. 7

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Fig. 11

All unsteady works in the hydraulic system at point B in Fig. 7

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Fig. 12

Complex amplitudes of the unsteady outlet flow and the unsteady inlet and outlet pressures

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Fig. 13

Influence of the accumulators on the stability map: (a) influence of the accumulator upstream of the cavitation pump with ld = 10 and (b) influence of the accumulator upstream of the cavitation pump with lu = 10

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Fig. 14

Influence of flow gain on the stability map

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Fig. 15

Damping rates of cavitation surge and normal surge for flow gains at point B and point C shown in Fig. 7

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Fig. 16

Influence of pressure gain on the stability map

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Fig. 17

Damping rates of cavitation surge and normal surge for flow gains at point B and point C shown in Fig. 7

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Fig. 18

Damping rates for the phase delay of M, Rp, K, and Sp to the inlet flow oscillation with lu = 10, ld = 50

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