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TECHNICAL PAPERS

Steady Analysis of the Thermodynamic Effect of Partial Cavitation Using the Singularity Method

[+] Author and Article Information
Satoshi Watanabe

Faculty of Engineering,  Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395 Japanfmnabe@mech.kyushu-u.ac.jp

Tatsuya Hidaka, Hironori Horiguchi

Graduate School of Engineering Science,  Osaka University, 1-3 Machikaneyama, Toyonaka, 560-8531 Japan

Akinori Furukawa

Faculty of Engineering,  Kyushu University, 744 Motooka, Nishi-ku, Fukuoka, 819-0395 Japan

Yoshinobu Tsujimoto

Graduate School of Engineering Science,  Osaka University, 1-3 Machikaneyama, Toyonoka, 560-8531 Japan

J. Fluids Eng 129(2), 121-127 (Jul 03, 2006) (7 pages) doi:10.1115/1.2409333 History: Received October 20, 2005; Revised July 03, 2006

It is well known that the suction performance of turbopumps in cryogenic fluids is much better than that in cold water because of the thermodynamic effect of cavitation. In the present study, an analytical method to simulate partially cavitating flow with the thermodynamic effect in a cascade is proposed; heat transfer between the cavity and the ambient fluid is modeled by a one-dimensional unsteady heat conduction model under the slender body approximation and is coupled with a flow analysis using singularity methods. In this report, the steady analysis is performed and the results are compared with those of experiments to validate the model of the present analysis. This analysis can be easily extended into unsteady stability analysis for cavitation instabilities such as rotating cavitation and cavitation surge.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Model for present analysis

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Figure 2

Heat conduction model on cavity surface

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Figure 3

Control volume for continuity equation

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Figure 4

Numerical results for steady cavity length in the case of R-114 C∕h=2.0, β=78.8, α=4.32deg, and ε=8000

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Figure 5

Experimental results for cavity length in the case of R-114 and cold water (see Ref. 10)

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Figure 6

Distribution of the quantity of the source along the cavity surface in the case of R-114, 290K

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Figure 7

Vapor flow coefficient required for formation for cavity

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Figure 8

Numerical results for steady cavity length in the case of R-114, C∕h=2.0, β=78.8, α=4.32deg, and ε=1000

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Figure 9

Numerical results for temperature depression in the case of R-114, C∕h=2.0, β=78.8, α=4.32deg, and ε=1000

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Figure 10

Experimental results for temperature depression with R-114 (see Ref. 10)

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