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Research Papers: Multiphase Flows

Numerical Prediction of Impact Force in Cavitating Flows

[+] Author and Article Information
Hong Wang

Institute of Nuclear and New Energy Technology, Tsinghua University, Beijing, 100084, ChinaHongw@mail.tsinghua.edu.cn

Baoshan Zhu

Department of Thermal Engineering and State Key Laboratory of Hydroscience, Tsinghua University, Beijing 100084, Chinabszhu@mail.tsinghua.edu.cn

J. Fluids Eng 132(10), 101301 (Oct 06, 2010) (9 pages) doi:10.1115/1.4002506 History: Received December 11, 2008; Revised August 30, 2010; Published October 06, 2010; Online October 06, 2010

A numerical method including a macroscopic cavitation model based on the homogeneous flow theory and a microscopic cavitation model based on the bubble dynamics is proposed for the prediction of the impact force caused by cavitation bubble collapse in cavitating flows. A large eddy simulation solver, which is incorporated with a macroscopic cavitation model, is applied to simulate the unsteady cavitating flows. Based on the simulated flow field, the evolution of the cavitation bubbles is determined by a microscopic cavitation model from the resolution of a Rayleigh–Plesset equation including the effects of the surface tension, the viscosity and compressibility of fluid, the thermal conduction and radiation, the phase transition of water vapor at the interface, and the chemical reactions. The cavitation flow around a hydrofoil is simulated to validate the macroscopic cavitation model. A good quantitative agreement is obtained between the prediction and the experiment. The proposed numerical method is applied to predict the impact force at cavitation bubble collapse on a KT section in cavitating flows. It is found that the shock pressure caused by cavitation bubble collapse is very high. The impact force is predicted qualitatively compared with the experimental data.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Computational domain and grid, and grid distribution near the hydrofoil for α=4 deg: (a) whole domain and (b) local region around the hydrofoil

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Figure 2

The distribution of the averaged liquid volume fraction

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Figure 3

Pressure distribution around NACA66-209: (a) averaged pressure distribution on suction side, (b) time histories of unsteady pressure on the given points (see Fig. 3), and (c) rms pressure on the given points (see Fig. 3)

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Figure 4

Configuration of foil section for impact force study (KT section, L=150 mm, s=149 mm)

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Figure 5

Instantaneous liquid volume fraction and pressure distribution on a KT section at nondimensional instant t∗=19: (a) pressure distribution on the KT section body surface and (b) liquid volume fraction distribution around a KT section

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Figure 6

Instantaneous liquid volume fraction and pressure distribution on a KT section at nondimensional instant t∗=20: (a) pressure distribution on the KT section body surface and (b) liquid volume fraction distribution around a KT section

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Figure 7

Time-averaged flow field around KT section: (a) time-averaged velocity and pressure distribution and (b) rms pressure distribution

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Figure 8

Cloud cavitation around KT section: (a) the predicted time-averaged liquid volume fraction and (b) flow visualization of cloud cavitation (4)

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Figure 9

Factor K of cavity generation rate calculated by Eq. 18

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Figure 10

Trajectories of bubbles, which will collapse probably near the wall at the rear part of KT section

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Figure 11

Pressure histories along the trajectory of a given bubble in the flow filed

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Figure 12

Time histories of bubble diameter and pressure inside bubble in case 2: (a) time histories of bubble diameter of a given bubble flowing along the trajectory (Fig. 1) and (b) time histories of pressure inside the given bubble flowing along the trajectory (Fig. 1)

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Figure 13

Time histories of bubble diameter and pressure in case 4: (a) time histories of bubble diameter of a given bubble flowing along the trajectory (Fig. 1) and (b) time histories of pressure inside the given bubble flowing along the trajectory (Fig. 1)

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