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Improvement of Bubble Model for Cavitating Flow Simulations

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Abstract

In the present research, a bubble dynamics based model for cavitating flow simulations is extended to higher void fraction region for wider range of applications. The present bubble model is based on the so-called Rayleigh-Plesset equation that calculates a temporal bubble radius with the surrounding liquid pressure and is considered to be valid in an area below a certain void fraction. The solution algorithm is modified so that the Rayleigh-Plesset equation is no more solved once the bubble radius (or void fraction) reaches at a certain value till the liquid pressure recovers above the vapor pressure in order to overcome this problem. This procedure is expected to stabilize the numerical calculation. The results of simple two-dimensional flow field are presented compared with the existing bubble model.

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Abbreviations

c:

Coefficient for pseudo- compressibility

f:

Volume fraction

J:

Jacobian

nG :

Number density

p:

Pressure

r:

Radius

Re:

Reynolds number

t:

Time

T:

Surface tension

u:

Velocity

U:

Contravariant velocity

x:

Coordinate

β:

Parameter for added mass

κ:

Specific heat ratio

μ:

Viscosity

ρ:

Density

σ:

Cavitation index

ω:

Vorticity

ξ:

Generalized coordinate

A:

Added mass bub or B— Bubble

D:

Drag

G:

Gas phase

H:

History

i:

x, y, z direction

I:

Inertia

j:

ξ, η, ζ direction

L:

Liquid phase or lift

P:

Acceleration of surrounding fluid

ν:

Vapor

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Author information

Authors and Affiliations

  1. Computational Science and Engineering, Toyo University, Kujirai 2100, Kawagoe, Saitama, 350-8585, Japan

    Y. Tamura

  2. Mechanical Engineering, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-8656, Japan

    Y. Matsumoto

Authors
  1. Y. Tamura
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  2. Y. Matsumoto
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Corresponding author

Correspondence to Y. Tamura.

Additional information

Biography: TAMURA Y. (1961-), Male, Ph. D., Professor

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Tamura, Y., Matsumoto, Y. Improvement of Bubble Model for Cavitating Flow Simulations. J Hydrodyn 21, 41–46 (2009). https://doi.org/10.1016/S1001-6058(08)60117-1

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  • DOI: https://doi.org/10.1016/S1001-6058(08)60117-1

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