Commun. Comput. Phys., 7 (2010), pp. 212-223.


Simulation of 2D Cavitation Bubble Growth Under Shear Flow by Lattice Boltzmann Model

Xiaopeng Chen 1*

1 School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China; and Multidisciplinary Research Group for Virtual and Real Environment, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China.

Received 8 January 2009; Accepted (in revised version) 11 May 2009
Available online 4 August 2009
doi:10.4208/cicp.2009.09.015

Abstract

Natural cavitation is defined as the phenomenon of the formation of vapor bubbles in a flow due to the pressure falls below the liquid's vapor pressure. The inception of the cavitation bubble is influenced by many factors, such as impurities, turbulence, liquid thermal properties etc. In this paper, we simulate a 2D cavitation "bubble" growth under shear flow in the inception stage by Single-Component-Multiphase Lattice Boltzmann Model (SCMP LBM). An empirical boundary condition sensitive 2D bubble growth rate, $R \sim e^t$, is postulated. Furthermore, the comparison is conducted for bubble behavior under different shear rates. The results show that the cavitation bubble deformation is coincident with prior droplet theories and the bubble growth decreases slightly with the flow shear rate.

AMS subject classifications: 76T10, 76M28, 65Z05

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Key words: Bubble dynamics, cavitation, lattice Botlzmann methods, Rayleigh-Plesset equation.

*Corresponding author.
Email: xchen76@nwpu.edu.cn (X. P. Chen)
 

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