Numerical Simulation of the Evolution of a Gas Bubble in a Liquid Near a Wall

被引:18
作者
Aganin A.A. [1 ]
Kosolapova L.A. [1 ]
Malakhov V.G. [1 ]
机构
[1] Institute of Mechanics and Engineering, Kazan Science Center, Russian Academy of Sciences (IME KazSC RAS), Kazan
基金
俄罗斯基础研究基金会;
关键词
boundary element method; cavitation bubble; potential liquid flow;
D O I
10.1134/S2070048218010027
中图分类号
学科分类号
摘要
A numerical technique based on the application of the boundary element method is proposed for studying the axially symmetric dynamics of a bubble in a liquid near a solid wall. It is assumed that the liquid is ideally incompressible and its flow is potential. The process of expansion and contraction of a spheroidal bubble is considered, including the toroidal phase of its movement. The velocity and pressure fields in the liquid surrounding the bubble are evaluated along with the shape of the bubble surface and the velocity of its displacement. The numerical convergence of the algorithm with an increase in the number of boundary elements and a refinement of the time step is shown, and comparison with the experimental and numerical results of other authors is performed. The capabilities of the technique are illustrated by solving a problem of collapse of a spheroidal bubble in water. The bublle is located a short distance from the wall. © 2018, Pleiades Publishing, Ltd.
引用
收藏
页码:89 / 98
页数:9
相关论文
共 27 条
[1]  
Kedrinskii V.K., Hydrodynamics of Explosion: Experiments and Models, (2000)
[2]  
Plesset M.S., Chapman R.B., Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary, J. Fluid Mech., 47, pp. 283-290, (1971)
[3]  
Kornfeld M., Suvorov L., On the destructive action of cavitation, J. Appl. Phys., 15, pp. 495-506, (1944)
[4]  
Popinet S., Zaleski S., Bubble collapse near a solid boundary: a numerical study of the influence of viscosity, J. Fluid Mech., 464, pp. 137-163, (2002)
[5]  
Johnsen E., Colonius T., Numerical simulations of non-spherical bubble collapse, J. Fluid Mech., 629, pp. 231-262, (2009)
[6]  
Turangan C.K., Ball G.J., pp. 793-799, (2001)
[7]  
Voinov O.V., Voinov V.V., Numerical method of calculating non-stationary motions of ideal incompressible fluid with free surface, Sov. Phys. Dokl., 20, (1975)
[8]  
Voinov O.V., Voinov V.V., On the process of collapse of a cavitation bubble near a wall and the formation of a cumulative jet, Sov. Phys. Dokl., 21, (1976)
[9]  
Blake J.R., Taib B.B., Doherty G., Transient cavities near boundaries, J. Fluid Mech., 170, pp. 479-497, (1986)
[10]  
Wang Q.X., The evolution of a gas bubble near an inclined wall, Theor. Comput. Fluid Dyn., 12, pp. 29-51, (1998)