An oscillating bubble near an elastic material
An oscillating bubble near an elastic material
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DOI：
10.1063/1.1803925
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发表时间：
2004-11-15
影响因子：
3.2
通讯作者：
Khoo, BC
中科院分区：
文献类型：
--
作者：
Klaseboer, E;Khoo, BC
提出了一种描述第二弹性（生物）流体附近流体中振荡气泡行为的方法。第二流体的弹性通过两种流体之间的界面处的压力项来建模。假设拉普拉斯方程在每种流体中有效，并且允许相应密度的差异。在此基础上，利用边界积分法求解气泡界面和液-液界面处的法向速度，得到液-液界面上、下两个速度势之间的关系。这些所述法向速度随后用于更新下一个时间步长的界面的位置。对于在第二非弹性流体附近振荡的气泡，气泡可以形成朝向或远离流体-流体界面的射流（取决于气泡距流体-流体界面的距离和两种流体的密度比）。当第二流体具有某些弹性特性时，这种行为可以被极大地修改。这种弹性使一个小的扰动沿着气泡表面传播。这种增长的扰动与处于其坍缩阶段的气泡之间的复杂相互作用可以导致气泡呈现“蘑菇”形状和/或甚至分裂成两个较小的气泡。当第二流体中不存在弹性时，没有观察到这些现象。在很宽的参数范围内获得了与实验数据的良好一致性。(C)2004年，美国物理学会。
A method is presented to describe the behavior of an oscillating bubble in a fluid near a second elastic (biological) fluid. The elasticity of the second fluid is modeled through a pressure term at the interface between the two fluids. The Laplace equation is assumed to be valid in each of the fluids, and a difference in the respective densities is allowed. A relationship between the two velocity potentials just above and below the fluid-fluid interface can be found. The boundary integral method is then used to solve for the unknown normal velocities at both the bubble interface and fluid-fluid interface. These said normal velocities are subsequently utilized to update the position of the interface(s) for the next time step. For bubbles oscillating near a second nonelastic fluid, the bubbles can develop a jet towards or away from the fluid-fluid interface (depending on the distance of the bubble from the fluid-fluid interface and the density ratios of the two fluids). This behavior can be greatly modified when the second fluid possesses some elastic properties. The elasticity causes a small perturbation to travel along the surface of the bubble. A complex interaction between this growing perturbation and the bubble in its collapse phase can lead to the bubble assuming a "mushroom" shape and/or even breakup into two smaller bubbles. These phenomena have not been observed when the elasticity is absent in the second fluid. Excellent agreement with experimental data was obtained for a wide range of parameters. (C) 2004 American Institute of Physics.