Boundary integral equations as applied to an oscillating bubble near a fluid-fluid interface
Boundary integral equations as applied to an oscillating bubble near a fluid-fluid interface
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DOI：
10.1007/s00466-003-0508-2
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发表时间：
2004
影响因子：
4.1
通讯作者：
E. Klaseboer;B. Khoo
中科院分区：
文献类型：
--
作者：
E. Klaseboer;B. Khoo
本文提出了一种描述流体-流体界面附近振荡气泡行为的新方法。这种情况可以在例如水下爆炸（靠近泥底）或在由膜分离的两种（生物）流体附近产生的气泡中发现。假设拉普拉斯方程在两种流体中均成立。流体可以具有不同的密度比。在流体-流体界面正上方和正下方的两个速度势之间的关系可以用于在下一个时间步更新新界面的坐标。然后将边界积分法用于两种流体。利用所得方程，得到了界面和气泡上的法向速度。取决于气泡与流体-流体界面的初始距离和密度比，气泡可以朝向或远离该界面形成射流。重力对于较大尺寸的气泡可能很重要。
A new method is presented to describe the behaviour of an oscillating bubble near a fluid-fluid interface. Such a situation can be found for example in underwater explosions (near muddy bottoms) or in bubbles generated near two (biological) fluids separated by a membrane. The Laplace equation is assumed to be valid in both fluids. The fluids can have different density ratios. A relationship between the two velocity potentials just above and below the fluid-fluid interface can be used to update the co-ordinates of the new interface at the next time step. The boundary integral method is then used for both fluids. With the resulting equations the normal velocities on the interface and the bubble are obtained. Depending on initial distances of the bubble from the fluid-fluid interface and density ratios, the bubbles can develop jets towards or away from this interface. Gravity can be important for bubbles with larger dimensions.