论文标题
气泡夹在一个从水平肥皂泡沫中掉落的球
Bubble entrainment by a sphere falling through a horizontal soap foam
论文作者
论文摘要
我们通过稳定的水平肥皂膜模拟球形粒子的准静态运动。肥皂膜在$ 10-135^\ Circ $的范围内将一个固定的接触角度缩小，并在其中符合粒子。在两种情况下计算出作用在粒子上的张力和压力力：当膜保持在垂直圆柱体中时，捕获气泡，但否则可以垂直移动，而当膜的外部边缘保持在固定的圆形线框架中时。在第二种情况下，膜变形更大，因此相互作用的持续时间增加，增加了粒子和膜之间的接触时间。随着粒子通过后，肥皂膜返回其平衡形状，将小气泡捕获，以低于$ 90^\ circ $的阈值。我们表明，当粒子较大并且接触角较小时，这种气泡会更大。
We simulate the quasi-static motion of a spherical particle through a stable, horizontal soap film. The soap film subtends a fixed contact angle, in the range $10-135^\circ$, where it meets the particle. The tension and pressure forces acting on the particle are calculated in two cases: when the film is held within a vertical cylinder, trapping a bubble but otherwise free to move vertically, and when the outer rim of the film is held in a fixed circular wire frame. Film deformation is greater in the second case, and the duration of the interaction therefore increases, increasing the contact time between particle and film. As the soap film returns towards its equilibrium shape following the passage of the particle a small bubble is trapped for contact angles below a threshold value of $90^\circ$. We show that this bubble is larger when the particle is larger and when the contact angle is smaller.
