Doshi Pankaj, Cohen Itai, Zhang Wendy W, Siegel Michael, Howell Peter, Basaran Osman A, Nagel Sidney R
School of Chemical Engineering, Purdue University, West Lafayette, IN 47907, USA.
Science. 2003 Nov 14;302(5648):1185-8. doi: 10.1126/science.1089272.
A low-viscosity drop breaking apart inside a viscous fluid is encountered when air bubbles, entrained in thick syrup or honey, rise and break apart. Experiments, simulations, and theory show that the breakup under conditions in which the interior viscosity can be neglected produces an exceptional form of singularity. In contrast to previous studies of drop breakup, universality is violated so that the final shape at breakup retains an imprint of the initial and boundary conditions. A finite interior viscosity, no matter how small, cuts off this form of singularity and produces an unexpectedly long and slender thread. If exterior viscosity is large enough, however, the cutoff does not occur because the minimum drop radius reaches subatomic dimensions first.
当裹挟在浓稠糖浆或蜂蜜中的气泡上升并破裂时，会遇到低粘度液滴在粘性流体中破碎的情况。实验、模拟和理论表明，在可忽略内部粘度的条件下发生的破裂会产生一种特殊形式的奇点。与之前对液滴破裂的研究不同，普遍性被打破，以至于破裂时的最终形状保留了初始条件和边界条件的印记。无论内部粘度多小，有限的内部粘度都会消除这种奇点形式，并产生一条意外长且细的细丝。然而，如果外部粘度足够大，奇点消除就不会发生，因为液滴的最小半径会首先达到亚原子尺寸。
