Vilenkin Arkady, Meerson Baruch, Sasorov Pavel V
Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
Phys Rev Lett. 2006 Feb 3;96(4):044504. doi: 10.1103/PhysRevLett.96.044504. Epub 2006 Feb 1.
We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of a self-similar dumbbell shape and find nontrivial dynamic exponents that characterize scaling behavior of the dumbbell dimensions.
我们研究了在Hele-Shaw盒中，被困在粘性流体内部的无粘性流体的长直条带通过表面张力进行的准二维弛豫。结合解析解和数值解，我们描述了自相似哑铃形状的出现，并发现了表征哑铃尺寸缩放行为的非平凡动态指数。
