DROP FORMATION IN A ONE-DIMENSIONAL APPROXIMATION OF THE NAVIER-STOKES EQUATION

被引:472
作者
EGGERS, J
DUPONT, TF
机构
[1] UNIV CHICAGO,DEPT MATH,CHICAGO,IL 60637
[2] UNIV CHICAGO,ENRICO FERMI INST,CHICAGO,IL 60637
[3] UNIV CHICAGO,DEPT COMP SCI,CHICAGO,IL 60637
关键词
D O I
10.1017/S0022112094000480
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We consider the viscous motion of a thin axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the Navier-Stokes equation. We compare our results with recent experiments on the breakup of a liquid jet and on the bifurcation of a drop suspended from an orifice. The equations form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.
引用
收藏
页码:205 / 221
页数:17
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