MOTION OF A VORTEX NEAR A FREE-SURFACE

被引:15
作者
TYVAND, PA
机构
[1] Department of Agricultural Engineering, Agricultural University of Norway
关键词
D O I
10.1017/S0022112091002227
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The early motion of a single vortex suddenly placed near a free surface is studied analytically. The general initial/boundary-value problem is solved in terms of a Taylor expansion in time. The vortex position and the surface elevation are determined to third order. We find a precise distinction between subcritical (weak) and supercritical (strong) vortices. All vortices start with retrograde horizontal motion. After a short time, subcritical vortices tend to turn and continue their motion in the prograde direction. Supercritical vortices cannot turn, but will continue their retrograde motion. They will accumulate a surface mound until surface breaking eventually occurs.
引用
收藏
页码:673 / 686
页数:14
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