SCALE-INVARIANT REGIME IN RAYLEIGH-TAYLOR BUBBLE-FRONT DYNAMICS

被引：42

作者：

ALON, U ^{[1
]}

SHVARTS, D ^{[1
]}

MUKAMEL, D ^{[1
]}

机构：

[1] WEIZMANN INST SCI,DEPT PHYS,IL-76100 REHOVOT,ISRAEL

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.48.1008

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A statistical model of Rayleigh-Taylor bubble fronts in two dimensions is introduced. Float and merger of bubbles lead to a scale-invariant regime, with a stable distribution of scaled bubble radii and a constant front acceleration. The model is solved for a simple merger law, showing that a family of such stable distributions exists. The basins of attraction of each of these are mapped. The properties of the scale-invariant distributions for various merger laws, including a merger law derived from the Sharp-Wheeler model, are analyzed. The results are in good agreement with computer simulations. Finally, it is shown that for some merger laws, a runaway bubble regime develops. A criterion for the appearance of runaway growth is presented.

引用

页码：1008 / 1014

页数：7

共 14 条

[1] STABLE-DISTRIBUTIONS OF GROWING AND COALESCING DROPLETS [J].