TAYLOR VORTEX FORMATION IN AXIAL THROUGH-FLOW - LINEAR AND WEAKLY NONLINEAR-ANALYSIS

被引：101

作者：

RECKTENWALD, A ^{[1
]}

LUCKE, M ^{[1
]}

MULLER, HW ^{[1
]}

机构：

[1] ECOLE NORMALE SUPER LYON, PHYS LAB, F-69364 LYON, FRANCE

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.48.4444

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：

To describe the pattern formation just above the first instability of the rotating Couette-Taylor system in the presence of an externally imposed axial through-how, an amplitude equation has been derived for the case of a stationary outer cylinder. All linear and nonlinear coefficients of this complex Ginzburg-Landau equation have been calculated numerically and are expressed for a wide range of radius ratios as a function of through-how strength for small Reynolds numbers. A shooting method has been used to obtain the critical properties of the system. Also, the boundary of the convectively unstable regime has been determined.

引用

页码：4444 / 4454

页数：11

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