PATTERN-FORMATION IN ROTATING BENARD CONVECTION

被引：33

作者：

FANTZ, M

FRIEDRICH, R

BESTEHORN, M

HAKEN, H

机构：

[1] Institut für Theoretische Physik und Synergetik, Universität Stuttgart, W-7000 Stuttgart 80

来源：

PHYSICA D | 1992年 / 61卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(92)90157-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using an extension of the Swift-Hohenberg equation we study pattern formation in the Benard experiment close to the onset of convection in the case of rotating cylindrical fluid containers. For small Taylor numbers we emphasize the existence of slowly rotating patterns and describe behaviour exhibiting defect motion. Finally, we study pattern formation close to the Kuppers-Lortz instability. The instability is nucleated at defects and proceeds through front propagation into the bulk patterns.

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页码：147 / 154

页数：8

相关论文

共 28 条

[1]

[Anonymous], 1983, SYNERGETICS INTRO

[2] TRAVELING WAVES IN NONEQUILIBRIUM SYSTEMS [J].

BESTEHORN, M ;

FRIEDRICH, R ;

HAKEN, H .

PHYSICA D, 1989, 37 (1-3) :295-299

[3] TRANSIENT PATTERNS OF THE CONVECTION INSTABILITY - A MODEL-CALCULATION [J].

BESTEHORN, M ;

HAKEN, H .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1984, 57 (04) :329-333

[4] MODULATED TRAVELING WAVES IN NONEQUILIBRIUM SYSTEMS - THE BLINKING STATE [J].

BESTEHORN, M ;

FRIEDRICH, R ;

HAKEN, H .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1989, 77 (01) :151-155

[5] TWO-DIMENSIONAL TRAVELING WAVE PATTERNS IN NONEQUILIBRIUM SYSTEMS [J].

BESTEHORN, M ;

FRIEDRICH, R ;

HAKEN, H .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1989, 75 (02) :265-274

[6] A CALCULATION OF TRANSIENT SOLUTIONS DESCRIBING ROLL AND HEXAGON FORMATION IN THE CONVECTION INSTABILITY [J].

BESTEHORN, M ;

HAKEN, H .

PHYSICS LETTERS A, 1983, 99 (6-7) :265-267

[7] THE OSCILLATORY INSTABILITY OF A SPATIALLY HOMOGENEOUS STATE IN LARGE ASPECT RATIO SYSTEMS OF FLUID-DYNAMICS [J].

BESTEHORN, M ;

FRIEDRICH, R ;

HAKEN, H .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1988, 72 (02) :265-275

[8]

BESTEHORN M, 1991, SPIRAL PATTERNS THER

[9]

BODENSCHATZ E, 1991, TRANSITION PATTERNS

[10]

Busse F. H., 1979, Recent developments in theoretical and experimental fluid mechanics. Compressible and incompressible flows, P376