Natural convection between two horizontal coaxial cylinders

被引：11

作者：

Passerini, Arianna ^{[2
]}

Ruzicka, Michael ^{[3
]}

Thaeter, Gudrun ^{[1
]}

机构：

[1] Univ Heidelberg, Fak Math, D-69120 Heidelberg, Germany

[2] Univ Ferrara, I-44100 Ferrara, Italy

[3] Univ Freiburg, Inst Angew Math, D-79104 Freiburg, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2009年 / 89卷 / 05期

关键词：

Oberbeck-Boussinesq; symmetric steady flow; stability; CONCENTRIC CYLINDERS; CYLINDRICAL ANNULUS; APPROXIMATION; STABILITY; FLOWS;

D O I：

10.1002/zamm.200800222

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of our paper is to start the theoretical investigation of the most commonly used mathematical model for natural convection in a horizontal annulus. First, one shows existence of solutions for the unsteady problem. Then, for any Prandtl number and inverse relative gap width, existence, and stability of a steady solution is proved, provided that the Rayleigh number is sufficiently small. The same is also proved for any Rayleigh number provided the inverse relative gap width is sufficiently small. Furthermore, exponential decay to the steady symmetric solution and uniqueness hold true under stronger restrictions to the Rayleigh number. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：399 / 413

页数：15

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