THE EFFECT OF SIDEWALL IMPERFECTIONS ON PATTERN-FORMATION IN LAPWOOD CONVECTION

被引：19

作者：

IMPEY, MD ^{[1
]}

RILEY, DS ^{[1
]}

WINTERS, KH ^{[1
]}

机构：

[1] UKAEA,HARWELL LAB,DIV THEORET PHYS,HARWELL OX11 0RA,BERKS,ENGLAND

来源：

NONLINEARITY | 1990年 / 3卷 / 01期

关键词：

D O I：

10.1088/0951-7715/3/1/011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Analytical and numerical techniques of bifurcation theory are used to study the influence of aspect ratio and the effects of a (small) sidewall heat transfer on steady two-dimensional free convection in a saturated porous cavity heated from below. The dependence of the bifurcation structure on the Fourier decomposition of the sidewall heat flux is demonstrated using weakly nonlinear analysis and symmetry arguments, and confirmed by singularity theory applied to the bifurcation equations derived by Liapunov-Schmidt reduction.

引用

页码：197 / 230

页数：34

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