Bifurcation of convection flows in a rectangular cavity subjected to uniform heat fluxes

被引：4

作者：

Nguyen, TH ^{[1
]}

Prud'homme, M ^{[1
]}

机构：

[1] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada

来源：

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 2001年 / 28卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/S0735-1933(01)00209-3

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A study is made of free convection flow in ii horizontal rectangular cavity submitted to a uniform heat flux at the horizontal as well as vertical walls. As the flow under such heating condition is quasi-parallel, it is possible to derive an equation for the flow amplitude having the canonical form phi (3) - delta phi - 9!R*/384(3) = 0 where R* is the Rayleigh number based on the heat flux applied at the side walls and delta is the reduced Rayleigh number based on the heat flux applied at the horizontal boundaries. Based on this equation, various diagrams were constructed to show the unfolding of the well-known pitchfork bifurcation. (C) 2001 Elsevier Science Ltd.

引用

页码：23 / 30

页数：8

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