Non-Boussinesq rolls in 2d thermal convection

被引：0

作者：

Málaga, C. ^{[1
]}

Mandujano, F. ^{[1
]}

Peralta-Fabi, R. ^{[1
]}

Arzate, C. ^{[1
]}

机构：

[1] Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, México D.F. 04510, Mexico

来源：

European Journal of Mechanics, B/Fluids | 2015年 / 49卷 / PART A期

关键词：

Cytology - Heat convection;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A study of convection in a circular two dimensional cell is presented. The system is heated and cooled at two diametrically opposed points on the edge of the circle, which are parallel or anti-parallel to gravity. The latter's role in the plane of the cell can be changed by tilting the cell. When the system is in a horizontal position, a non-trivial analytic solution for the temperature distribution of the quiescent fluid can be found. For a slight inclination, the projection of gravity in the plane of the cell is used as a perturbation parameter in the full hydrodynamic description, as the Boussinesq approximation is unjustified. To first order, the equations are solved for the stationary case and four symmetrical rolls become apparent, showing that a purely conductive state is impossible if gravity-however small-is present; an approximate closed analytical expression is obtained, which describes the four convection rolls. Further analysis is done by a direct numerical integration. Comparison with preliminary observations is mentioned. © 2014 Elsevier Masson SAS. All rights reserved.

引用

页码：65 / 70