Bénard-Marangoni Instability in an Open Vertical Cylinder With Lateral Heating

Bénard-Marangoni Instability in an Open Vertical Cylinder With Lateral Heating
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DOI：
10.1115/imece2005-81857
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发表时间：
2005
期刊：
--
影响因子：
--
通讯作者：
B. Xu;X. Ai;B. Li
B. Xu;X. Ai;B. Li
中科院分区：
其他
文献类型：
--
作者：
B. Xu;X. Ai;B. Li

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本文对低普朗特数流体在开口垂直圆柱内的Rayleigh-Benard-Marangoni流动进行了线性稳定性分析。圆筒的侧面被加热，顶部表面被辐射冷却。采用高阶有限差分格式求解轴对称底部流动的控制方程。小扰动施加到所获得的底流，以确定临界Marangoni数和Grashof数在轴对称被打破。利用线性分式变换求解特征值矩阵方程，并考虑了带状矩阵结构。研究发现，热毛细效应稳定了浮力驱动的对流。Copyright © 2005 by ASME
A linear stability analysis of Rayleigh-Benard-Marangoni flow of low Prandtl number fluid contained in an open vertical cylinder is presented. The cylinder is heated laterally and is cooled at top surface by radiation. Governing equations of the flow are solved for axisymmetric base flow using higher order finite difference scheme. Small perturbation was applied to the obtained base flow to determine the critical Marangoni number and Grashof number at which the axisymmetry is broken. The eigenvalue matrix equation is solved using linear fractional transformation with banded matrix structure taken into account. It is found that the thermocapillary effect stabilizes the convective flow driven by buoyancy.Copyright © 2005 by ASME