Linear stability of thermocapillary convection in cylindrical liquid bridges under axial magnetic fields
Linear stability of thermocapillary convection in cylindrical liquid bridges under axial magnetic fields
复制标题
DOI：
10.1017/s0022112099005698
复制
发表时间：
1999-09
影响因子：
3.7
通讯作者：
M. Prange;M. Wanschura;H. Kuhlmann;H. Rath
中科院分区：
文献类型：
--
作者：
M. Prange;M. Wanschura;H. Kuhlmann;H. Rath
利用线性稳定性理论，数值研究了轴向静磁场作用下半区域内导电流体轴对称稳态热毛细对流的稳定性。此外，考虑了基态和扰动之间的能量转移，以阐明最不稳定模式的机制。轴向磁场引起的热毛细流动的液体桥的自由表面附近的浓度。对于所考虑的低普朗特数流体，最危险的扰动是非轴对称稳态模式。发现轴向磁场对基态的稳定起作用。当加热来自下方时，稳定效果随普朗特数的增加而增加，随区域高度、自由表面处的传热速率和浮力的增加而减小。磁场也影响最不稳定模式的方位对称性。
The stability of axisymmetric steady thermocapillary convection of electrically conducting fluids in half-zones under the influence of a static axial magnetic field is investigated numerically by linear stability theory. In addition, the energy transfer between the basic state and a disturbance is considered in order to elucidate the mechanics of the most unstable mode. Axial magnetic fields cause a concentration of the thermocapillary flow near the free surface of the liquid bridge. For the low Prandtl number fluids considered, the most dangerous disturbance is a non-axisymmetric steady mode. It is found that axial magnetic fields act to stabilize the basic state. The stabilizing effect increases with the Prandtl number and decreases with the zone height, the heat transfer rate at the free surface and buoyancy when the heating is from below. The magnetic field also influences the azimuthal symmetry of the most unstable mode.