摘要
对转轴与多孔介质远离时离心力场下多孔介质中的自然对流进行了线性稳定性分析,考虑了重力、离心力、哥氏力的共同作用.结果表明:当离心力与温度梯度同方向时,只要满足离心多孔介质瑞利数Ra>7.81π2或考虑了多孔介质偏移距离的离心多孔介质瑞利数Ra0>4π2,多孔介质中即可发生重力、离心力与哥氏力共同驱动的自然对流,并且重力与哥氏力对离心力场下多孔介质中自然对流的稳定性判据均无影响.
Linear stability analysis was conducted for the natural convection flow in porous media when the media is far away from the axis, with consideration for the combined action of gravity, centrifugal and coriolis forces in the centrifugal force field. The results show that when temperature gradients are collinear with the centrifugal force, natural convection induced by the combined action of gravity, centrifugal and coriolis forces in porous media will occur as long as Ra 〉 7. 81π^2 or Rao （considering the excursionary distance of porous media）〉4π^2. Furthermore, gravity and coriolis forces have no effect on the stability criterion of the natural convection in porous media in a centrifugal force field.
基金
国家自然科学基金(50276027)
国防基础科研资助项目(J1400D001)资助
关键词
多孔介质
热驱动
稳定性
旋转
封闭腔体
porous media
thermal drive
stability
rotation
enclosure
