论文部分内容阅读
研究了热对流驱动下的同轴旋转圆筒的线性稳定性问题．模拟内外圆筒温差引起的热浮力采用了Boussinesq假设,双圆筒同向旋转,其半径比为0．5, Prandtl数为0．709．通过分析发现,由于圆筒旋转离心失稳和热浮力剪切失稳两种机制的互相竞争,临界失稳中性曲线发现间断现象,失稳模态产生跳跃,形成“孤岛”效应．在研究稳定性问题的同时还对求解圆筒稳定性问题的数值方法进行了研究和探讨．
The problem of linear stability of a coaxial rotating cylinder driven by convection was studied. The thermal buoyancy caused by the temperature difference between the inner and outer cylinders was simulated by Boussinesq. The double cylinders rotate in the same direction with a radius ratio of 0.5 and a Prandtl number of 0.709. It is found through the analysis that due to the mutual competition of rotating centrifuge instability and thermal buoyancy shearing instability, the critical instability neutral curve shows discontinuity and the instability mode jumps to form “islanding” effect. While studying the stability problem, numerical methods for solving the problem of stability of the cylinder are also studied and discussed.