The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting round the cylinders
The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting round the cylinders
复制标题
旋转同心圆柱体之间粘性流的稳定性，圆柱体周围存在压力梯度
DOI：
10.1017/s0022112059000751
复制
发表时间：
1959
影响因子：
3.7
通讯作者：
R. DiPrima
中科院分区：
文献类型：
--
作者：
R. DiPrima
本文分析了同心圆柱体之间粘性流体的稳定性，在这种情况下，基本速度分布是由圆柱体旋转引起的速度分布（Taylor 1923）和由圆柱体周围的压力梯度引起的“泵送”速度分布（Dean 1928）的总和。对于外筒静止的情况，计算临界泰勒数的范围很广，即平均泵送速度与平均旋转速度之比。假设圆柱体之间的间距很小。
The stability of a viscous fluid between concentric cylinders is analysed, for the case in which the basic velocity distribution is the sum of a velocity distribution due to the rotation of the cylinders (Taylor 1923), and a ‘pumping’ velocity distribution due to a pressure gradient acting round the cylinders (Dean 1928). The critical Taylor number is computed for a wide range of values of the ratio of average velocity of pumping to average velocity of rotation for the case in which the outer cylinder is stationary. It is assumed that the spacing between the cylinders is small.