Prediction of Point of Transition in Radial Liquid-Film Flow Using Linear Stability Theory Including Effect of Radial Spreading of Vortices.
Prediction of Point of Transition in Radial Liquid-Film Flow Using Linear Stability Theory Including Effect of Radial Spreading of Vortices.
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使用线性稳定性理论（包括涡流径向传播的影响）预测径向液膜流的转变点。
DOI：
10.1299/kikaib.61.473
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
T. Wakimoto
中科院分区：
文献类型：
--
作者：
T. Azuma;Takahide Watanabe;T. Wakimoto
建立了用于预测径向液膜流动中向湍流转变点的所谓EN方法的有用性。研究了流动的空间线性稳定性，包括涡径向扩展的影响。对非齐次Orr-Sommerfeld方程进行了数值求解。结果表明，考虑涡径向扩展影响的计算结果比忽略这一影响的计算结果更不稳定，这种影响随着半径的减小而增大。由固定频率的扰动演化得到的放大最大的扰动频率与壁面压力测量结果吻合较好。通过稳定性理论与实验结果的比较发现，当发生向湍流转变时，指数N约为9。
The usefulness of the so-called eN-method for predicting the point of transition to turbulence in a radial liquid-film flow is established. The spatial linear stability of the flow was investigated, including the effect of the radial spreading of vortices. The non-homogeneous Orr-Sommerfeld equation was solved numerically. It was found that the calculated result which included the effect of the radial spreading of vortices is more unstable than that neglecting the effect ; the effect increases with decreasing radius. The frequency of the most amplified disturbance, which was estimated from the evolution of disturbances with fixed frequency, was in good agreement with that detected through wall pressure measurement. It was found, from the comparison of the stability theory with experimental results, that the exponent N is about 9 when the transition to turbulence occurs.