On the stability of fully developed flow in a pipe
On the stability of fully developed flow in a pipe
复制标题
关于管道中充分发展的流动的稳定性
DOI：
10.1017/s0022112059000088
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发表时间：
1959
影响因子：
3.7
通讯作者：
J. Sellars
中科院分区：
文献类型：
--
作者：
G. Corcos;J. Sellars
本文重新研究了充分发展管流中轴对称扰动的稳定性。经典的特征值问题部分地用渐近方法处理，并导出了特征值c、扰动波长2π/α和雷诺数之间的代数关系。对这种关系的极限情况的考察揭示了两族特征数的存在，当雷诺数无限制地增加时，这两族特征数的值趋于1和0。对于后者，需要并给出更精确的解。发现所有的特征值产生稳定的解决方案，并为一个给定的波数和雷诺数只有有限数量的特征值存在。分析的局限性进行了讨论，根据最近的实验研究相同的问题。
The stability of infinitesimal axially symmetric disturbances in fully developed pipe flow is examined anew. The classical eigenvalue problem is treated in part by asymptotic methods and leads to an algebraic relation between the eigenvalue c, the disturbance wavelength 2π/α, and the Reynolds number. Examination of the limiting cases of this relation reveals the existence of two families of characteristic numbers, the value of which tends to unity and to zero as the Reynolds number increases without bounds. For the latter, a more accurate solution is required and given. It is found that all eigenvalues yield stable solutions and that for a given wave number and Reynolds number only a finite number of eigenvalues exists. The limitations of the analysis are discussed in the light of a recent experimental study of the same problem.