On Howard's technique for perturbing neutral solutions of the Taylor-Goldstein equation
On Howard's technique for perturbing neutral solutions of the Taylor-Goldstein equation
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关于霍华德扰动泰勒-戈德斯坦方程中性解的技术
DOI：
10.1017/s0022112073001205
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发表时间：
1973
影响因子：
3.7
通讯作者：
H. Huppert
中科院分区：
文献类型：
--
作者：
H. Huppert
霍华德的技术检查的稳定性特性的二维，无粘，非均匀剪切流在附近的中性曲线被认为是。给出的例子，其中错误的结论将获得直接解释这种技术的结果。不稳定的例子将推导出一个稳定的区域;一个例子，稳定性将推导出一个不稳定的区域;和一个例子，该技术完全崩溃进行了讨论。最后一个例子是两个刚性壁之间的平面Couette流，这是不稳定的稳定分层的增加。因此，这个例子证明了基本涡量廓线中相对极值的存在不是无粘非均匀剪切流不稳定的必要条件。
Howard's technique for examining the stability characteristics of a two-dimensional, inviscid, heterogeneous shear flow in the vicinity of a neutral curve is considered. Examples are presented for which erroneous conclusions would be obtained by a direct interpretation of the results of this technique. Examples for which instability would be deduced for a stable region; an example for which stability would be deduced for an unstable region; and an example for which the technique breaks down altogether are discussed. The last example is plane Couette flow between two rigid walls, which is shown to be destabilized by the addition of stable stratification. This example thus proves that the existence of a relative extremum in the basic vorticityprofile is not a necessary condition for the instability of an inviscid, heterogeneous shear flow.