Abstract

In this article, the nonparallel stability of the so-called Taylor flow induced by wall injection is investigated. This flow is unstable due to nonparallel effects which have not been rigorously treated yet. Only inconsistent methods have been used. They give good results in comparison to the experiments but they suffer from a lack of justification and from the dependency of the results on the formulation. The necessity of using inconsistent methods instead of the Orr–Sommerfeld approach is justified in this article and a much more rigorous asymptotic analysis is performed in the limit of the large streamwise distances.

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