The application of multi-scale perturbation method to the stability analysis of plane couette flow
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This paper applies the multi-scale perturbation method suggested by Ref.  to investigate the linear stability behavior of distorted plane Couette flow. Using this method, the unstable Tollmien-Schlichting wave in plane Couette flow can be found. but not the most unstable mode. By comparing the results of this paper with those of Ref. , the effectiveness of this method is investigated.
Key wordsstability multi-scale perturbation method bifurcation from infinity
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