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Far downstream analysis for the Blasius boundary-layer stability problem

By M.R. Turner


In this paper we examine the large Reynolds number, Re, asymptotic structure of\ud the wavenumber in the Orr-Sommerfeld region, for the Blasius boundary-layer on a semi-infinite flat plate given by Goldstein (1). We show that the inclusion of the term which contains the leading order non-parallel effects, at O(Re^{−1/2}), leads to a non-uniform expansion. By considering the far downstream form of each term in the asymptotic expansion, we derive a length scale at which the non-uniformity appears, and compare this position with the position seen in plots of the wavenumber

Topics: G100 Mathematics
Publisher: Oxford University Press
Year: 2007
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