Simple asymptotics for the temporal spectrum of an Orr-Sommerfeld problem

We analyse asymptotic approximations to the eigenvalue relation for the even modes of plane Poiseuille flow for large but finite values of the Reynolds number. By using outer approximations which are valid in the complete sense, we obtain a result which is remarkably simple and for which the relativ...

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Bibliographic Details
Published inApplied mathematics letters Vol. 13; no. 3; pp. 51 - 55
Main Authors Ng, B.S., Reid, W.H.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2000
Subjects
Asymptotic analysis
Eigenvalue relation
Hydrodynamic stability
Spectrum
Hydrodynamic stability
Asymptotic analysis
Eigenvalue relation
Spectrum
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Summary:We analyse asymptotic approximations to the eigenvalue relation for the even modes of plane Poiseuille flow for large but finite values of the Reynolds number. By using outer approximations which are valid in the complete sense, we obtain a result which is remarkably simple and for which the relative error is of order R−12.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(99)00185-8