Neutral curve behaviour in Taylor-Dean flow

Name: Neutral curve behaviour in Taylor-Dean flow
Creator: Kachoyan, B. J.
Keywords: Rayleigh's criterion, infinite Taylor-Dean flow, class of neutral curve, General theory of rotating fluids, Boundary-layer theory, separation and reattachment, higher-order effects, Navier-Stokes equations, 0101 mathematics, 16. Peace & justice, asymptotic expansions, 01 natural sciences

Kachoyan, B. J.

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Zeitschrift für ange...arrow_drop_down

Zeitschrift für angewandte Mathematik und Physik

Article . 1987 . Peer-reviewed

License: Springer TDM

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zbMATH Open

Article . 1987

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https://dx.doi.org/10.1007/bf0...

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Neutral curve behaviour in Taylor-Dean flow

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1987 English Publisher:Springer Science and Business Media LLCJournal:ZAMP Zeitschrift f�r angewandte Mathematik und Physik, volume 38, pages 905-924 (issn: 0044-2275, eissn: 1420-9039,

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Authors: Kachoyan, B. J.;

doi: 10.1007/bf00945826

Neutral curve behaviour in Taylor-Dean flow

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Abstract

Numerical investigations reveal a class of neutral curve in infinite Taylor-Dean flow not previously observed. Based on the work of \textit{P. Hall} [J. Fluid Mech. 124, 475-494 (1982; Zbl 0503.76054)], asymptotic expansions at the high-wavenumber end of the neutral curves are given. Previously, an interpretation had been given by \textit{D. C. Raney}, and \textit{T. S. Chang} [Z. Angew. Math. Phys. 22, 680-690 (1971; Zbl 0227.76059)] for the curves observed by \textit{T. H. Hughes} and \textit{W. H. Reid} [ibid. 15, 573-581 (1964)]. Using the above expansions and Rayleigh's criterion, an alternate explanation is proposed in this paper which takes into account the new phenomena.

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University of Sydney
Australia

Keywords

Rayleigh's criterion, infinite Taylor-Dean flow, class of neutral curve, General theory of rotating fluids, Boundary-layer theory, separation and reattachment, higher-order effects, Navier-Stokes equations, asymptotic expansions

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