Asymptotic behavior of solutions of the Orr-Sommerfeld equations in regions adjacent to two branches of the neutral curve
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions of the Orr-Sommerfeld equations in regions adjacent to two branches of the neutral curve
zbMATH Open document ID: 0563.76043
DOI: 10.1007/BF01091070
author: V. I. Zhuk
published in: Fluid Dynamics
publication date: 1984-01-01T00:00:00Z
review text: In the present paper, solutions are constructed for each of the subregions (including the critical layer) into which the perturbed velocity field in the linear stability problem is divided at large Reynolds numbers. Dispersion relations describing the neighborhood of the upper and lower branches of the neutral curve for the boundary layer are derived. These relations, which contain neutral solutions as a special case, go over asymptotically into each other in the unstable region between the two branches.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76E99
zbMATH DE Number: 3898451
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: Orr-Sommerfeld equation
zbMATH Keywords: linear stability problem
zbMATH Keywords: large Reynolds numbers
zbMATH Keywords: Dispersion relations
zbMATH Keywords: neutral curve
MaRDI profile type: Publication
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cites work: The upper branch stability of the Blasius boundary layer, including non-parallel flow effects
cites work: Asymptotic behavior of the neutral curves of the linear stability problem for a laminar boundary layer
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full work available at URL: https://doi.org/10.1007/bf01091070
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description: scientific article; zbMATH DE number 3898451