The absolute instability of boundary-layer flow over viscoelastic walls
type: Item
instance of: scholarly article
title: The absolute instability of boundary-layer flow over viscoelastic walls
zbMATH Open document ID: 0883.76036
DOI: 10.1007/BF00639694
author: O. Diekmann
published in: Theoretical and Computational Fluid Dynamics
publication date: 1997-08-24T00:00:00Z
review text: The linear stability of boundary-layer flow over a viscoelastic-layer wall is considered. A companion matrix technique is used to formulate the stability problem as a linear matrix eigenvalue problem for complex frequency, and all the eigenvalues may be determined without any initial guess values. The eigenvalues are compared with those obtained with an accurate shooting method. The instability character of the boundary-layer flow is further investigated with the purpose of finding the conditions under which the instability of the flow could become absolute. The mapping technique is used to identify the occurrence of absolute instability eigenvalues.
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 1051325
zbMATH Keywords: companion matrix technique
zbMATH Keywords: linear matrix eigenvalue problem
zbMATH Keywords: complex frequency
zbMATH Keywords: shooting method
zbMATH Keywords: mapping technique
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1051325