The linear stability of plane stagnation-point flow against general disturbances

K. Brattkus; S. H. Davis

doi:10.1093/qjmam/44.1.135

The linear stability of plane stagnation-point flow against general disturbances

K. Brattkus^*, S. H. Davis

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The linear-stability theory of plane stagnation-point flow against an infinite flat plate is re-examined. Disturbances are generalized from those of Görtler type to include other types of variations along the plate. It is shown that Hiemenz flow is linearly stable and that the Görtler-type modes are those that decay slowest. This work then rationalizes the use of such self-similar disturbances on Hiemenz flow and shows how questions of disturbance structure can be approached on other self-similar flows.

Original language	English (US)
Pages (from-to)	135-146
Number of pages	12
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1093/qjmam/44.1.135
State	Published - Feb 1991

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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abstract = "The linear-stability theory of plane stagnation-point flow against an infinite flat plate is re-examined. Disturbances are generalized from those of G{\"o}rtler type to include other types of variations along the plate. It is shown that Hiemenz flow is linearly stable and that the G{\"o}rtler-type modes are those that decay slowest. This work then rationalizes the use of such self-similar disturbances on Hiemenz flow and shows how questions of disturbance structure can be approached on other self-similar flows.",

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The linear stability of plane stagnation-point flow against general disturbances

Abstract

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