Disturbance evolution in rotating-disk boundary layers: competition between absolute instability and global stability

Christopher Davies*, Christian Thomas

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

1 Citation (Scopus)

Abstract

Results obtained from the numerical simulation of linearized disturbance evolution in various rotating disk boundary-layers can be modelled using impulse solutions of the Ginzburg-Landau equation. An explanation may thus be given of why there appears to be no unstable linear global mode for the von Kármán boundary layer, even though it is subject to a strong form of absolute instability. The stability effects of applying suction at the disk surface, or imposing an axial magnetic field, have also been investigated. In both of these cases, numerical simulation results indicated that local stabilization, which had previously been predicted to lead to a postponement of absolute instability to higher Reynolds numbers, could in fact be associated with the introduction of a new form of global instability. The modelling approach, based on comparisons with solutions of the Ginzburg-Landau equation, provides some insight into how such behaviour can arise.

Original languageEnglish
Title of host publicationSeventh IUTAM Symposium on Laminar-Turbulent Transition
Subtitle of host publicationproceedings of the Seventh IUTAM Symposium on Laminar-Turbulent Transition, Stockholm, Sweden, 2009
EditorsPhilipp Schlatter, Dan S. Henningson
Place of PublicationNew York
PublisherSpringer, Springer Nature
Pages135-140
Number of pages6
ISBN (Electronic)9789048137237
ISBN (Print)9789048137220
DOIs
Publication statusPublished - 2010
Externally publishedYes
Event7th IUTAM Symposium on Laminar-Turbulent Transition - Stockholm, Sweden
Duration: 23 Jun 200926 Jun 2009

Publication series

NameIUTAM Bookseries
PublisherSpringer
Volume18
ISSN (Print)1875-3507
ISSN (Electronic)1875-3493

Conference

Conference7th IUTAM Symposium on Laminar-Turbulent Transition
CountrySweden
CityStockholm
Period23/06/0926/06/09

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