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zbMATH Open
Article . 1980
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AIAA Journal
Article . 1980 . Peer-reviewed
Data sources: Crossref
https://doi.org/10.2514/6.1979...
Article . 1979 . Peer-reviewed
Data sources: Crossref
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On Stability and Transition in Three-Dimensional Flows

On stability and transition in three-dimensional flows
Authors: Cebeci, Tuncer; Stewartson, Keith;

On Stability and Transition in Three-Dimensional Flows

Abstract

The usefulness of the e" method for predicting transition in two-dimensional and axially symmetric flows is well established. In order to extend the method to three-dimensi onal parallel shear flows, it is first necessary to establish a relationship between a and /?, the complex wave numbers in two perpendicular directions in the plane of flow. We suggest that this may be done by making use of group velocity concepts which lead'to the requirement da/dp = - tan<£, where 0 is real and denotes the direction of propagation of centered disturbances. As a paradigm of this approach, the rotating disk is studied. It is established that the critical Reynolds number is 176, that the principal disturbances to the laminar flow travel outwards and at an angle — - 8 deg to the direction of motion of the disk, while the appropriate value of n is —20. The observed direction of propagation of disturbance is at - - 13 deg to the direction of motion of the disk. The generally accepted value of n is -9, much less than that found here.

Keywords

two-dimensional Blasius flow, Hydrodynamic stability, three-dimensional flows, Boundary-layer theory, separation and reattachment, higher-order effects, transition in two-dimensional boundary layers

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Powered by OpenAIRE graph
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
138
Top 10%
Top 1%
Top 10%
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