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Viscous starting jetsThe transient motion which is produced when a viscous incompressible fluid is forced from an initial state of rest is studied. The equations for unsteady particle paths, written in terms of similarity variables, are analyzed as a quasi-autonomous system with the Reynolds number treated as a parameter. By finding and classifying critical points in the system's phase portrait, the flow structure is examined. It is shown that: (1) bifurcations in the phase portrait occur at specific values of the Reynolds number of the flow in question, and (2) the exact solutions of the Stokes equations for the low-Reynolds-number limit contain two critical Reynolds numbers and three distinct states of motion which culminate in the onset of a vortex roll-up.
Document ID
19870035579
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Cantwell, Brian J.
(Stanford University CA, United States)
Date Acquired
August 13, 2013
Publication Date
December 1, 1986
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 173
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
87A22853
Funding Number(s)
CONTRACT_GRANT: NCA2-IR-745-502
Distribution Limits
Public
Copyright
Other

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