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On the Lagrangian description of unsteady boundary-layer separation. II - The spinning sphereA theory to explain the initial stages of unsteady separation was proposed by Van Dommelen and Cowley (1989). This theory is verified for the separation process that occurs at the equatorial plane of a sphere or a spheroid which is impulsively spun around an axis of symmetry. A Lagrangian numerical scheme is developed which gives results in good agreement with Eulerian computations, but which is significantly more accurate. This increased accuracy, and a simpler structure to the solution, also allows verification of the Eulerian structure, including the presence of logarithmic terms. Further, while the Eulerian computations broke down at the first occurrence of separation, it is found that the Lagrangian computation can be continued. It is argued that this separated solution does provide useful insight into the further evolution of the separated flow. A remarkable conclusion is that an unseparated vorticity layer at the wall, a familiar feature in unsteady separation processes, disappears in finite time.
Document ID
19900035994
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Van Dommelen, Leon L.
(Florida State University Tallahassee, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 210
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A23049
Distribution Limits
Public
Copyright
Other

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