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Burgers approximation for two-dimensional flow past an ellipseA linearization of the Navier-Stokes equation due to Burgers in which vorticity is transported by the velocity field corresponding to continuous potential flow is examined. The governing equations are solved exactly for the two dimensional steady flow past an ellipse of arbitrary aspect ratio. The requirement of no slip along the surface of the ellipse results in an infinite algebraic system of linear equations for coefficients appearing in the solution. The system is truncated at a point which gives reliable results for Reynolds numbers R in the range 0 R 5. Predictions of the Burgers approximation regarding separation, drag and boundary layer behavior are investigated. In particular, Burgers linearization gives drag coefficients which are closer to observed experimental values than those obtained from Oseen's approximation. In the special case of flow past a circular cylinder, Burgers approximation predicts a boundary layer whose thickness is roughly proportional to R-1/2.
Document ID
19820021683
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Dorrepaal, J. M. (Old Dominion Univ. Norfolk, VA, United States)
Date Acquired
September 4, 2013
Publication Date
July 1, 1982
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
NASA-CR-169483
NAS 1.26:169155
Accession Number
82N29559
Funding Number(s)
CONTRACT_GRANT: NAG1-197
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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