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A simplified Reynolds stress model for unsteady turbulent boundary layersA simplified Reynolds stress model has been developed for the prediction of unsteady turbulent boundary layers. By assuming that the net transport of Reynolds stresses is locally proportional to the net transport of the turbulent kinetic energy, the time dependent full Reynolds stress model is reduced to a set of ordinary differential equations. These equations contain only time derivatives and can be readily integrated in a time dependent boundary layer or Navier-Stokes code. The turbulent kinetic energy and dissipation rate needed for the model are obtained by solving the k-epsilon equations. This simplified Reynolds stress turbulence model (SRSM) does not use the eddy viscosity assumption, which may not be valid for unsteady turbulent flows. The anisotropy of both the steady and the unsteady turbulent normal stresses can be captured by the SRSM model. Through proper damping of the shear stresses, the present model can be used in the near wall region of turbulent boundary layers. This model has been validated against data for steady and unsteady turbulent boundary layers, including periodic turbulent boundary layers subjected to a mean adverse pressure gradient. For the cases tested, the predicted unsteady velocity and turbulent stress components agree well with the experimental data. Comparison between the predictions from the SRSM model and a k-epsilon model is also presented.
Document ID
19930038625
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Fan, Sixin
(NASA Lewis Research Center Cleveland, OH, United States)
Lakshminarayana, Budugur
(Pennsylvania State Univ. University Park, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
AIAA PAPER 93-0204
Meeting Information
Meeting: AIAA, Aerospace Sciences Meeting and Exhibit
Location: Reno, NV
Country: United States
Start Date: January 11, 1993
End Date: January 14, 1993
Sponsors: AIAA
Accession Number
93A22622
Funding Number(s)
CONTRACT_GRANT: NAG3-1168
Distribution Limits
Public
Copyright
Other

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