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Modeling the transition to turbulence in shear flows
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Barkley, Dwight (2011) Modeling the transition to turbulence in shear flows. Journal of Physics: Conference Series, Vol.318 (No.3). 032001. doi:10.1088/1742-6596/318/3/032001 ISSN 1742-6596.
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Official URL: http://dx.doi.org/10.1088/1742-6596/318/3/032001
Abstract
One-dimensional models are presented for transitional shear flows. The models have two variables corresponding to turbulence intensity and mean shear. These variables evolve according to simple equations based on known properties of transitional turbulence. The first model considered is for pipe flow. A previous study modeled turbulence using a chaotic tent map. In the present work turbulence is modeled instead as multiplicative noise. This model captures the character of transitional pipe flow and contains metastable puffs, puff splitting, and slugs. These ideas are extended to a limited model of plane Couette flow.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Physics: Conference Series | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 1742-6596 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.318 | ||||
Number: | No.3 | ||||
Page Range: | 032001 | ||||
DOI: | 10.1088/1742-6596/318/3/032001 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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