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A nonperturbative approximation for the moderate Reynolds number Navier-Stokes equations
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Roper, Marcus and Brenner, M. P. (2009) A nonperturbative approximation for the moderate Reynolds number Navier-Stokes equations. Proceedings of the National Academy of Sciences of the United States of America, Vol.106 (No.9). pp. 2977-2982. doi:10.1073/pnas.0810578106 ISSN 0027-8424.
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Official URL: http://dx.doi.org/10.1073/pnas.0810578106
Abstract
The nonlinearity of the Navier–Stokes equations makes predicting the flow of fluid around rapidly moving small bodies highly resistant to all approaches save careful experiments or brute force computation. Here, we show how a linearization of the Navier–Stokes equations captures the drag-determining features of the flow and allows simplified or analytical computation of the drag on bodies up to Reynolds number of order 100. We illustrate the utility of this linearization in 2 practical problems that normally can only be tackled with sophisticated numerical methods: understanding flow separation in the flow around a bluff body and finding drag-minimizing shapes.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Proceedings of the National Academy of Sciences of the United States of America | ||||
Publisher: | National Academy of Sciences | ||||
ISSN: | 0027-8424 | ||||
Official Date: | 2009 | ||||
Dates: |
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Volume: | Vol.106 | ||||
Number: | No.9 | ||||
Page Range: | pp. 2977-2982 | ||||
DOI: | 10.1073/pnas.0810578106 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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