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.
journal_name
Proc Natl Acad Sci U S Aauthors
Roper M,Brenner MPdoi
10.1073/pnas.0810578106subject
Has Abstractpub_date
2009-03-03 00:00:00pages
2977-82issue
9eissn
0027-8424issn
1091-6490pii
0810578106journal_volume
106pub_type
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