A nonperturbative approximation for the moderate Reynolds number Navier-Stokes equations.

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.

authors

Roper M,Brenner MP

doi

10.1073/pnas.0810578106

subject

Has Abstract

pub_date

2009-03-03 00:00:00

pages

2977-82

issue

9

eissn

0027-8424

issn

1091-6490

pii

0810578106

journal_volume

106

pub_type

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