Asymptotic profile of a linearized navier-stokes flow past a rotating body

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10 Citations (Scopus)

Abstract

Consider a rigid body in a three-dimensional Navier-Stokes liquid moving with a nonzero velocity and rotating with a nonzero angular velocity that are both constant when referred to a frame attached to the body. Linearizing the associated steady-state equations of motion, we obtain the exterior domain Oseen equations in a rotating frame of reference. We analyze the structure of weak solutions to these equations and identify the leading term in the asymptotic expansion of the corresponding velocity field.

Original languageEnglish
Pages (from-to)489-500
Number of pages12
JournalQuarterly of Applied Mathematics
Volume71
Issue number3
DOIs
Publication statusPublished - 2013
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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