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Asymptotic profiles of steady Stokes and Navier–Stokes flows around a rotating obstacle

Asymptotic profiles of steady Stokes and Navier–Stokes flows around a rotating obstacle We analyze the spatial anisotropic profiles at infinity of steady Stokes and Navier–Stokes flows around a rotating obstacle. It is shown that the Stokes flow is largely concentrated along the axis of rotation in the leading term and that a rotating profile can be found in the second term. The leading term for Navier–Stokes flow will be an adequate Landau solution. The proofs rely upon a detailed analysis of the associated fundamental solution tensor. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL'UNIVERSITA' DI FERRARA Springer Journals

Asymptotic profiles of steady Stokes and Navier–Stokes flows around a rotating obstacle

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Publisher
Springer Journals
Copyright
Copyright © 2009 by Università degli Studi di Ferrara
Subject
Mathematics; Mathematics, general; Analysis; Geometry; History of Mathematical Sciences; Numerical Analysis; Algebraic Geometry
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/s11565-009-0072-6
Publisher site
See Article on Publisher Site

Abstract

We analyze the spatial anisotropic profiles at infinity of steady Stokes and Navier–Stokes flows around a rotating obstacle. It is shown that the Stokes flow is largely concentrated along the axis of rotation in the leading term and that a rotating profile can be found in the second term. The leading term for Navier–Stokes flow will be an adequate Landau solution. The proofs rely upon a detailed analysis of the associated fundamental solution tensor.

Journal

ANNALI DELL'UNIVERSITA' DI FERRARA – Springer Journals

Published: Sep 23, 2009

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