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Finite-amplitude stability of axisymmetric pipe flow

Published online by Cambridge University Press:  20 April 2006

Anthony T. Patera  and
Steven A. Orszag
Anthony T. Patera
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Steven A. Orszag
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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Abstract

The stability of pipe flow to axisymmetric disturbances is studied by direct numerical simulation of the incompressible Navier-Stokes equations. There is no evidence of finite-amplitude equilibria at any of the wavenumber/Reynolds number combinations investigated, with all perturbations decaying on a time scale much shorter than the diffusive (viscous) time scale. In particular, decay is obtained where amplitude-expansion perturbation techniques predict equilibria, indicating that these methods are not valid away from the neutral curve of linear stability theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 112 , November 1981 , pp. 467 - 474
Copyright
© 1981 Cambridge University Press

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