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A note on the Kraichnan—Phillips theorem

Published online by Cambridge University Press:  26 April 2006

M. S. Howe
M. S. Howe
Affiliation:
BBN Laboratories, 10 Moulton Street, Cambridge, MA 02138, USA
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Abstract

The Kraichnan-Phillips theorem asserts that, for incompressible, homogeneous, turbulent flow over a plane, rigid wall, the wall-pressure wavenumber-frequency spectrum P(k, ω) → 0 as the planar wavenumber k → 0 provided the frequency ω ≠ 0. A proof of this theorem is given by use of a general formula that expresses the normal force on an arbitrary rigid body in terms of volume and surface integrals involving the vorticity. Implications for the theory of flow-induced surface vibrations are briefly discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 443 - 448
Copyright
© 1992 Cambridge University Press

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