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RESEARCH PAPERS: Turbulence-Induced Vibrations and Noise of Structures

Recent Modeling of Turbulent Wall Pressure and Fluid Interaction With a Compliant Boundary

[+] Author and Article Information
D. M. Chase

Chase, Inc., Cambridge, Mass. 02142

J. Vib., Acoust., Stress, and Reliab 106(3), 328-333 (Jul 01, 1984) (6 pages) doi:10.1115/1.3269198 History: Received March 28, 1984; Online November 23, 2009

Abstract

The relation of wall-pressure amplitude to fluctuating Reynolds-stress source amplitudes in the boundary layer is reviewed for inviscid, slightly compressible flow along a rigid planar boundary. An orthotropic wall-similarity model for source spectra is constructed and applied in this framework to derive a rough model for the wavevector-frequency spectrum of turbulent wall pressure, including radiative wavenumbers. By extension to a compliant boundary, with nonlinear, fluctuating Reynolds stress omitted, an expression is given for fluid-loading impedance and energy exchange in the presence of flow with arbitrary mean velocity profile, in terms of a solution to the homogeneous equation for pressure on a rigid wall. For a compliant boundary driven by fluctuating Reynolds stresses, a formal general relation for wall motion and pressure is derived with a view to the possible effect of nonlinear terms involving wall motion on the amplitude of wall pressure at sub-convective wavenumbers.

Copyright © 1984 by ASME
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