The attenuation of sound by turbulence in internal flows

The attenuation of sound waves due to interaction with low Mach number turbulent boundary layers in internal flows (channel or pipe flow) is examined. Dynamic equations for the turbulent Reynolds stress on the sound wave are derived, and the analytical solution to the equation provides a frequency d...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2013-06, Vol.133 (6), p.3764-3776
Main Authors: Weng, Chenyang, Boij, Susann, Hanifi, Ardeshir
Format: Article
Language:English
Subjects:
acoustic wave absorption
acoustic wave propagation
boundary layer turbulence
channel flow
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Mach number
non-Newtonian fluids
pipe flow
viscosity
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Summary:The attenuation of sound waves due to interaction with low Mach number turbulent boundary layers in internal flows (channel or pipe flow) is examined. Dynamic equations for the turbulent Reynolds stress on the sound wave are derived, and the analytical solution to the equation provides a frequency dependent eddy viscosity model. This model is used to predict the attenuation of sound propagating in fully developed turbulent pipe flow. The predictions are shown to compare well with the experimental data. The proposed dynamic equation shows that the turbulence behaves like a viscoelastic fluid in the interaction process, and that the ratio of turbulent relaxation time near the wall and the sound wave period is the parameter that controls the characteristics of the attenuation induced by the turbulent flow.
ISSN:0001-4966
1520-8524
1520-8524
DOI:10.1121/1.4802894