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On acoustic refraction by duct shear layers

Published online by Cambridge University Press:  29 March 2006

P. N. Shankar
P. N. Shankar
Affiliation:
University of Maryland, College Park, Maryland 20742
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Abstract

We consider the propagation of sound in a two-dimensional shear layer in a duct. Initially plane sound waves propagate in a subsonic flow whose steady velocity U(y) is in the axial direction and is a function of the normal co-ordinate alone. The initial-value problem in time and space is solved within the framework of a perturbation scheme. Far from the wave front and for large time the refractive effects are considerable. However, the present results indicate that standing wave type patterns lead to a strong dependence on axial location in the duct. The paper also points out the Weakness inherent in theories which attempt to treat the refraction problem without considering the source conditions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 47 , Issue 1 , 14 May 1971 , pp. 81 - 91
Copyright
© 1971 Cambridge University Press

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References

Carslaw, H. S. & Jaeger, J. C. 1963 Operational Methods in Applied Mathematics. Dover.
Mungur, P. & Gladwell, G. M. L. 1969 Acoustic wave propagation in a sheared fluid contained in a duct J. Sound Vib. 9, 28.Google Scholar
Pridmore-Brown, D. C. 1958 Sound propagation in a fluid flowing through an attenuating duct J. Fluid Mech. 4, 393.Google Scholar