Propagation of Sound through a Variable‐Area Duct with a Steady Compressible Flow
作者:
Norman A. Eisenberg,
Timothy W. Kao,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1971)
卷期:
Volume 49,
issue 1B
页码: 169-175
ISSN:0001-4966
年代: 1971
DOI:10.1121/1.1912314
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The equations governing the progagation of sound in a nonconstant area duct with a one‐dimensional fluid flow are derived by a linearizing perturbation technique. The governing equations are transformed successively into two decoupled linear ordinary differential equations with a variable coefficient. By the appropriate choice of duct shape, the variable coefficient is made constant. The duct shape chosen is semi‐infinite, diverging from the sonic throat. Solutions are obtained for several choices of the parameter ωL/2as, which relates frequency, duct shape, and speed of sound. The solutions exhibit standing‐wave characteristics and reveal certain aspects of energy transfer between the mean flow and sound. The study bears on noise growth and decay in the input and output ducts of certain fluidic amplifiers.
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