Exact solution for one-dimensional acoustic fields in ducts with a quadratic mean temperature profile
作者:
B. Manoj Kumar,
R. I. Sujith,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1997)
卷期:
Volume 101,
issue 6
页码: 3798-3799
ISSN:0001-4966
年代: 1997
DOI:10.1121/1.418385
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The purpose of this Letter is to present an exact analytical solution for sound propagation in ducts with a quadratic mean temperature profile. Using appropriate transformations, the one-dimensional wave equation for ducts with an axial mean temperature gradient was reduced to the hypergeometric differential equation, whose solution can be expressed in terms of hypergeometric functions. The analysis neglects the effects of mean flow and is therefore valid only for small mean Mach numbers.
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