Exact solution for one-dimensional acoustic fields in ducts with a quadratic mean temperature profile

被引：16

作者：

Kumar, BM

Sujith, RI

机构：

[1] Department of Aerospace Engineering, Indian Institute of Technology

来源：

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | 1997年 / 101卷 / 06期

关键词：

D O I：

10.1121/1.418385

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

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. (C) 1997 Acoustical Society of America.

引用

页码：3798 / 3799

页数：2

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