๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Ducts with axial temperature gradients: An approximate solution for sound transmission and generation

โœ Scribed by A. Cummings


Book ID
104153989
Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
748 KB
Volume
51
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper is concerned with rigid-walled ducts in which axial temperature gradients exist. An acoustic wave equation is derived (an independently specified source distribution is assumed to be present) and its solution is discussed. It is shown that an approximate analytical solution, valid at sufficiently high frequencies, may be obtained for the fundamental mode of propagation, and that this has certain advantages over a purely numerical solution. Experimental results on sound transmission and generation are compared to numerical, and approximate analytical, theoretical results and the agreement is shown to be good.


๐Ÿ“œ SIMILAR VOLUMES


AN APPROXIMATE ANALYTICAL SOLUTION FOR P
โœ E. Dokumaci ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 262 KB

A general approximate analytical solution is presented for transmission of plane sound waves in subsonic low Mach number ducts with axial ambient gradients and cross-sectional area variations. This is essentially a high frequency approximation and explicit criteria are presented for the estimation o

An exact solution for one-dimensional ac
โœ R.I. Sujith; G.A. Waldherr; B.T. Zinn ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 529 KB

In this paper an approach is presented for obtaining exact analytical solutions for sound propagation in ducts with an axial mean temperature gradient. The one-dimensional wave equation for ducts with an axial mean temperature gradient is derived. The analysis neglects the effects of mean flow, and