Sound Attenuation in a Circular Duct of a Viscous Medium in the Absence of Mean Flow

DOI

10.2991/jnmp.1997.4.1-2.37How to use a DOI?

Abstract

An analytical method to study the effect of viscosity of a medium and the wave number on sound propagation and sound attenuation numbers in circular ducts has been presented. The method is based on the variation of parameters of the solution corresponding to the case of inviscid acoustic waves in circular ducts and axisymmetric modes. A mathematical model is constructed to describe the physical problem in general. Three basic assumptions have been considered, namely, each flow quantity has been written as the sum of a steady mean flow and an unsteady acoustic flow quantity. The effect of thermal conductivity of the gas has been neglected as well as no mean flow. The results for a wide range of wave numbers and Reynolds numbers show that for a viscous medium, the propagation number is a weak function of the Reynolds number, and as the Reynolds number increases, the propagation number approaches its inviscid value. Also the propagation number is independent of the wave number. For the attenuation number, it decreases monotonically with the increase of the Reynolds number and it vanishes when Reynolds number exceeds 104.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Mina B. Abd-El-Malek
AU  - Sarwat N. Hanna
PY  - 1997
DA  - 1997/05/01
TI  - Sound Attenuation in a Circular Duct of a Viscous Medium in the Absence of Mean Flow
JO  - Journal of Nonlinear Mathematical Physics
SP  - 231
EP  - 240
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.37
DO  - 10.2991/jnmp.1997.4.1-2.37
ID  - Abd-El-Malek1997
ER  -