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3-D acoustic analysis of elliptical chamber mufflers having an end-inlet and a side-outlet: An impedance matrix approach

Mimani, A and Munjal, ML (2012) 3-D acoustic analysis of elliptical chamber mufflers having an end-inlet and a side-outlet: An impedance matrix approach. In: Wave Motion, 49 (2). pp. 271-295.

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Official URL: http://dx.doi.org/10.1016/j.wavemoti.2011.11.001


The acoustical behavior of an elliptical chamber muffler having an end-inlet and side-outlet port is analyzed semi-analytically. A uniform piston source is assumed to model the 3-D acoustic field in the elliptical chamber cavity. Towards this end, we consider the modal expansion of acoustic pressure field in the elliptical cavity in terms of angular and radial Mathieu functions, subjected to rigid wall condition, whereupon under the assumption of a point source, Green's function is obtained. On integrating this function over piston area of the side or end port and dividing it by piston area, one obtains the acoustic field, whence one can find the impedance matrix parameters characterizing the 2-port system. The acoustic performance of these configurations is evaluated in terms of transmission loss (TL). The analytical results thus obtained are compared with 3-D HA carried on a commercial software for certain muffler configurations. These show excellent agreement, thereby validating the 3-D semi-analytical piston driven model. The influence of the chamber length as well as the angular and axial location of the end and side ports on TL performance is also discussed, thus providing useful guidelines to the muffler designer. (c) 2011 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Publication: Wave Motion
Publisher: Elsevier Science B.V.
Additional Information: Copyright of this article belongs to Elsevier Science B.V.
Keywords: 3-D acoustic analysis;Elliptical chamber;End inlet and side outlet;Angular and radial Mathieu functions;Green's function;Piston driven source
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 13 Apr 2012 08:48
Last Modified: 13 Apr 2012 08:48
URI: http://eprints.iisc.ac.in/id/eprint/44259

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