RESEARCH PAPERS: Noise Control and Acoustics

Analysis of Lined Ducts With Mean Flow, With Application to Dissipative Mufflers

[+] Author and Article Information
M. L. Munjal, U. S. Shirahatti

Department of Mechanical Engineering, Indian Institute of Science, Bangalore, 560 012, India

J. Vib., Acoust., Stress, and Reliab 109(4), 366-371 (Oct 01, 1987) (6 pages) doi:10.1115/1.3269455 History: Received April 01, 1987; Online November 23, 2009


Mufflers with at least one acoustically absorptive duct are generally called dissipative mufflers. Generally, for want of systems approach, these mufflers are characterized by transmission loss of the lined duct with overriding corrections for the terminations, mean flow, etc. In this article, it is proposed that dissipative duct should be integrated with other muffler elements, source impedance and radiation impedance, by means of transfer matrix approach. Towards this end, the transfer matrix for rectangular duct with mean flow has been derived here, for the least attenuated mode. Mean flow introduces a coupling between transverse wave numbers and axial wave number, the evaluation of which therefore calls for simultaneous solution of two or three transcendental equations. This is done by means of a Newton-Raphson iteration scheme, which is illustrated here for square ducts lined with porous ceramic tiles.

Copyright © 1987 by ASME
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