Transfer matrix modeling of hyperbolic and parabolic ducts with incompressible mean flow

Easwaran, V and Munjal, ML (1991) Transfer matrix modeling of hyperbolic and parabolic ducts with incompressible mean flow. In: Journal of the Acoustical Society of America, 90 (4).

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Abstract

A general differential equation for the propagation of sound in a variable area duct or nozzle carrying incompressible mean flow (of low Mach number) is derived and solved for hyperbolic and parabolic shapes. Expressions for the state variables of acoustic pressure and acoustic mass velocity of the shapes are derived. Self‐consistent expressions for the four‐pole parameters are developed. The conical, exponential, catenoidal, sine, and cosine ducts are shown to be special cases of hyperbolic ducts. Finally, it is shown that if the mean flow in computing the transmission loss of the mufflers involving hyperbolic and parabolic shapes was not neglected, little practical benefit would be derived.

Item Type:	Journal Article
Publication:	Journal of the Acoustical Society of America
Publisher:	American Institute of Physics
Additional Information:	Copyright of this article belongs to American Institute of Physics.
Department/Centre:	Division of Mechanical Sciences > Mechanical Engineering
Date Deposited:	16 Dec 2011 06:16
Last Modified:	16 Dec 2011 06:16
URI:	http://eprints.iisc.ac.in/id/eprint/42760

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