Radiation Impedance - Circular Flanged Opening
R2026bRadiation Impedance - Circular Flanged Opening block
To add a block to a model, double-click the canvas and start typing the block name. Then, select the block from the list.
Libraries:
Simscape Acoustics /
Radiation Impedance
Description
Add-On Required: This feature requires the Simscape Acoustics add-on.
The Radiation Impedance - Circular Flanged Opening block models the radiation impedance from a flanged circular opening. A flanged circular opening behaves similarly to the Spherical Source Radiation Impedance, with slight differences. For very low frequencies, the component acts like a mass loading, represented as an inertance with value
where:
Bi is the end correction coefficient of the opening.
ρ is the density of the fluid.
r is the radius of the opening.
A is the surface area of a sphere with the same radius as the opening.
For very high frequencies, the block acts like a pure resistive damping, represented as a resistance with value
where:
Br is the proportion of impedance corresponding to radiated power.
c is the speed of sound in the fluid.
For flanged openings, Bi = 8/3π and Br = 0.5 [1].
Examples
Model an Inserted Earbud
Model the acoustic response of an earbud inserted into an ear using Simscape™ Acoustics.
Ports
Conserving
Parameters
References
[1] Beranek, Leo Leroy, and Tim J. Mellow. Acoustics: Sound Fields, Transducers and Vibration. Second edition. Academic Press, 2019.
Version History
Introduced in R2026b
