Acoustic Dipole in a Duct

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An acoustic dipole oriented along the axis is placed in a duct. The dipole can be moved along the axis. The resulting sonic radiation can be approximated by an -term Fourier series, given in the Details section, with representing the Helmholtz number (the cut-off frequency of a duct, product of the wavenumber and the duct radius) in multiples of .

Contributed by: Enrique Zeleny (January 2014)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The solution for the pressure is

,

with

and

.

Reference

[1] M. Gupta, "Simulation and Visualization of Various Acoustic Sources in MATLAB." (2006) wenku.baidu.com/view/9ca5d912f18583d049645990.



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