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



The solution for the pressure is






[1] M. Gupta, "Simulation and Visualization of Various Acoustic Sources in MATLAB." (2006)

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