Article | REF: TE5132 V1

Acoustic wave radiation

Author: Jacques JOUHANEAU

Publication date: May 10, 2001, Review date: January 1, 2024

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1. Radiation from omnidirectional sources

1.1 Radiation impedance of the pulsating sphere

Each surface element dS of a pulsating sphere exerts a force df 0 on the fluid (figure 1 ).

As in the case of the membrane vibrating at the end of a tube of constant cross-section (see article § 1.4.2), we are led to define, for the sphere vibrating with an effective velocity v a , a radiation impedance Z R : ZR=4πdf0va=4πa2ZS(a)

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Radiation from omnidirectional sources