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The Velocity Potential and the Equation of Motion
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accordance acoustic field acoustic impedance acoustic pressure angle aperture approximately assumed attached mass attenuation axis azimuthal Bessel boundary conditions bulk modulus calculated centre coefficient component constant corresponds cylinder defined density dipole directivity characteristic distance element equal expression fluid follows force formula fourpole function impedance Zj incident wave infinite input integral kinetic energy layer long waves maxima maximum minima motion natural frequencies nodal obtained order radiator oscillating sphere oscillation modes oscillations oscillatory particle velocity phase piston plane wave pressure amplitude progressive wave propagated pulsating quantity radial velocity radiated power radiation resistance radius ratio Rayleigh reactance rigid second medium solution sound intensity sound wave speed of sound spherical harmonic spherical radiator standing waves Suppose surface tion transverse tube of length values vector velocity amplitude velocity potential volume velocity wave equation wave impedance wave number wavelength whilst zero zone