Abstract
Formula for calculating the acoustic pressure of spin dipole acoustic source at any point in space was deduced on the base of frequency-domain solution of turning point acoustic source and acousticfield in free space .Which discussed the acoustic field characteristics during the harmonic dipole source rotating and studied the impact on the acoustic field and acoustic pressure at different source frequency, rotating frequency. Study shows that: dipole acoustic field is of an intense space directivity, the characteristics of acoustic field and acoustic source are closely related.
Highlights
Where: ρ is for air-space density, ω is for circular frequency, k is for wave number
Frequency-domain Solution of Spin Dipole AcousticSource: The acoustic pressure radiated by pulsating sphere acoustic source is discribed as: P (r, t ) = Q (a) −iωρ e e ik(r−a) −iωt
Q(a) is for the intensity of spherical acoustic source, defined as the surface of the spherical acoustic source multiplied by the speed of the surface.Supposed if the radiusof a point acoustic source tends to zero and lim a→0
Summary
The acoustic pressure radiated by pulsating sphere acoustic source is discribed as:. Where: ρ is for air-space density, ω is for circular frequency, k is for wave number. According to the literature [1,3,4,5], the radiation of acoustic pressure of a rotating Point Source in free space is expressed as:. According to the literature [2],taking eik0rs expanded by Legendre and addition principle,supposed initial of point 4π rs source is (r0,θb,φb ) , the location of rotating is (r0,θ0,φ0 ) , observation location is (r,θ ,φ ) , φ0 = φb + mΩ , we can get the frequency domain solution of a rotating point source in free space and the acoustic field gω caused by unit intensity and harmonic point source.
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