Refer to Fig. 12.6. Let a point source of volume velocity
${\tilde{U}}_{\text{0}}$
be located at a distance d from a sphere of radius R. We wish to calculate the resultant pressure field
$\tilde{p}\left(r,\theta \right)$
at a distance r from the center of the sphere and at an angle θ with the axis passing through the point source and center of the sphere. The distance r
_{1} between the observation point and the point source is given by

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