Acoustic Streaming in the Vicinity of a Sphere

Abstract
Considerable work has been done recently on the problem of acoustic streaming in the vicinity of a cylinder [Holtzmark, Johnsen, Sikkeland, and Skavlem, J. Acoust. Soc. Am. 26, 26 (1954); Raney, Corelli, and Westervelt, ibid. 26, 1006 (1954); S. Skavlem and S. Tjötta, ibid. 27, 27 (1955)]. Carlton Lane has completed an extension of this work to the case of a sphere [J. Acoust. Soc. Am. 27, 1003(A) (1955)]. Although Lane uses the approximation method of Raney et al., this present project applies the numerical integration method of Holtzmark et al. to the sphere. A precise stream function obtained by Lane has been integrated exactly to obtain an expression containing algebraic and trigonometric components and the exponential integral. From this expression it is possible to obtain streamlines which are accurate at greater distances from the sphere and for lower frequencies than those of Lane. [This work has been supported by the National Science Foundation and the U. S. Air Force, Wright Air Development Center.]