Submerged jets

The paper is concerned with a non-self-similar swirling jet of an incompressible fluid issuing from a spherical source into a flooded space. It is shown that the solution to this problem is not represented by a series of reverse integer powers of the spherical radius R but has an essentially singular point when R is infinity. It is further shown that the principal terms of the asymptotic expansion are determined by four rather than three conservation integrals, i.e., impulse, flow rate, and two components of angular momentum.