A simple closed-form solution has been obtained for an axisymmetrical turbulent swirling jet issuing from a circular source into a semi-infinite motionless ambient fluid by introducing the assumptions of similar axial and swirling velocity profiles and lateral entrainment of ambient fluid into the integrated governing equations. Results for the decays of the axial and swirling velocities and the spray of the jet agree closely with the existing experimental findings on the velocity fields of a swirling round turbulent jet of air generated by flow issuing from a rotating pipe into a reservoir of motionless air.

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