The turbulent entrainment mechanism of a swirling plume surrounded by a potential vortex and a swirling jet and a wake in a uniform stream has been discussed. With the assumption of the stream-wise similarity of various flow variables, the integrated conservation equations yield a rate of entrainment function which explicitly shows that the external potential vortex retards the rate of entrainment whereas the positive density gradients across the plume interact with the surrounding vortex to weakly increase the rate of entrainment. In a uniform stream, the swirling jets and wakes show distinctly opposite behavior. An increasing initial swirl delays the dissipation of the swirling wake whereas it promotes the dissipation of a swirling jet. The coaxial uniform free stream always retards the rate of entrainment across the swirling jet.

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