  We present a new DNS data set for a statistically axisymmetric turbulent jet,
plume and forced plume in a domain of size $40 r_0 \times 40 r_0 \times 60
r_0$, where $r_0$ is the source diameter. The data set provides evidence of the
validity of the Priestley and Ball entrainment model in unstratified
environments (excluding the region near the source), which is corroborated
further by the Wang and Law and Ezzamel \emph{et al.} experimental data sets,
the latter being corrected for a small but influential co-flow that affected
the statistics. We show that the turbulence in the core region of the jet and
the plume are practically indistinguishable, although the invariants of the
anisotropy tensor reveal a significant change in the turbulence near the plume
edge. The DNS data indicates that the turbulent Prandtl number is about 0.7 for
both jets and plumes. For plumes, this value is a result of the difference in
the ratio of the radial turbulent transport of radial momentum and buoyancy.
For jets however, the value originates from a different spread of the buoyancy
and velocity profiles, in spite of the fact that the ratio of radial turbulent
transport terms is approximately unity. The DNS data does not show any evidence
of similarity drift associated with gradual variations in the ratio of buoyancy
profile to velocity profile widths.
