John Craske

Turbulent transport and entrainment in jets and plumes: A DNS study

We present a new DNS data set for a statistically axisymmetric turbulent jet, plume and forced plume in a domain of size

Energy dispersion in turbulent jets. Part 1. Direct simulation of steady and unsteady jets

40 r_0 \times 40 r_0 \times 60 r_0

Energy-consistent entrainment relations for jets and plumes

, where

Generalised unsteady plume theory

r_0

Robust and accurate open boundary conditions for incompressible turbulent jets and plumes

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.