Imperial College London

Dr Maarten van Reeuwijk

Faculty of EngineeringDepartment of Civil and Environmental Engineering

Reader in Environmental Fluid Mechanics



+44 (0)20 7594 6059m.vanreeuwijk Website




Miss Rebecca Naessens +44 (0)20 7594 5990




331Skempton BuildingSouth Kensington Campus






BibTex format

author = {Van, Reeuwijk M and Craske, J},
doi = {10.1017/jfm.2015.534},
journal = {Journal of Fluid Mechanics},
pages = {333--355},
title = {Energy-consistent entrainment relations for jets and plumes},
url = {},
volume = {732},
year = {2015}

RIS format (EndNote, RefMan)

AB - We discuss energetic restrictions on the entrainment coefficient for axisymmetric jets and plumes. The resulting entrainment relation includes contributions from the mean flow, turbulence and pressure, fundamentally linking to the production of turbulence kinetic energy, the plume Richardson number Ri and the profile coefficients associated with the shape of the buoyancy and velocity profiles. This entrainment relation generalises the work by Kaminski et al. (J. Fluid Mech.vol. 526, 2005, pp. 361{376) and Fox (J. Geophys. Res. vol. 75, 1970, pp. 6818{6835). The energetic viewpoint provides a unified framework with which to analyse the classical entrainment models implied by the plume theories of Morton, Taylor and Turner (Proc. Roy. Soc. London A vol. 234, 1955, pp.1{23) and Priestley and Ball (Q. J. R. Meteorol. Soc. vol. 81, 1954, pp. 144{157). Datafor pure jets and plumes in unstratified environments indicate that to first order the physics are captured by the Priestley and Ball entrainment model, implying that 1) the profile coefficient associated with the production of turbulence kinetic energy has approximately the same value for pure plumes and jets; 2) the value of for a pure plume is roughly a factor 5/3 larger than for a jet; and 3) the enhanced entrainment coefficient in plumes is primarily associated with the behaviour of the mean flow and not with buoyancy-enhanced turbulence. Theoretical suggestions are made on how entrainment can be systematically studied by creating constant Ri flows in a numerical simulation or laboratory experiment.
AU - Van,Reeuwijk M
AU - Craske,J
DO - 10.1017/jfm.2015.534
EP - 355
PY - 2015///
SN - 1469-7645
SP - 333
TI - Energy-consistent entrainment relations for jets and plumes
T2 - Journal of Fluid Mechanics
UR -
UR -
VL - 732
ER -