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@article{Craske:2017:10.1017/jfm.2017.259,
author = {Craske, J and Salizzoni, P and van, Reeuwijk M},
doi = {10.1017/jfm.2017.259},
journal = {Journal of Fluid Mechanics},
pages = {774--790},
title = {The turbulent Prandtl number in a pure plume is 3/5},
url = {http://dx.doi.org/10.1017/jfm.2017.259},
volume = {822},
year = {2017}
}

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TY  - JOUR
AB  - We derive a new expression for the entrainment coefficient in a turbulent plume usingan  equation  for  the  squared  mean  buoyancy.  Consistency  of  the  resulting  expressionwith previous relations for the entrainment coefficient implies that the turbulent Prandtlnumber in a pure plume is equal to 3/5 when the mean profiles of velocity and buoyancyhave a Gaussian form of equal width. Entrainment can be understood in terms of thevolume  flux,  the  production  of  turbulence  kinetic  energy  or  the  production  of  scalarvariance for either active or passive variables. The equivalence of these points of viewindicates how the entrainment coefficient and the turbulent Prandtl and Schmidt numbersdepend on the Richardson number of the flow, the ambient stratification and the relativewidths of the velocity and scalar profiles. The general framework is valid for self-similarplumes, which are characterised by a power-law scaling. For jets and pure plumes it isshown  that  the  derived  relations  are  in  reasonably  good  agreement  with  results  fromdirect numerical simulations and experiments.
AU  - Craske,J
AU  - Salizzoni,P
AU  - van,Reeuwijk M
DO  - 10.1017/jfm.2017.259
EP  - 790
PY  - 2017///
SN  - 0022-1120
SP  - 774
TI  - The turbulent Prandtl number in a pure plume is 3/5
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2017.259
UR  - http://hdl.handle.net/10044/1/46102
VL  - 822
ER  -

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