Se. Gryning et E. Batchvarova, PARMETRIZATION OF THE DEPTH OF THE ENTRAINMENT ZONE ABOVE THE DAYTIMEMIXED-LAYER, Quarterly Journal of the Royal Meteorological Society, 120(515), 1994, pp. 47-58
A new parametrization for the depth of the daytime entrainment zone is
presented. It is derived from a simple energy budget, in which the ed
dy velocity in the mixed layer penetrating the overlying stable entrai
nment zone is taken to be proportional to the characteristic top-down
velocity scale. It gives a better ordering of the data of two earlier
studies by Deardorff et al. and Boers and Eloranta as compared with tr
aditional parcel theory based on the bottom-up velocity scale. Further
more, it can be seen that the data from the two studies belong to diff
erent regimes of the characteristic scaling parameter.