The influence of entrainment on the evolution of cloud droplet spectra: I. A model of inhomogeneous mixing
Version of Record online: 11 JAN 2007
Copyright © 1980 Royal Meteorological Society
Quarterly Journal of the Royal Meteorological Society
Volume 106, Issue 449, pages 581–598, July 1980
How to Cite
Baker, M. B., Corbin, R. G. and Latham, J. (1980), The influence of entrainment on the evolution of cloud droplet spectra: I. A model of inhomogeneous mixing. Q.J.R. Meteorol. Soc., 106: 581–598. doi: 10.1002/qj.49710644914
- Issue online: 11 JAN 2007
- Version of Record online: 11 JAN 2007
- Manuscript Revised: 31 JAN 1980
- Manuscript Received: JUN 1979
- Natural Environment Research Council
In this, the first of two related papers, we present calculations of the growth of a population of condensate droplets rising above cloud base within small cumuli which are entraining undersaturated environmental air. It is assumed, on the basis of dimensional arguments and laboratory experiments on entrainment, conducted within a cloud droplet evolution tunnel, that this mixing process is inhomogeneous.
In the extreme situation to which the calculations apply undersaturated air is entrained in a stream, or in blobs, and some droplets of all sizes are completely removed from the condensate spectrum by evaporation, while others do not change in size. This is equivalent to assuming that the time constant for turbulent mixing (ττ) is large relative to that for droplet evaporation (τr), and is thus the antithesis to the homogeneous model utilized by other workers, which assumes implicitly that ττ/τr = 0.
The calculations based on the extreme inhomogeneous model produce spectral shapes which agree well with those reported in cumulus by Warner (1969a) and indicate that a small proportion of the droplets can grow several times faster through the condensate spectrum than classical theory predicts.