N. Fukuta et N. Xu, NUCLEATION-DROPLET GROWTH INTERACTIONS AND MICROPHYSICAL PROPERTY DEVELOPMENT IN CONVECTIVE CLOUDS, Atmospheric research, 41(1), 1996, pp. 1-22
In the microphysics-dynamics interaction above the convective cloud ba
se, the analytic solutions with the Maxwellian droplet growth system o
btained by Squires (1958) and Fukuta (1993), without including the rel
ationship of the cloud condensation nucleus (CCN) activity spectrum, a
re shown to be partial or diagnostic solutions and that of Twomey (195
9) as a complete or prognostic solution within its approximation. The
diagnostic solutions of the diffusion-kinetic (DK) droplet growth syst
em are numerically evaluated, and significant effects of accommodation
coefficients to raise the supersaturation and droplet number concentr
ation maxima are found. The relationship among the diagnostic solution
, the prognostic solution, and the CCN activity spectrum is graphicall
y explained, and a graphical method to obtain the DK prognostic soluti
on is described. The prognostic solution with the Maxwellian system ha
s been derived in a back-tracking manner and the solution is found to
agree with that of Twomey in the functional relationship. The effect o
f parameters in the CCN activity spectrum on the maximum droplet numbe
r concentration has been assessed for the Maxwellian system. The progn
ostic solution of the DK system graphically obtained shows the droplet
concentration increase from that of the Maxwellian typically by a fac
tor between 1.5 and 2 with condensation coefficient of 0.03 and therma
l accommodation coefficient of 1.0.