A Theoretical Investigation of the Evolution of a Cloud Droplet Population as Determined by Collision and Coalescence
|Title||A Theoretical Investigation of the Evolution of a Cloud Droplet Population as Determined by Collision and Coalescence|
|Year of Publication||1972|
|Academic Department||Atmospheric Sciences|
|University||University of Arizona|
Droplet growth by collision and coalescence is important in the development of precipitation in convective clouds. Adequate consideration of these processes in theoretical cloud models requires knowing their effect on the spectral distribution function n(x,t)dx giving the mean number density of droplets with radii or volume in the interval x to x + dx at time t. Presently, n(x,t) is obtained by numerically solving either a stochastic transport equation for n(x,t), know as the coalescence or collection equation, or an approximation to it. Either technique is computationally time-consuming when placed in the larger context of two- or three- dimensional cloud models incorporating microphysical processes. This dissertation is a partial contribution toward a parametric description of n(x,t) designed to simplify the evaluation of n(x,t) and permit the ready incorporation of collection effects into cloud models. A parametruc description of n(x,t) is viewed here as a function of x and t containing...