COLLISIONAL PROBLEM OF CLOUD DROPLETS MOVING IN A TURBULENT ENVIRONMENT - 1. A METHOD OF SOLUTION.

Abstract

The author introduces a new approach to incorporate the case of droplets moving under the action of probabilistic forcing fields, such as turbulence. This has resulted in a more general definition of the collision kernel function. This new collision kernel is shown to be capable of representing not only the turbulent case, but to reduce to the deterministic definition of the kernel function given in the literature. The method of solution includes the numerical solution of the equations of motion for droplet pairs moving in a viscous turbulent environment and the sampling procedure to determine the probability curves of the kernel function as defined in this study. Errors committed in the evaluation of the probability curves, or for that matter, of the kernel function for both deterministic and probabilistic problems are analyzed. The general solutions are outlined.