Accession Number:

AD0285252

Title:

CALCULATION OF THE DIFFUSION OF SMALL PARTICLES IN A NON-UNIFORM ATMOSPHERE

Descriptive Note:

Corporate Author:

GEOPHYSICS CORP OF AMERICA BEDFORD MA

Personal Author(s):

Report Date:

1962-06-01

Pagination or Media Count:

49.0

Abstract:

The downward motion of small particles in an isothermal turbulence free atmosphere was studied for the case of variable diffusion coefficient, utilizing two models. In the first of these, the diffusion coefficient was taken as an exponential function of altitude while in the second, the variation was assumed to be parabolic. In the exponential model an analytic solution for simultaneous diffusion in the vertical and horizontal directions was obtained while for the parabolic model, an analytic solution for vertical motion only was obtained. The calculations, which were restricted to the exponential case show the development of a profile of constant shape, all points of which move with the same velocity, independent of the mass of the particles. These results are in agreement with the numerical work of Banister and Davis. It is also shown that the qualitative nature of the results is independent of the initial distribution. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE