Simplified calculation of aerosol penetration through channels and tubes
Abstract
Penetration of a lognormally distributed aerosol undergoing Brownian diffusion in both a long narrow rectangular channel and a circular tube has been calculated by using an approximation method similar to those used in boundary layer analyses and then by utilizing the integration method of lognormal function moments. The approach assumes that the size distribution of an initially lognormally distributed aerosol remains or at least can be correlated with a lognormal distribution function as it passes along the channel. Through this simplified calculation, penetrations of the total number, radius, surface area and mass of the particles plus the mean size and the geometric standard deviation of the size distribution were simultaneously obtained. The results were compared with and agree reasonably well with the existing results of numerical integration.
 Publication:

Atmospheric Environment
 Pub Date:
 1980
 DOI:
 10.1016/00046981(80)900396
 Bibcode:
 1980AtmEn..14.1089L
 Keywords:

 Aerosols;
 Brownian Movements;
 Circular Tubes;
 Particle Diffusion;
 Particle Size Distribution;
 Approximation;
 Boundary Layer Flow;
 Diffusion Coefficient;
 Laminar Flow;
 Normal Density Functions;
 Numerical Integration;
 Particle Mass;
 Particle Motion;
 Penetration;
 Rectangles;
 Fluid Mechanics and Heat Transfer