Computing accumulation density of particles on a line with parabolic trajectories
In this paper, an ideal particle accumulation problem is studied, in which particles are emitted from a fixed point at the same emission velocity onto a plane with a negative y-intercept. Since particles acted on by gravity travel in space via parabolic trajectories, by studying such families of parabolas, the accumulation of particles on a plane can be deduced. An analytical equation, namely the accumulation density function, is subsequently established for representing particle accumulation on such a plane. This accumulation function provides a basis for simulating accumulation of materials on the surfaces in applications such as chemical vapor deposition and spray painting. (C) 2001 Elsevier Science Ltd. All rights reserved.
parabolic trajectory particle accumulation accumulation density function accumulation simulation parabolic visibility