Asymptotic Solution of Moment Approximation of the Particle Population Balance Equation for Brownian Agglomeration

摘要

In the present study, the asymptotic solutions for particle moment approximation of population balance equation for Brownian agglomeration have been obtained analytically. At long time, the dimensionless particle moment (M-C) is an explicit monotonic decreasing function of fractal dimension in the free molecule regime, while it is a constant in the continuum regime. The asymptotic agglomerate growth rate is consistent with previous qualitative analysis and numerical solution, but the present asymptotic solution is more concise and straightforward.