Improving the accuracy of the moments method for solving the aerosol general dynamic equation

摘要: Abstract The General Dynamic Equation for aerosol evolution is converted into a set of ordinary differential equations the moments Mm by multiplying vm and integrating over particle volume, v. Closure these achieved assuming functional form moments, instead usual assumption size distribution itself. Specifically, it assumed that In(Mm) can be expressed as pth-order polynomial in m. time-dependent coefficients are found solving (p + 1) numerically. case p = 2 corresponds to always log-normal but comparison with accurate solutions shows increasing increases accuracy method all processes considered (removal, condensation Brownian coagulation). Particle loss during evaporation achievement self-preserving coagulation also considered. Inversion moment expression obtain using Mellin inversion formula discussed.