A Bimodal Integral Solution of the Dynamic Equation for an Aerosol Undergoing Simultaneous Particle Inception and Coagulation

A bimodal moment model for the simulation of particle growth

“…The accuracy of the uni-LN model is satisfactory if new particle formation is instantaneous or negligible. However, the uni-LN model produces erroneous results when particle formation is not instantaneous since a bimodal distribution is developed (Megaridis & Dobbins, 1990;Landgrebe & Pratsinis, 1990;Jeong & Choi, 2003). Since the uni-LN model utilizes a function with one mode to represent the whole particle size distribution, it obviously fails to yield the accurate prediction for a bimodal size distribution.…”

“…However, when intensive particle formation takes place and the average particle size of the accumulation mode is much larger than the predetermined size of the nucleation mode, this scheme produces a signiÿcant error. Especially, a log-normal size distribution approximating the accumulation mode would become much broader than the actual distribution (Megaridis & Dobbins, 1990;Ackermann et al, 1998).…”

“…Megaridis and Dobbins (1990) proposed a moment model that employed a bimodal log-normal integral formulation to account for particle formation and coagulation (bi-M&D model). The overall particle size distribution was decomposed into two parts, the nucleation mode and accumulation mode, and both modes were approximated by log-normal functions.…”

Development of Novel Crystallizer Design and Optimization Tools for Solution Crystallization

“…The form of the distribution function remains the same regardless of the fundamental kinetic laws of nucleation and growth so long as growth rate G is not a function of crystal size L. The properties of the distribution can be generalised, as explained in Hounslow (19) into:…”

“…In this sense, the QMOM is very similar to the classic methods proposed by Kruis et al [16] and Lee [17], where the PSD is assumed to be a monodisperse or a lognormal distribution. Besides these presumed PSD methods, other approaches to the solution of the moment closure problem exist, such as modal methods and polynomial interpolative closure (for details see [18][19][20][21][22]). Thus, the QMOM has to be viewed as a competing method that presents the main advantage of being extremely accurate and amenable for coupling with with CFD codes, as will be clearer in the following sections.…”