科研之友
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摘要
The Taylor-series expansion method of moments (TEMOM) is modified to match the behavior of real self-preserved aerosols by taking advantage of the numerical results obtained by the sectional method for Brownian coagulation in both continuum and free molecular regimes. The newly proposed model is able to predict the evolution of the zeroth and second moments more accurately than the original TEMOM when the aerosol size distribution approaches self-preserving or the coagulation time is sufficiently long. A special kind of coordinate diagram, which describes the relationship between the moment equations and one non-dimensional moment is first used to investigate different methods of moments that only involve the first three moments. The errors produced by different methods of moments can be qualitatively explained by these diagrams. By polynomial fitting, a new set of moment equations for Brownian coagulation in the free molecular regime is proposed in the framework of the log-normal preserving theory.
