A new Multi-Moment Sectional Method (MMSM) is proposed for tracking the evolution of the soot Number Density Function (NDF). Unlike conventional sectional methods, in MMSM, multiple statistical moments are solved within each section, and the size distribution within each section is reconstructed from a polynomial profile or, for the last section, an exponential profile. MMSM can be reduced to a method of moments with a single section to minimize the computational cost and reduced to a sectional method when the number of moments per section is one. The MMSM approach is combined with a detailed univariate soot model and applied to the computation of the soot NDF in an ethylene laminar premixed flame. Compared to a pure sectional method, MMSM is shown to achieve a higher rate of convergence for the predicted total number density and particle size distribution.
Bibliographical noteFunding Information:
The authors gratefully acknowledge funding from the Princeton University School of Engineering and Applied Science through the Alfred Rheinstein Faculty Award.
© 2018 The Combustion Institute.
Copyright 2019 Elsevier B.V., All rights reserved.
- Method of moments
- Particle size distribution
- Sectional method