Asymptotic behavior of TEMOM model for particle population balance equation over the entire particle size regimes

An improved moment model is proposed to solve the population balance equation for Brownian coagulation in the continuum-slip regime, and it reduces to a known one in open literature when the non-linear terms in the slip correction factor are ignored. The present model shows same asymptotic behavior as that in the continuum regime.

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Numerical Solution of a Modified Moment Model for Particle Population Balance Equation in the Continuum-Slip Regime

Clean Coal Technology and Sustainable Development ◽

10.1007/978-981-10-2023-0_57 ◽

2016 ◽

pp. 423-427

Author(s):

T. T. Kong ◽

Q. He ◽

M. L. Xie

Keyword(s):

Numerical Solution ◽

Balance Equation ◽

Population Balance ◽

Population Balance Equation ◽

Slip Regime ◽

Particle Population ◽

The Continuum

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A very effective new method to solve the population balance equation with particle-size growth

Chemical Engineering Science ◽

10.1016/s0009-2509(97)00152-8 ◽

1997 ◽

Vol 52 (20) ◽

pp. 3493-3498 ◽

Cited By ~ 6

Author(s):

M. Song ◽

A. Steiff ◽

P.-M. Weinspach

Keyword(s):

Particle Size ◽

Balance Equation ◽

Population Balance ◽

New Method ◽

Population Balance Equation ◽

Size Growth

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Local Fixed Pivot Quadrature Method of Moments for Solution of Population Balance Equation

Processes ◽

10.3390/pr6110209 ◽

2018 ◽

Vol 6 (11) ◽

pp. 209 ◽

Cited By ~ 1

Author(s):

Junwei Su ◽

Wang Le ◽

Zhaolin Gu ◽

Chungang Chen

Keyword(s):

Particle Size ◽

Particle Size Distribution ◽

Size Distribution ◽

Method Of Moments ◽

Balance Equation ◽

Population Balance ◽

New Method ◽

Population Balance Equation ◽

Test Cases ◽

Quadrature Method

A local fixed pivot quadrature method of moments (LFPQMOM) is proposed for the solution of the population balance equation (PBE) for the aggregation and breakage process. First, the sectional representation for aggregation and breakage is presented. The continuous summation of the Dirac Delta function is adopted as the discrete form of the continuous particle size distribution in the local section as performed in short time Fourier transformation (STFT) and the moments in local sections are tracked successfully. Numerical simulation of benchmark test cases including aggregation, breakage, and aggregation breakage combined processes demonstrate that the new method could make good predictions for the moments along with particle size distribution without further assumption. The accuracy in the numerical results of the moments is comparable to or higher than the quadrature method of moment (QMOM) in most of the test cases. In theory, any number of moments can be tracked with the new method, but the computational expense can be relatively large due to many scalar equations that may be included.

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