scholarly journals An improved particle population balance equation in the continuum-slip regime

2016 ◽  
Vol 20 (3) ◽  
pp. 921-926 ◽  
Author(s):  
Mingliang Xie ◽  
Jin Li ◽  
Tingting Kong ◽  
Qing He
Keyword(s):  
Asymptotic Behavior ◽  
Correction Factor ◽  
Balance Equation ◽  
Present Model ◽  
Population Balance ◽  
Population Balance Equation ◽  
Brownian Coagulation ◽  
Slip Regime ◽  
Particle Population ◽  
The Continuum

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.

A new analytical solution for solving the population balance equation in the continuum-slip regime

2015 ◽  
Vol 80 ◽  
pp. 1-10 ◽  
Author(s):  
Mingzhou Yu ◽  
Xiaotong Zhang ◽  
Guodong Jin ◽  
Jianzhong Lin ◽  
Martin Seipenbusch
Keyword(s):  
Analytical Solution ◽  
Balance Equation ◽  
Population Balance ◽  
Population Balance Equation ◽  
Slip Regime ◽  
The Continuum

scholarly journals A bimodal temom model for particle Brownian coagulation in the continuum-slip regime

2016 ◽  
Vol 20 (3) ◽  
pp. 927-932
Author(s):  
Qing He ◽  
Jin Li ◽  
Tingting Kong ◽  
Mingliang Xie
Keyword(s):  
Asymptotic Behavior ◽  
Series Expansion ◽  
Correction Factor ◽  
Taylor Series ◽  
Volume Fraction ◽  
Taylor Series Expansion ◽  
Number Concentration ◽  
Brownian Coagulation ◽  
Slip Regime ◽  
The Continuum

In this paper, a bimodal Taylor-series expansion moment of method is proposed to deal with Brownian coagulation in the continuum-slip regime, where the non-linear terms in the Cunningham correction factor is approximated by Taylor-series expansion technology. The results show that both the number concentration and volume fraction decrease with time in the smaller mode due to the intra and inter coagulation, and the asymptotic behavior of the larger mode is as same as that in the continuum regime.

scholarly journals Analytical time-stepping solution of the discretized population balance equation

2020 ◽  
Vol 135 ◽  
pp. 106741
Author(s):  
Mohamed Ali Jama ◽  
Wenli Zhao ◽  
Waqar Ahmad ◽  
Antonio Buffo ◽  
Ville Alopaeus
Keyword(s):  
Balance Equation ◽  
Population Balance ◽  
Population Balance Equation ◽  
Time Stepping ◽  
Analytical Time
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