scholarly journals The verification of the Taylor-expansion moment method in solving aerosol breakage

2012 ◽  
Vol 16 (5) ◽  
pp. 1424-1428 ◽  
Author(s):  
Ming-Zhou Yu ◽  
Kai Zhang
Keyword(s):  
Moment Method ◽  
Taylor Expansion ◽  
High Efficiency ◽  
Population Balance ◽  
Moment Equation ◽  
Method Of Moment ◽  
Balance Equations ◽  
Particle Population ◽  
The Moment ◽  
Linear Integral

The combination of the method of moment, characterizing the particle population balance, and the computational fluid dynamics has been an emerging research issue in the studies on the aerosol science and on the multiphase flow science. The difficulty of solving the moment equation arises mainly from the closure of some fractal moment variables which appears in the transform from the non-linear integral-differential population balance equation to the moment equations. Within the Taylor-expansion moment method, the breakage-dominated Taylor-expansion moment equation is first derived here when the symmetric fragmentation mechanism is involved. Due to the high efficiency and the high precision, this proposed moment model is expected to become an important tool for solving population balance equations.

An adaptive direct quadrature method of moment for population balance equations

AIChE Journal ◽  
2008 ◽  
Vol 54 (11) ◽  
pp. 2872-2887 ◽  
Author(s):  
Junwei Su ◽  
Zhaolin Gu ◽  
Yun Li ◽  
Shiyu Feng ◽  
X. Yun Xu
Keyword(s):  
Population Balance ◽  
Quadrature Method ◽  
Method Of Moment ◽  
Balance Equations ◽  
Population Balance Equations

scholarly journals Moment Equations with Maximum Entropy Closure for Carrier Transport in Semiconductor Devices: Validation in Bulk Silicon

VLSI Design ◽  
2000 ◽  
Vol 10 (4) ◽  
pp. 335-354 ◽  
Author(s):  
A. M. Anile ◽  
O. Muscato ◽  
V. Romano
Keyword(s):  
Maximum Entropy ◽  
Moment Method ◽  
Carrier Transport ◽  
Maximum Entropy Principle ◽  
Bulk Silicon ◽  
Moment Equations ◽  
Balance Equations ◽  
Entropy Principle ◽  
Closure Relations ◽  
The Moment

Balance equations based on the moment method for the transport of electrons in silicon semiconductors are presented. The energy band is assumed to be described by the Kane dispersion relation. The closure relations have been obtained by employing the maximum entropy principle.The validity of the constitutive equations for fluxes and production terms of the balance equations has been checked with a comparison to detailed Monte Carlo simulations in the case of bulk silicon.

scholarly journals Bivariate extension of the moment projection method for the particle population balance dynamics

2019 ◽  
Vol 124 ◽  
pp. 206-227 ◽  
Author(s):  
Shaohua Wu ◽  
Casper Lindberg ◽  
Jethro Akroyd ◽  
Wenming Yang ◽  
Markus Kraft
Keyword(s):  
Projection Method ◽  
Population Balance ◽  
Particle Population ◽  
The Moment ◽  
Balance Dynamics

scholarly journals Spectral gap in random bipartite biregular graphs and applications

2021 ◽  
pp. 1-39
Author(s):  
Gerandy Brito ◽  
Ioana Dumitriu ◽  
Kameron Decker Harris
Keyword(s):  
Community Detection ◽  
Adjacency Matrix ◽  
Moment Method ◽  
Coding Theory ◽  
High Probability ◽  
Spectral Gap ◽  
Matrix Completion ◽  
Full Rank ◽  
The Moment ◽  
Deterministic Matrix

Abstract We prove an analogue of Alon’s spectral gap conjecture for random bipartite, biregular graphs. We use the Ihara–Bass formula to connect the non-backtracking spectrum to that of the adjacency matrix, employing the moment method to show there exists a spectral gap for the non-backtracking matrix. A by-product of our main theorem is that random rectangular zero-one matrices with fixed row and column sums are full rank with high probability. Finally, we illustrate applications to community detection, coding theory, and deterministic matrix completion.

Investigation of the Thermodynamic Properties of Anharmonic Crystals with Defects and Influence of Anharmonicity in Exafs by the Moment Method

1998 ◽  
Vol 12 (02) ◽  
pp. 191-205 ◽  
Author(s):  
Vu Van Hung ◽  
Nguyen Thanh Hai
Keyword(s):  
Thermal Expansion ◽  
Thermodynamic Properties ◽  
Phase Change ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Moment Method ◽  
Adiabatic Compressibility ◽  
Relative Displacement ◽  
The Moment

By the moment method established previously on the basis of the statistical mechanics, the thermodynamic properties of a strongly anharmonic face-centered and body-centered cubic crystal with point defect are considered. The thermal expansion coefficient, the specific heat Cv and Cp, the isothermal and adiabatic compressibility, etc. are calculated. Our calculated results of the thermal expansion coefficient, the specific heat Cv and Cp… of W, Nb, Au and Ag metals at various temperatures agrees well with the measured values. The anharmonic effects in extended X-ray absorption fine structure (EXAFS) in the single-shell model are considered. We have obtained a new formula for anharmonic contribution to the mean square relative displacement. The anharmonicity is proportional to the temperature and enters the phase change of EXAFS. Our calculated results of Debye–Waller factor and phase change in EXAFS of Cu at various temperatures agrees well with the measured values.

An analytical solution for the population balance equation using a moment method

Particuology ◽  
2015 ◽  
Vol 18 ◽  
pp. 194-200 ◽  
Author(s):  
Mingzhou Yu ◽  
Jianzhong Lin ◽  
Junji Cao ◽  
Martin Seipenbusch
Keyword(s):  
Analytical Solution ◽  
Balance Equation ◽  
Moment Method ◽  
Population Balance ◽  
Population Balance Equation
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