Title
Approximate ODE models for population balance systems.
Abstract
We propose an approximate polynomial method of moments for a class of first-order linear PDEs (partial differential equations) of hyperbolic type, involving a filtering term with applications to population balance systems with fines removal terms. The resulting closed system of ODEs (ordinary differential equations) represents an extension to a recently published method of moments which utilizes least-square approximations of factors of the PDE over orthogonal polynomial bases. An extensive numerical analysis has been carried out for proof-of-concept purposes. The proposed modeling scheme is generally of interest for control and optimization of processes with distributed parameters. (C) 2014 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2015
10.1016/j.compchemeng.2014.12.015
Computers & Chemical Engineering
Keywords
Field
DocType
Method of moments,Population balance equation,Least-square approximation,Method of characteristics
Population,Mathematical optimization,Population balance equation,Ordinary differential equation,Mathematical analysis,Method of characteristics,Numerical analysis,Partial differential equation,Ode,Mathematics,Method of moments (statistics)
Journal
Volume
ISSN
Citations 
74
0098-1354
0
PageRank 
References 
Authors
0.34
1
4
Name
Order
Citations
PageRank
Naim Bajçinca1269.66
Steffen Hofmann201.01
D. Bielievtsov300.34
Kai Sundmacher44912.51