Article ID Journal Published Year Pages File Type
172268 Computers & Chemical Engineering 2015 11 Pages PDF
Abstract

•An extension of the method of moments covering a wide class of PBEs.•Model design for model-based control and optimization of PBEs.•The class of PBEs involving size-dependent growth rate and fines removal term.•Investigation of the impact of multiple precision computation.•Comparison to a scheme based on method of characteristics in various case-studies.

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.

Related Topics
Physical Sciences and Engineering Chemical Engineering Chemical Engineering (General)
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