Transient and steady-state models for simulated moving bed processes: numerical solutions

• Tipo: Artigo em Revista Científica Internacional
• Data: 2004

Autores

C. P. Leão (Autor) Outra; Alírio Rodrigues (Autor) FEUP

Revista

Título: Computers and Chemical Engineering

Vol. 28 Nº 9

Páginas: 1725-1741

ISSN: 0098-1354

Editora: Elsevier

Indexação

ISI Proceedings

ISI Web of Knowledge - 15 Citações

Scopus - 15 Citações

Classificação Científica

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia química

Outras Informações

ID Authenticus: P-000-8ZY

DOI: 10.1016/j.compchemeng.2004.01.007

Resumo (PT): The objective of this work is to compare different strategies for the numerical solution of mathematical models of simulated moving bed (SMB) processes to predict the transient and steady-state behaviour. The mathematical model is based on the true moving bed (TMB) description of SMB processes. The model assumes axial dispersion flow for the liquid phase and plug flow for the solid phase. Intraparticle mass transfer was described in terms of a simple linear driving force (LDF) approximation. The mathematical models for transient situations (TM(-)1 and TM(-)2) can be written in terms of system of partial differential-algebraic equations (PDAEs) or partial differential equations (PDEs), respectively, when the algebraic equation representing the adsorption equilibrium isotherm is inserted into the mass conservation/mass transfer kinetics equations or written as separate equation. Similarly, for steady-state the mathematical models (SSM(-)3 and SSM(-)4) are represented by a system of differential-algebraic equations (DAEs) or ordinary differential equations (ODEs). Different public domain solvers were used to numerically solve the four mathematical models described above. For the transient model TM(-)1 the DASSL solver was used to solve the system of PDAEs and for TM(-)2 the PDECOL package was used to solve the system of PDEs. For the steady-state model, the solvers COLDAE and COLNEW were used to solve the DAEs and ODEs systems, corresponding to the models SSM(-)3 and SSM(-)4, respectively. The glucose/fructose separation was used as a test case in a SMB with a 12 column configuration considering both linear and non-linear isotherms. The study of the effect of the operating conditions on the TMB performance and separation regions was also analysed. For the calculation of steady-state concentration profiles and process performance COLDAE solver is recommended because it requires less computing time and allows working with the adsorption equilibrium isotherm separately permitting easy changes on the algebraic relationship. (C) 2004 Elsevier Ltd. All rights reserved.

Abstract (EN): The objective of this work is to compare different strategies for the numerical solution of mathematical models of simulated moving bed (SMB) processes to predict the transient and steady-state behaviour. The mathematical model is based on the true moving bed (TMB) description of SMB processes. The model assumes axial dispersion flow for the liquid phase and plug flow for the solid phase. Intraparticle mass transfer was described in terms of a simple linear driving force (LDF) approximation. The mathematical models for transient situations (TM(-)1 and TM(-)2) can be written in terms of system of partial differential-algebraic equations (PDAEs) or partial differential equations (PDEs), respectively, when the algebraic equation representing the adsorption equilibrium isotherm is inserted into the mass conservation/mass transfer kinetics equations or written as separate equation. Similarly, for steady-state the mathematical models (SSM(-)3 and SSM(-)4) are represented by a system of differential-algebraic equations (DAEs) or ordinary differential equations (ODEs). Different public domain solvers were used to numerically solve the four mathematical models described above. For the transient model TM(-)1 the DASSL solver was used to solve the system of PDAEs and for TM(-)2 the PDECOL package was used to solve the system of PDEs. For the steady-state model, the solvers COLDAE and COLNEW were used to solve the DAEs and ODEs systems, corresponding to the models SSM(-)3 and SSM(-)4, respectively. The glucose/fructose separation was used as a test case in a SMB with a 12 column configuration considering both linear and non-linear isotherms. The study of the effect of the operating conditions on the TMB performance and separation regions was also analysed. For the calculation of steady-state concentration profiles and process performance COLDAE solver is recommended because it requires less computing time and allows working with the adsorption equilibrium isotherm separately permitting easy changes on the algebraic relationship.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 17