Steady-state simulation of a continuous moving bed reactor in the pulp and paper industry

Fernandes, Natércia C. P.; Castro, José Almiro A. M.

doi:10.1016/s0009-2509(00)00063-4

Cited by 21 publications

(25 citation statements)

References 6 publications

(9 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The results obtained for the evolution problem present physical evidence. The stationary results agree with the numerical results in [1]. …”

Section: A Moving Bed Reactor Used In the Paper Industrysupporting

confidence: 86%

“…In this section we consider the system of hyperbolic partial differential equations that describes the behaviour of a moving bed reactor -the digesterused in the paper and pulp industry ( [1]). …”

Section: A Moving Bed Reactor Used In the Paper Industrymentioning

confidence: 99%

“…In system (27), the velocity u F is positive for i = 1, 2, 3 -the liquid phase flows downwards -and is negative for i = 4, 5, and z ≥ EXT -because the liquid phase flows upwards countercurrently. The reaction terms R i are represented by exponential functions depending on y i and are experimentally established in [1]. The boundary and initial conditions as well as the values of the parameters used in the model were obtained experimentally and are established in [1].…”

Section: A Moving Bed Reactor Used In the Paper Industrymentioning

confidence: 99%

“…The reaction terms R i are represented by exponential functions depending on y i and are experimentally established in [1]. The boundary and initial conditions as well as the values of the parameters used in the model were obtained experimentally and are established in [1].…”

Section: A Moving Bed Reactor Used In the Paper Industrymentioning

confidence: 99%

“…Recent literature ( [2], [4], [6]) has provided several ways of dealing with operator splitting as far as the sequence of these physical phenomena and also the possible coupling between some of them are concerned. Numerical simulations in [0,1] pointed out that the coupling of reactions with diffusive transport in a sequence composed by a convection problem in a certain interval [0, t/2], a diffusion-reaction problem in [0, t] and a final convection problem in [t/2, t] perform notably better than an uncoupled splitting. In this paper we present a theoretical justification of this numerical evidence by studying the splitting errors and the stability properties of some numerical methods, based on different sequences and couplings of physical phenomena.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

The use of splitting methods in the numerical simulation of reacting flows

Araújo

Ferreira

Oliveira

et al. 2004

Comput. Visual Sci.

View full text Add to dashboard Cite

The aim of this paper is to study discretizations of convectiondiffusion-reaction equations using splitting methods. Estimates for the physical splitting errors and the numerical splitting errors are established. These estimates lead to the selection of optimal sequences and coupling of physical phenomena and adequate use of implicitness and explicitness. Numerical simulations of two chemical industry problems are included.

show abstract

“…The results obtained for the evolution problem present physical evidence. The stationary results agree with the numerical results in [1]. …”

Section: A Moving Bed Reactor Used In the Paper Industrysupporting

confidence: 86%

Section: A Moving Bed Reactor Used In the Paper Industrymentioning

confidence: 99%

Section: A Moving Bed Reactor Used In the Paper Industrymentioning

confidence: 99%

Section: A Moving Bed Reactor Used In the Paper Industrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The use of splitting methods in the numerical simulation of reacting flows

Araújo

Ferreira

Oliveira

et al. 2004

Comput. Visual Sci.

View full text Add to dashboard Cite

show abstract

Multiscale modeling and multiobjective control of wood fiber morphology in batch pulp digester

Choi

Kwon

2020

AIChE Journal

View full text Add to dashboard Cite

Even though it is widely known that mechanical properties of papers are dependent upon fiber morphology such as fiber length and cell wall thickness, existing macroscopic models are limited in describing the microscopic traits of pulp. Thus, we proposed a multiscale model by integrating a macroscopic model (i.e., Purdue model) and a microscopic model (i.e., kinetic Monte Carlo algorithm) to capture the dynamic evolution of the fiber morphology as well as conventional pulp quality index such as Kappa number. Then, a reduced‐order model is identified to handle the computational requirement of the multiscale model, and implemented to a model‐based controller to regulate both the fiber length and the Kappa number which are expressed in the forms of conflicting objective functions. The epsilon‐constraint method is employed to find the Pareto optimal sets to provide decision makers with the degree of freedom to choose one according to their preferred end‐use paper properties.

show abstract

Simulating the impact of kraft pulping and bleaching parameters on Eucalyptus camaldulensis pulp properties using MATLAB

et al. 2010

View full text Add to dashboard Cite

In this work, Eucalyptus camaldulensis was evaluated as the raw material for chemical pulp under different pulping and bleaching conditions. The pulping was carried out at different H-factors, and at different effective alkalis. The resulting pulps were then oxygen delignified and bleached using various dosages of bleaching chemicals in a D 0 EpD 1 sequence. The effect of independent variables (pulping or bleaching variables) on dependent variables (pulp properties) was analysed based on the multivariable least square method via MATLAB software. An agreement was found between the results predicted from the models and the experimental data. To obtain a kappa number of 15, the optimum pulping conditions were a temperature of 155 • C, a time of 225 min, and an EA of 23%. Also, the hexenuronic acid (HexA) content of cooked pulp was significantly decreased in the chlorine dioxide bleaching stages, and was only marginally related to the final HexA content of bleached pulps.Dans ce travail, onévalue l'Eucalyptus camaldulensis comme matière première pour produire de la pulpe chimique dans différentes conditions de désintégration et de blanchiment. La désintégration aété effectuéeà différents facteurs H et avec différents matériaux alcalins. Les pulpes résultantesétaient ensuite délignifiéesà l'oxygène et blanchies avec différents dosages d'agents chimiques de blanchiment dans une séquence D0EpD1. On a analysé l'effet des variables indépendantes (variables de désintégration ou de blanchiment) sur les variables dépendantes (propriétés des pulpes) en se basant sur la méthode multivariable des moindres carrés via un logiciel MATLAB. On a obtenu une bonne correspondance entre les résultats prédits par les modèles et les données expérimentales. Pour obtenir un nombre kappa de 15, les conditions optimales de désintégratioń etaient : température de 155 • C, durée de 225 min et une valeur de EA de 23%. De plus, le contenu d'acide hexénuronique (HexA) de la pulpé etait significativement réduit durant lesétapes de blanchiment au dioxyde de chlore et n'était que marginalement lié au contenu final de HexA des pulpes blanchies.

show abstract

Steady-state simulation of a continuous moving bed reactor in the pulp and paper industry

Cited by 21 publications

References 6 publications

The use of splitting methods in the numerical simulation of reacting flows

The use of splitting methods in the numerical simulation of reacting flows

Multiscale modeling and multiobjective control of wood fiber morphology in batch pulp digester

Simulating the impact of kraft pulping and bleaching parameters on Eucalyptus camaldulensis pulp properties using MATLAB

Contact Info

Product

Resources

About