Various applications of the dispersion model for flow systems with Danckwerts’ boundary conditions

Kudrna, Vladimı́r; Jahoda, M.; Siyakatshana, Njabulo; Čermáková, Jiřina; Majirova, H; Machoň, Václav

doi:10.1016/j.ces.2005.10.038

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…For high values of D a , it would be possible to express the term in square brackets using the sum of the so-called modified complementary error functions (Kudrna et al [17]). By inverse transformation of Eq.…”

Section: Theorymentioning

confidence: 99%

Gas Hold‐Up Evaluation Using the Analytical Solution of the Axial Dispersion Model: Comparison with Static Measurement Results

et al. 2007

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A comparison was made of the gas hold-up values obtained in an aerated mixing vessel of high aspect ratio by both visual measurement of the liquid level rise due to aeration, agitation and processing, and the residence time distribution (RTD) curves of the gas flowing in the vessel. For the description of the RTD curves, the one-dimensional dispersion model with Danckwerts' boundary conditions was adopted and the corresponding equations were solved analytically. Experiments have been performed with both coalescent and non-coalescent systems. It was found that gas hold-up values determined with these two methods are in very good agreement. This also provides additional support for the use of the proposed model.

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Section: Theorymentioning

confidence: 99%

Gas Hold‐Up Evaluation Using the Analytical Solution of the Axial Dispersion Model: Comparison with Static Measurement Results

et al. 2007

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“…Concepts of mixing time (t mix ) and Residence Time Distribution (RTD) have become fundamental tools for the analysis, optimization, and the design of industrial chemical and biochemical reactors (Denckwerts, 1953;Villermaux, 1982;Levenspeil, 1999;Martin, 2000;Leclerc et al, 2000;Kudrna et al, 2006). The mixing time is an overall entity that has long been used to evaluate mixing effectiveness (Nagata, 1975;Zlokarnik, 1998).…”

Section: Introductionmentioning

confidence: 98%

Hydrodynamic Investigation in an Annular Reactor with Mixing Time and Residence Time Distribution: Flow Rates Estimation with the Gauss-Newton Gradient Technique

Rjeb¹,

Hannachi²,

Abdelhamid³

2011

Chemical Product and Process Modeling

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In this work, flow patterns within an annular chemical reactor were characterized. The reactor was modeled by a cascade of communicating Continuous Stirred Tank Reactors (CSTRs) exchanging flow rates of variable intensities. Mixing time and Residence Time Distribution measurements were used as basis for flow modeling. A Matlab computer code has been developed to predict the exchanged flow rates through the minimization of an objective function. This paper describes the parameter estimation technique which is based on the Gauss-Newton method with a linear search algorithm. Only two opposite flow rates between reactor compartments were assumed and were identified for various mixing conditions. For the studied cases, the predicted responses were close to the experimental measurements.

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Various applications of the dispersion model for flow systems with Danckwerts’ boundary conditions

Cited by 2 publications

References 9 publications

Gas Hold‐Up Evaluation Using the Analytical Solution of the Axial Dispersion Model: Comparison with Static Measurement Results

Gas Hold‐Up Evaluation Using the Analytical Solution of the Axial Dispersion Model: Comparison with Static Measurement Results

Hydrodynamic Investigation in an Annular Reactor with Mixing Time and Residence Time Distribution: Flow Rates Estimation with the Gauss-Newton Gradient Technique

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