Application of the possibility theory to the compartment modelling of flow pattern in industrial processes

Claudel, S.; Fonteix, Christian; Leclerc, Jean-Pierre; Lintz, H.‐G.

doi:10.1016/s0009-2509(03)00269-0

Cited by 22 publications

(7 citation statements)

References 10 publications

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“…Als Kriterium für die Einteilung der Flüssigphase in Compartments kann die örtliche Verweilzeit sowie die lokale Vermischung dienen. Die durch Großblasen aufwärts transportierte Flüssigkeit kann dabei als Plug Flow modelliert werden, während die rezirkulierende bzw.…”

Section: Bekannte Compartmentmodellansätze Zur Beschreibung Von Blaseunclassified

Auslegung von Blasensäulen mithilfe von Compartmentmodellen

Rieth

Grünewald

2019

Chemie Ingenieur Technik

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In Blasensäulen sind die Phänomene des Stoff‐ und Wärmetransportes sowie der Reaktion eng mit der komplexen Fluiddynamik verknüpft. Die Compartmentmodellierung mehrphasiger Reaktoren bietet in diesem Zusammenhang einen Lösungsansatz, der zum einen die o. g. Einzelphänomene integriert und zum anderen bei vertretbarem Rechenaufwand neben der axialen auch eine radiale Auflösung der Modellparameter innerhalb des Reaktors bietet. Im Rahmen dieses Beitrags werden Methoden zur Generierung eines Compartmentmodells aufgezeigt, das dann der Optimierung einer Produktionsblasensäule dienen kann.

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Section: Bekannte Compartmentmodellansätze Zur Beschreibung Von Blaseunclassified

Auslegung von Blasensäulen mithilfe von Compartmentmodellen

Rieth

Grünewald

2019

Chemie Ingenieur Technik

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“…Every compartment model is composed of two parts, a structural part, which takes into account the architecture of the model, and a parametric part, which contains the extrinsic parameters of the model 25 . It is clear that the compartment model is composed of the branches containing the elementary reactors (e.g.…”

Section: Mathematical Model For the Magnetic Mixermentioning

confidence: 99%

Experimental study and mathematical modeling of the residence time distribution in magnetic mixer

Rakoczy¹,

Kordas²,

Grądzik³

et al. 2013

Polish Journal of Chemical Technology

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This study reports on research results in the fi eld of a mixing process under the action of a transverse rotating magnetic fi eld (TRMF). The main objective of this paper is to present the effect of this type of a magnetic fi eld on residence time distribution (RTD) measurements. This paper evaluates the performance of a magnetic mixer by comparing the results of an experimental investigations in a pilot set-up and theoretical values obtained from mathematical model. This model consisting of the set of ideal continuous stirred tank reactors (CSTR) fi tted well the experimental data.

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“…The formulation and solution of such "fuzzy-parameterized" models is a subdomain of fuzzy set theory that has received relatively little attention, with much more work having been focused on the use of fuzzy logic and reasoning methods. For example, just within the field of chemical engineering, there have been many applications of fuzzy logic and reasoning, in process control (e.g., Gromov et al, 1995;Chen et al, 2001;Andujar & Bravo, 2005;Chen & Chang, 2006;Sanjuan et al, 2006;Zhang et al, 2006;Kaucsár et al, 2007), safety and reliability analysis (e.g., Yu & Lee, 1991;Takeda et al, 1994;Guimarães & Lapa, 2004;Meel & Seider, 2006;Yong et al, 2007;Hassana et al, 2009), knowledge processing (e.g., Arva & Csukas, 1987;Vrba, 1991;Dohnal et al, 1994;Gromov et al, 1996;Johansen & Foss, 1997;Schmitz & Aldrich, 1998;Tsekouras et al, 2002;Claudel et al, 2003;Stephane & Marc, 2008), and other areas.…”

Section: Introductionmentioning

confidence: 99%

Computing fuzzy trajectories for nonlinear dynamic systems

Măceş

Stadtherr

2013

Computers & Chemical Engineering

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One approach for representing uncertainty is the use of fuzzy sets or fuzzy numbers. A new approach is described for the solution of nonlinear dynamic systems with parameters and/or initial states that are uncertain and represented by fuzzy sets or fuzzy numbers. Unlike current methods, which address this problem through the use of sampling techniques and do not account rigorously for the effect of the uncertain quantities, the new approach is not based on sampling and provides mathematically and computationally rigorous results. This is achieved through the use of explicit analytic representations (Taylor models) of state variable bounds in terms of the uncertain quantities. Examples are given that demonstrate the use of this new approach and its computational performance.

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Application of the possibility theory to the compartment modelling of flow pattern in industrial processes

Cited by 22 publications

References 10 publications

Auslegung von Blasensäulen mithilfe von Compartmentmodellen

Auslegung von Blasensäulen mithilfe von Compartmentmodellen

Experimental study and mathematical modeling of the residence time distribution in magnetic mixer

Computing fuzzy trajectories for nonlinear dynamic systems

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