A non-equilibrium approach to model flash dynamics with interface transport

In this paper, we present a modeling framework for a class of multiphase chemical systems based on non-equilibrium thermodynamics. Compartmental modeling is used to establish the dynamic properties of liquid–vapor systems operating far from thermodynamic equilibrium. In addition to the bulk-phase mo...

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Bibliographic Details
Published in:Journal of process control 2019-08, Vol.80, p.211-222
Main Authors: Romo-Hernandez, Aarón, Hudon, Nicolas, Erik Ydstie, B., Dochain, Denis
Format: Article
Language:English
Subjects:
Differential-algebraic systems
Entropy production
Flash-drum dynamics
Lyapunov stability
Multiphase systems
Non-equilibrium thermodynamics
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Summary:In this paper, we present a modeling framework for a class of multiphase chemical systems based on non-equilibrium thermodynamics. Compartmental modeling is used to establish the dynamic properties of liquid–vapor systems operating far from thermodynamic equilibrium. In addition to the bulk-phase molar/energetic dynamics, interface transport processes yield to algebraic constraints in the model description. The irreversible system is thus written as a system of differential-algebraic equations (DAEs). The non-equilibrium liquid–vapor DAE system is shown to be of index one. A local stability analysis for the model shows that the equilibrium state is unstable for non-isobaric operation regimes, whereas numerical evidence shows that isobaric operation regimes are stable. To extend the stability analysis, internal entropy production for the irreversible flash-drum is presented as a Lyapunov function candidate.
ISSN:0959-1524
1873-2771
DOI:10.1016/j.jprocont.2019.04.012