A Non-equilibrium Approach to Model Flash Dynamics with Interface Transport

Romo Hernandez, Aaron;Dochain, Denis;Ydstie, Erik;Hudon, Nicolas
(2019) Journal of Process Control — Vol. 80, p. 211-222 (2019)

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Authors
  • Romo Hernandez, AaronUCLouvain
    Author
  • Dochain, DenisUCLouvain
    Author
  • Ydstie, ErikCarnegie Mellon University
    Author
  • Hudon, NicolasQueen's University
    Author
Abstract
In this paper, we present a modeling framework for a class of multiphase chemical systems based onnon-equilibrium thermodynamics. Compartmental modeling is used to establish the dynamic propertiesof liquid–vapor systems operating far from thermodynamic equilibrium. In addition to the bulk-phasemolar/energetic dynamics, interface transport processes yield to algebraic constraints in the modeldescription. 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 themodel shows that the equilibrium state is unstable for non-isobaric operation regimes, whereas numer-ical evidence shows that isobaric operation regimes are stable. To extend the stability analysis, internalentropy production for the irreversible flash-drum is presented as a Lyapunov function candidate.
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Citations

Romo Hernandez, A., Dochain, D., Ydstie, E., & Hudon, N. (2019). A Non-equilibrium Approach to Model Flash Dynamics with Interface Transport. Journal of Process Control, 80, 211-222. https://hdl.handle.net/2078.5/170316 (Original work published 2019)