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.
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)