A differential-algebraic system is presented to model unstable two-phase flows in pipe-riser systems. Equations derive from the space integration of an isothermal drift-flux model assuming quasi-equilibrium momentum balance. A linear analysis of this system gives a new stability criterion for gas-liquid flows in pipe-riser systems. This criterion is validated by laboratory experiments. Then, a nonlinear analysis shows that the severe slugging phenomenon is a hydrodynamic instability coming from a supercritical Hopf bifurcation.
- Pipeline Division
Stability Analysis of Two-Phase Flows in Pipe-Riser Systems
Zakarian, E. "Stability Analysis of Two-Phase Flows in Pipe-Riser Systems." Proceedings of the 2000 3rd International Pipeline Conference. Volume 2: Integrity and Corrosion; Offshore Issues; Pipeline Automation and Measurement; Rotating Equipment. Calgary, Alberta, Canada. October 1–5, 2000. V002T07A012. ASME. https://doi.org/10.1115/IPC2000-237
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