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UID:pretalx-amfc2026-RZPHTK@modelica.simtek.cc
DTSTART;TZID=CST:20260922T141500
DTEND;TZID=CST:20260922T144000
DESCRIPTION:This paper studies the local stability of a pressure–phasecoo
 rdinate control-volume model for one-dimensional compressible flow. Using 
 pressure and a generalized phase coordinate as the state variables\, the m
 odel retains the essential effects of compressibility\, phase change\, flo
 w restriction\, and wall heat transfer while remaining simple enough for c
 losed-form analysis. Starting from the mass and energy balances\, explicit
  state equations are derived and linearized about an equilibrium operating
  point. The analysis yields a closed-form factorization of the Jacobian de
 terminant\, showing that saddle versus non-saddle behavior is governed by 
 a single phase-coordinate sensitivity term in the energy balance. In stric
 tly single-phase regions\, and in the bulk of the two-phase region under t
 he present approximation\, the model is non-saddle. By contrast\, sharp he
 at-transfer variation near phase boundaries can drive direct stable-to-sad
 dle transitions. In a higherpressure regime\, the analysis also identifies
  conditions under which a Hopf candidate may arise. These results provide 
 a simple and physically interpretable framework for understanding how heat
  transfer influences local stability in two-phase flow models.
DTSTAMP:20261004T070804Z
LOCATION:Modelica Technology & AI (R1001)
SUMMARY:Closed-Form Local Stability of a Pressure-Phase-Coordinate Control-
 Volume Model - Hongtao Qiao\, Christopher Laughman\, Vedang Deshpande\, Sc
 ott Bortoff
URL:https://modelica.simtek.cc/amfc2026/talk/RZPHTK/
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