The Nonlinear Dynamics of Two-Phase Flow in a Simple Heated Loopf

Uddin Rizwan, John J. Dorning

Research output: Contribution to journalArticlepeer-review


The nonlinear dynamics of two-phase flow in heated channels has been studied numerically. Parallel channel density-wave stability analysis has been extended to the case of a simplified loop which includes the heated channel and pump characteristics. A set of two nonlinear functional ODEs obtained for the dynamics of the simplified heated loop with two-phase flow was integrated numerically for parameter values in different regions of the parameter space and various initial conditions. Stable limit cycles exist for parameter values in the region in which the two-phase flow fixed point is unstable, close to the density-wave Msb, and the oscillation amplitude grows monotonically with the distance from the MSB. Delicate dependence upon certain initial histories (t < 0) and initial conditions (t =0) is found for parameter values for which there exist more than one attracting set—stable fixed points, stable limit cycle.

Original languageEnglish (US)
Pages (from-to)1-19
Number of pages19
JournalChemical Engineering Communications
Issue number1
StatePublished - Jan 1990
Externally publishedYes


  • Density-wave oscillations
  • Heated loop
  • Hopf bifurcation
  • Nonlinear dynamics
  • Two-phase flow

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)


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