On the hyperbolicity of one-dimensional models for transient two-phase flow in a pipeline

V. D. Zhibaedov, N. A. Lebedeva, A. A. Osiptsov, K. F. Sin’kov

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

Characteristic properties of one-dimensionalmodels of transient gas-liquid two-phase flows in long pipelines are investigated. The methods for studying the hyperbolicity of the systems of equations of multi-fluid and drift-fluxmodels are developed. On the basis of analytical and numerical studies, the limits of the hyperbolicity domains in the space of governing dimensionless parameters are found, and the impact of the closure relations on the characteristic properties of the models is analyzed. The methods of ensuring the global unconditional hyperbolicity are proposed. Explicit formulas for the eigenvelocities of the system of the drift-flux model equations are obtained and the conclusions about their sign-definiteness are drawn.

Original languageEnglish
Pages (from-to)56-69
Number of pages14
JournalFluid Dynamics
Volume51
Issue number1
DOIs
Publication statusPublished - 1 Jan 2016
Externally publishedYes

Keywords

  • drift flux model
  • hyperbolicity
  • multi-fluid approach
  • multiphase flows
  • pipe flow

Fingerprint

Dive into the research topics of 'On the hyperbolicity of one-dimensional models for transient two-phase flow in a pipeline'. Together they form a unique fingerprint.

Cite this