Chapter 5. A Hyperbolic Model for Two-Phase Flow

  1. Dr. Herbert Städtke

Published Online: 22 JAN 2007

DOI: 10.1002/9783527610242.ch5

Gasdynamic Aspects of Two-Phase Flow: Hyperbolicity, Wave Propagation Phenomena, and Related Numerical Methods

Gasdynamic Aspects of Two-Phase Flow: Hyperbolicity, Wave Propagation Phenomena, and Related Numerical Methods

How to Cite

Städtke, H. (2006) A Hyperbolic Model for Two-Phase Flow, in Gasdynamic Aspects of Two-Phase Flow: Hyperbolicity, Wave Propagation Phenomena, and Related Numerical Methods, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610242.ch5

Author Information

  1. Institute for Energy, Joint European Research Centre (JRC), Ispra Establishment, Italy

Publication History

  1. Published Online: 22 JAN 2007
  2. Published Print: 21 AUG 2006

ISBN Information

Print ISBN: 9783527405787

Online ISBN: 9783527610242

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Keywords:

  • hyperbolic model for two-phase flow;
  • one-dimensional flow;
  • interfacial momentum coupling terms;
  • characteristic analysis;
  • eigenvalues;
  • eigenvectors;
  • splitting of coefficient matrix;
  • two-dimensional two-phase flow conditions

Summary

This chapter contains sections titled:

  • One-dimensional flow

    • Interfacial momentum coupling terms

    • Final form of conservation equations

    • Characteristic analysis – eigenvalues

    • Characteristic analysis – eigenvectors and splitting of coefficient matrix

    • Homogeneous flow conditions as a limiting case

    • Use of conservative variables

    • Quasi-one-dimensional flow through channels of variable cross section

  • Two-dimensional two-phase flow conditions

    • Basic flow equations for two-dimensional flow

    • Eigenvalues and split matrices

    • Conservative form of flow equations

  • Final remarks to the hyperbolic two-phase flow model