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A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation

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  • Xia Wang
  • Xiaodong Sun

Abstract

An interfacial area transport equation (IATE), proposed to dynamically describe the interfacial structure evolution of two-phase flows, could help improve the predictive capability of the two-fluid model. The present study aims to investigate the well-posedness issue of a one-dimensional two-fluid model with the IATE (named “two-fluid-IATE model” hereafter) using a characteristic analysis. The momentum flux parameters, which take into account the coupling of the volumetric fraction of phase and velocity distributions over the cross-section of a flow passage, are employed. A necessary condition for the system to achieve hyperbolicity under an adiabatic flow condition is identified. A case study is performed for an adiabatic liquid-liquid slug flow, which shows that the hyperbolicity of the two-fluid-IATE model is guaranteed if appropriate correlations of the momentum flux parameters are applied in the two-fluid-IATE model.

Suggested Citation

  • Xia Wang & Xiaodong Sun, 2010. "A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation," Journal of Applied Mathematics, Hindawi, vol. 2010, pages 1-19, December.
    • Handle: RePEc:hin:jnljam:476839
    DOI: 10.1155/2010/476839
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