Acta Mathematica Scientia ›› 2018, Vol. 38 ›› Issue (5): 1617-1636.

• Articles • Previous Articles    

REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS

Huanyao WEN1, Lei YAO2, Changjiang ZHU1   

  1. 1. School of Mathematics, South China University of Technology, Guangzhou 510641, China;
    2. School of Mathematics and Center for Nonlinear Studies, Northwest University, Xi'an 710127, China
  • Received:2018-02-05 Online:2018-11-09 Published:2018-11-09
  • Supported by:
    Wen was supported by the National Natural Science Foundation of China (11722104, 11671150), and by GDUPS (2016) and the Fundamental Research Funds for the Central Universities of China (D2172260). Yao was supported by the National Natural Science Foundation of China (11571280, 11331005) and FANEDD No. 201315. Zhu was supported by the National Natural Science Foundation of China (11331005, 11771150).

Abstract: The two-phase flow models are commonly used in industrial applications, such as nuclear, power, chemical-process, oil-and-gas, cryogenics, bio-medical, micro-technology and so on. This is a survey paper on the study of compressible nonconservative two-fluid model, drift-flux model and viscous liquid-gas two-phase flow model. We give the research developments of these three two-phase flow models, respectively. In the last part, we give some open problems about the above models.

Key words: compressible nonconservative two-fluid model, drift-flux model, viscous liquidgas two-phase flow model, well-posedness

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