REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (5): 1617-1636.

• 论文 • 上一篇

REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS

Huanyao WEN¹, Lei YAO², Changjiang ZHU¹

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

收稿日期:2018-02-05 出版日期:2018-11-09 发布日期:2018-11-09
作者简介:Huanyao WEN,E-mail:mahywen@scut.edu.cn;Lei YAO,E-mail:leiyao@nwu.edu.cn;Changjiang ZHU,E-mail:machjzhu@scut.edu.cn
基金资助:
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).

REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS

Huanyao WEN¹, Lei YAO², Changjiang ZHU¹

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).

摘要/Abstract

摘要： 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.

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

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

Huanyao WEN, Lei YAO, Changjiang ZHU. REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS[J]. 数学物理学报(英文版), 2018, 38(5): 1617-1636.

Huanyao WEN, Lei YAO, Changjiang ZHU. REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS[J]. Acta Mathematica Scientia, 2018, 38(5): 1617-1636.

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REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS

REVIEW ON MATHEMATICAL ANALYSIS OF SOME TWO-PHASE FLOW MODELS

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