球形空腔内气液两相毛细压力与饱和度的关系

doi:10.11949/j.issn.0438-1157.20160720

化工学报 ›› 2016, Vol. 67 ›› Issue (S1): 40-46.DOI: 10.11949/j.issn.0438-1157.20160720

球形空腔内气液两相毛细压力与饱和度的关系

刘桂玲, 闵敬春, 汤一村

清华大学工程力学系, 热科学与动力工程教育部重点实验室, 北京 100084

收稿日期:2016-05-25 修回日期:2016-06-02 出版日期:2016-08-31 发布日期:2016-08-31
通讯作者: 闵敬春,minjc@tsinghua.edu.cn
基金资助:
国家自然科学基金项目（51376103）。

Capillary pressure-saturation relation for gas-liquid two-phase fluid in spherical pore

LIU Guiling, MIN Jingchun, TANG Yicun

Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

Received:2016-05-25 Revised:2016-06-02 Online:2016-08-31 Published:2016-08-31
Supported by:
supported by the National Natural Science Foundation of China (51376103).

摘要/Abstract

摘要：

毛细压力与饱和度的关系是多孔介质多相流最基本、最重要的关系之一。综述了毛细压力与饱和度关系的研究现状，列举了多种毛细压力与饱和度关系模型，展现了Leverett-J函数的发展历程。在此基础上以单个球形空腔内气液两相流体为研究对象，依据几何分析推导得到了固液接触角分别为10°、30°、60°和90°时毛细压力随饱和度的变化关系，计算结果与文献中的实验结果具有相同的变化趋势，从而很好地说明了毛细压力与饱和度关系曲线的变化特征。

关键词: 多孔介质, 球形空腔, 气液两相流, 毛细压力, 饱和度, 孔隙率

Abstract:

The relationship between capillary pressure and saturation is one of the most basic and important issues of multiphase flow in porous media. The-state-of-the-art of theoretical models on capillary pressure-saturation relation as well as the progress of Leverett-J function are reviewed and discussed, and then the capillary pressure-saturation equations for liquid-gas two-phase fluid in a single spherical cavity are derived through geometry manipulation. Calculations are performed for solid-liquid contact angles of 10°, 30°, 60° and 90° using such equations, the obtained results are consistent with the experimental data in the literature, providing a rational explanation for the variation characteristics of the capillary pressure-saturation curve.

Key words: porous medium, spherical pore, gas-liquid two-phase fluid, capillary pressure, saturation, porosity

中图分类号:

O359⁺.1

刘桂玲, 闵敬春, 汤一村. 球形空腔内气液两相毛细压力与饱和度的关系[J]. 化工学报, 2016, 67(S1): 40-46.

LIU Guiling, MIN Jingchun, TANG Yicun. Capillary pressure-saturation relation for gas-liquid two-phase fluid in spherical pore[J]. CIESC Journal, 2016, 67(S1): 40-46.

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球形空腔内气液两相毛细压力与饱和度的关系

Capillary pressure-saturation relation for gas-liquid two-phase fluid in spherical pore

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