考虑流固耦合作用的管涌发展数学模型研究

梁越; 陈亮; 陈建生

考虑流固耦合作用的管涌发展数学模型研究 English Version

梁越^1,2,3,4,
陈亮^1,3,4,
陈建生^3,4

1. 重庆交通大学省部共建水利水运工程教育部重点实验室，重庆 400074 ； 2. 重庆交通大学国家内河航道整治工程技术研究中心，重庆 400074 ； 3. 河海大学岩土力学与堤坝工程教育部重点实验室，江苏南京 210098 ； 4. 河海大学岩土工程研究所，江苏南京 210098

基金项目: 国家重点基础研究发展规划（ 973 计划）项目（ 2007CB714102 ）；教育部博士点基金项目（ 20090094110007 ）；重庆交通大学省部共建水利水运工程教育部重点实验室开放基金项目（ SLK2008A02 ）

详细信息

作者简介:
梁越 (1985 – ) ，男，山东临沂人，博士研究生，主要从事渗流理论与渗透破坏机理方面的研究。

中图分类号: TV139.14
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出版历程
- 发布日期: 2011-08-14

Mathematical model for piping development considering fluid-solid interaction

LIANG Yue^1,2,3,4,
CHEN Liang^1,3,4,
CHEN Jian-sheng^3,4

1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Chongqing Jiaotong University, Chongqing 400074, China; 2. National Inland Waterway Regulation Engineering Research Center, Chongqing Jiaotong University, Chongqing 400074, China; 3. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China; 4. Geotechnical Research Institute, Hohai University, Nanjing 210098, China

摘要

摘要: 根据质量守恒定律，针对单元体中移动颗粒的质量守恒，得到了管涌过程中移动颗粒的连续性方程；颗粒的运动与流体的流动相互关联，结合渗流的连续性方程，得到了管涌发展过程中的流固耦合模型；根据颗粒流失与渗流场变化的相互关系，对渗透系数、单位流失量、孔隙率等参数的联系进行量化，结合初始条件与边界条件，即可实现耦合模型的求解。最后，针对一维管涌情况，利用分时步法对模型进行解耦，以有限差分法对模型进行离散并成功求解，分析了管涌过程中颗粒流失、流速、孔隙率以及剩余颗粒量等参数的变化规律；在不同水力梯度下进行重复试验，分析了水力梯度在管涌发展中对各参数变化规律的影响。
- 流固耦合 /
- 管涌 /
- 质量守恒定律 /
- 起动流速 /
- 有限差分法
Abstract: Based on the law of conservation of mass, the conservation of mass of transporting particles in the cell body is determined, from which a continuity equation of the transporting particles is derived. Particle transporting is associated with the fluid flow. So the calculation should combine the continuity equation of flow in the seepage field. Then a fluid-solid interaction model is proposed. Based on the relations between the particle loss and the change of the seepage field, the relationship among the permeability coefficient, losses quantity, porosity and other parameters is quantified. The coupled model can be solved combined with the initial conditions and boundary conditions. Finally, a one-dimensional piping problem is simulated by means of the proposed model. Decoupled by a time-step method, the model is solved successfully by use of the finite difference method. From the calculated results, the variations of the particle loss, seepage velocity, porosity and the remaining particle volume in the piping proceeding are analyzed. The impact of the hydraulic gradient is discussed as well with repeated calculation under different hydraulic gradients.
- fluid-solid interaction /
- piping /
- law of conservation of mass /
- starting velocity /
- finite difference method

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参考文献(17)

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