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多孔介质中流体输运的孔尺度SPH模拟
PORESCALE SPH SIMULATION OF FLOW IN POROUS MEDIA
【摘要】 本文采用光滑粒子流体动力学(SPH)方法对流体流过多孔介质的过程进行数值模拟,方法与程序用经典的Poiseuille流与多孔介质流动的Kozeny解进行了验证。SPH进一步用于数值模拟跨膜流动,获得了跨膜流动中速度场随时间的演化过程。多孔膜孔径在1μm到200μm范围内,流体跨膜渗透速度的SPH结果与K-K方程的计算值吻合较好。文中还讨论了粒子数目与计算精度的关系。本文的计算结果表明SPH方法具有模拟多孔介质微流动的能力。
【Abstract】 This paper has simulated the process of fluid flowing through porous media using Smoothed Particle Hydrodynamics(SPH)method.The validity of SPH method and program has been verified by classical Poiseuille flow and Kozeny solution of flow in porous media.Employing SPH method, trans-membrane flow is further simulated,the velocity field’s evolvement versus time is obtained.The trans-membrane filtration velocities acquired using SPH method are in good agreement with the results calculated by K-K equation,when the pore’s diameter of the membrane is between 1μm and 200μm. Furthermore,the relationship between simulation precision and particle number is also discussed in this paper.It has been shown that SPH method has the potential of modeling micro-flows in porous media.
【Key words】 smoothed particle hydrodynamics; porous media; filtration velocity; K-K equation;
- 【文献出处】 工程热物理学报 ,Journal of Engineering Thermophysics , 编辑部邮箱 ,2009年03期
- 【分类号】TK124
- 【被引频次】5
- 【下载频次】335