| 双分散多孔介质圆形和圆环形通道内高速流动分析 |
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| 引用本文： | 王克用,李培超.双分散多孔介质圆形和圆环形通道内高速流动分析[J].应用数学和力学,2017,38(2):206-215. |
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| 作者姓名： | 王克用 李培超 |
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| 作者单位： | 上海工程技术大学 机械工程学院, 上海 201620 |
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| 摘 要： | 基于双速度Brinkman-Darcy扩展流动模型，分析了高速流体在双分散多孔介质圆形和圆环形通道内的流动特征.双分散多孔介质裂纹相（f相）和多孔相（p相）流场相互耦合且本质上受四阶微分方程控制.采用正常模式降阶法将原控制方程化简为含两个中间变量的二阶解耦微分方程组，进而方便地推得f相和p相流场的速度分布解析解.不论圆形的还是圆环形的通道，两种结果均表明:两相流场的速度及其速度差随着Darcy数的提高而增大；但随着两相间动量传递程度的加强，两相流场呈现出相反的速度变化趋势，从而导致速度差变小.
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| 关 键 词： | 双分散多孔介质 Brinkman-Darcy扩展流动模型 强迫对流 高速流动 动量传递 |
| 收稿时间： | 2016-04-08 |
Analysis of High Speed Flow in Circular and Annular Ducts Occupied by Bidisperse Porous Media |
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| Affiliation: | School of Mechanical Engineering, Shanghai University of Engineering Science,Shanghai 201620, P.R.China |
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| Abstract: | Based on the two-velocity Brinkman-extended Darcy flow model, the characteristics of high speed flow in circular and annular ducts occupied by bidisperse porous media were analyzed. The flow fields of the fracture (f) and porous (p) phases were inherently governed by the 4th-order system of coupled differential equations. The original governing equations were simplified to a 2nd-order system of decoupled differential equations with the normal mode reduction method. Furthermore, the analytical solutions of velocity distributions were readily derived for the f- and p-phases. Results from both the circular and the annular ducts show that an increase in the Darcy number leads to a reduction in not only the flow velocities of the two phases but their difference. However, the flow velocities of the two phases exhibit an opposite trend with the increase of the momentum transfer between the two phases, resulting in a decrease in the velocity difference. |
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