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双分散多孔介质圆形和圆环形通道内高速流动分析

王克用 李培超

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. doi: 10.21656/1000-0887.370105
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. doi: 10.21656/1000-0887.370105
WANG Ke-yong, LI Pei-chao. Analysis of High Speed Flow in Circular and Annular Ducts Occupied by Bidisperse Porous Media[J]. Applied Mathematics and Mechanics, 2017, 38(2): 206-215. doi: 10.21656/1000-0887.370105
Citation: WANG Ke-yong, LI Pei-chao. Analysis of High Speed Flow in Circular and Annular Ducts Occupied by Bidisperse Porous Media[J]. Applied Mathematics and Mechanics, 2017, 38(2): 206-215. doi: 10.21656/1000-0887.370105

双分散多孔介质圆形和圆环形通道内高速流动分析

doi: 10.21656/1000-0887.370105
详细信息
    作者简介:

    王克用(1975—),男,副教授,博士,硕士生导师(通讯作者. Tel:+86-21-67791178; E-mail: keyong.wang@hotmail.com).

  • 中图分类号: TK124

Analysis of High Speed Flow in Circular and Annular Ducts Occupied by Bidisperse Porous Media

  • 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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出版历程
  • 收稿日期:  2016-04-08
  • 修回日期:  2016-07-25
  • 刊出日期:  2017-02-15

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