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非线性边界滑移挤压膜流动

周平 吴承伟 马国军

周平, 吴承伟, 马国军. 非线性边界滑移挤压膜流动[J]. 应用数学和力学, 2006, 27(9): 1129-1134.
引用本文: 周平, 吴承伟, 马国军. 非线性边界滑移挤压膜流动[J]. 应用数学和力学, 2006, 27(9): 1129-1134.
ZHOU Ping, WU Cheng-wei, MA Guo-jun. Squeeze Film Flow With Nonlinear Boundary Slip[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1129-1134.
Citation: ZHOU Ping, WU Cheng-wei, MA Guo-jun. Squeeze Film Flow With Nonlinear Boundary Slip[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1129-1134.

非线性边界滑移挤压膜流动

基金项目: 国家自然科学基金资助项目(10332010,10272028,10421002);高等学校博士点专项基金资助项目(2003141013)
详细信息
    作者简介:

    周平(1980- ),男,浙江人,博士(E-mail:joep1205@yahoo.com.cn);吴承伟(1957- ),男,教授,博士(联系人.E-mail:cwwu@dlut.edu.cn).

  • 中图分类号: O357.1

Squeeze Film Flow With Nonlinear Boundary Slip

  • 摘要: 用一种包含初始滑移长度和临界剪切率的非线性边界滑移模型研究了两个球体间的挤压流体膜问题.研究发现初始滑移长度对低剪切率下的滑移行为起主要作用,而临界剪切率决定了高剪切率下的边界滑移程度.球体表面挤压流体膜的边界滑移量是与半径坐标相关的高度非线性函数.在挤压膜的中心点和远离中心点处由于低剪切率滑移量等于初始滑移长度,然而在高剪切率区域滑移长度迅速增加.球体挤压膜的流体动压力随着初始滑移长度的增加和临界剪切率的减小而减小,并且临界剪切率对流体动力的影响要比初始滑移长度大的多,当临界剪切率很小的情况下,流体动压随着最小膜厚的减小几乎不再增加.所用模型给出的理论预报和实验非常吻合.
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出版历程
  • 收稿日期:  2005-06-25
  • 修回日期:  2006-06-02
  • 刊出日期:  2006-09-15

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