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粘滑混合边界条件下平面边界前的Stokes流动

N·阿克塔 G·A·H·乔杜里 S·K·森

N·阿克塔, G·A·H·乔杜里, S·K·森. 粘滑混合边界条件下平面边界前的Stokes流动[J]. 应用数学和力学, 2011, 32(6): 746-753. doi: 10.3879/j.issn.1000-0887.2011.06.012
引用本文: N·阿克塔, G·A·H·乔杜里, S·K·森. 粘滑混合边界条件下平面边界前的Stokes流动[J]. 应用数学和力学, 2011, 32(6): 746-753. doi: 10.3879/j.issn.1000-0887.2011.06.012
N. Akhtar, G. A. H. Chowdhury, S. K. Sen. Stokes Flow Before a Plane Boundary With Mixed Stick-Slip Boundary Conditions[J]. Applied Mathematics and Mechanics, 2011, 32(6): 746-753. doi: 10.3879/j.issn.1000-0887.2011.06.012
Citation: N. Akhtar, G. A. H. Chowdhury, S. K. Sen. Stokes Flow Before a Plane Boundary With Mixed Stick-Slip Boundary Conditions[J]. Applied Mathematics and Mechanics, 2011, 32(6): 746-753. doi: 10.3879/j.issn.1000-0887.2011.06.012

粘滑混合边界条件下平面边界前的Stokes流动

doi: 10.3879/j.issn.1000-0887.2011.06.012
详细信息
  • 中图分类号: O351.2

Stokes Flow Before a Plane Boundary With Mixed Stick-Slip Boundary Conditions

  • 摘要: 对具有粘滑混合边界条件的平面边界,建立一个Stokes流动的一般性定理,利用双调和函数A与调和函数B,表示了3维Stokes流动的速度场和压力场.关于无滑动平面边界前Stokes流动的早期定理,成为该一般性定理的一个特例.进一步地,从一般性定理导出了一个推论,根据该Stokes流函数,给出了粘滑边界条件时刚性平面轴对称Stokes流动问题的解,得到了流体作用在边界上的牵引力和扭矩公式.给出了一个说明性的例子.
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出版历程
  • 收稿日期:  2010-07-09
  • 修回日期:  2011-04-11
  • 刊出日期:  2011-06-15

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