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

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

1.
沙赫加拉尔科技大学数学系,锡尔赫特3114,孟加拉;2.吉大港大学数学和物理科学研究中心,吉大港4331,孟加拉

详细信息

中图分类号: O351.2
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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

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

1.
Department of Mathematics, Shahjalal University of Science and Technology, Sylhet-3114, Bangladesh;

摘要

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．
- Stokes流动 /
- Stokes流函数 /
- 粘滑边界条件 /
- 调和函数 /
- 双调和函数
Abstract: A general theorem for Stokes flow about a plane boundary with mixed stick-slip boundary conditions was established.This was done by making use of a representation for the velocity and pressure fields in three-dimensional Stokes flow,in terms of a biharmonic function A and a harmonic function B. The earlier theorem on Stokes flow before a no-slip plane boundary was shown to be a special case of the present theorem.Furthermore,a corollary of the theorem was also derived which offers the solution to a problem of axisymmetric Stokes flow about a rigid plane with stick-slip boundary conditions,in terms of the Stokes stream function.The formulae for the drag and torque exerted by the fluid on the boundary were found.An illustrative example was given.
- Stokes flow /
- Stokes’s stream function /
- stick-slip boundary conditions /
- harmonic function /
- biharmonic function

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参考文献(17)

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