| 粘滑混合边界条件下平面边界前的Stokes流动 |
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| 引用本文： | N·阿克塔,G·A·H·乔杜里,S·K·森,黄雅意.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). |
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| 作者姓名： | N·阿克塔 G·A·H·乔杜里 S·K·森 黄雅意 |
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| 作者单位： | 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 |
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| 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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| 关 键 词： | Stokes流动 Stokes流函数 粘滑边界条件 调和函数 双调和函数 |
Stokes Flow Before a Plane Boundary With Mixed Stick-Slip Boundary Conditions |
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| 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). |
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| Authors: | NAkhtar GAHChowdhury SKSen |
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| Institution: | N.Akhtar1,G.A.H.Chowdhury1,S.K.Sen2 (1.Department of Mathematics,Shahjalal University of Science and Technology,Sylhet-3114,Bangladesh,2.Research Centre for Mathematical and Physical Sciences,University of Chittagong,Chittagong-4331,Bangladesh) |
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| 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 o... |
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| Keywords: | Stokes flow Stokes's stream function stick-slip boundary conditions harmonic function biharmonic function |
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