| 粘滑混合边界条件下平面边界前的Stokes流动 |
| |
| 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). DOI: 10.3879/j.issn.1000-0887.2011.06.012 |
| |
| 作者姓名： | N·阿克塔 G·A·H·乔杜里 S·K·森 黄雅意 |
| |
| 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 |
| |
| 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.
|
| 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 |
| |
| 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). DOI: 10.3879/j.issn.1000-0887.2011.06.012 |
| |
| Authors: | N.Akhtar G.A.H.Chowdhury S.K.Sen |
| |
| Affiliation: | 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) |
| |
| 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... |
| |
| Keywords: | Stokes flow Stokes's stream function stick-slip boundary conditions harmonic function biharmonic function |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
