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| 平面边界前Stokes流动基本的奇异性 | |
| 引用本文： | N．阿克塔 F．冉赫曼 S．K．森 吴承平 张禄坤. 平面边界前Stokes流动基本的奇异性[J]. 应用数学和力学, 2004, 25(7): 729-734 |
| 作者姓名： | N．阿克塔 F．冉赫曼 S．K．森 吴承平 张禄坤 |
| 作者单位： | 1. 沙赫加拉尔理工大学,数学系,色尔赫特,孟加拉 2. 孟加拉工学院,数学系,古尔那,孟加拉 3. 吉达港大学,数学系,吉达港-4331,孟加拉 |
| 摘 要： | 利用双调和函数A和调和函数B，给出了三维Stokes流动速度场和压力场的描述．由此建立了计算区域边界为固定无滑移平面边界Stokes流动基本奇异性的一般定理．刚性平面前轴对称Stokes流动的Collins定理成为本定理的特例．给出的几个例证说明了方法的有效性． |
| 关 键 词： | 傅里叶变换 调和函数 双调和函数 Stokes流动 |
| 文章编号： | 1000-0887(2004)07-0729-06 |
| 修稿时间： | 2002-10-18 |
Stokes Flow Due to Fundamental Singularities Before a Plane Boundary |
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| N·阿克塔,F·冉赫曼,S·K·森. Stokes Flow Due to Fundamental Singularities Before a Plane Boundary[J]. Applied Mathematics and Mechanics, 2004, 25(7): 729-734 | |
| Authors: | N·阿克塔 F·冉赫曼 S·K·森 |
| Affiliation: | N.Aktar~1,F.Rahman~2,S.K.Sen~3 |
| Abstract: | A representation for the velocity and pressure fields in three dimensional Stokes flow was presented in terms of a biharmonic function A and a harmonic function B.This representation was used to establish a general theorem for the calculation of Stokes flow due to fundamental singularities in a region bounded by a stationary no-slip plane boundary.Collins's theorem for axisymmetric Stokes flow before a rigid plane follows as a special case of the theorem.A few illustrative examples are given to show its usefulness. |
| Keywords: | Stokes flow Stokeslet Fouries transform harmonic function biharmonic function |
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