平面边界前Stokes流动基本的奇异性

Stokes Flow Due to Fundamental Singularities Before a Plane Boundary

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

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定理成为本文定理的特例．给出的几个例证说明了方法的有效性．
- Stokes流动 /
- Stokeslet /
- 傅里叶变换 /
- 调和函数 /
- 双调和函数
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 the orem.A few illustrative examples are given to show its usefulness.
- Stokes flow /
- Stokeslet /
- Fouries transform /
- harmonic function /
- biharmonic function

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