STOKES FLOW DUE TO FUNDAMENTAL SINGULARITIES BEFORE A PLANE BOUNDARY  

作　　者：N.Aktar F.Rahman S.K.Sen 

机构地区：[1]Department of Mathematics,Department of Mathematics,Department of Mathematics Shahjalal University of Science and Technology, Sylhet Bangladesh, Bangladesh Institute of Technology, Khulna, Bangladesh, University of Chittagong, Chittagon-4331, Bangladesh

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第7期799-805,共7页应用数学和力学（英文版）

摘　　要：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.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.

关 键 词：Stokes flow Stokeslet Fouries transform harmonic function biharmonic function 

分 类 号：O302[理学—力学]