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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (7): 799-805.

• 论文 • 上一篇    下一篇

STOKES FLOW DUE TO FUNDAMENTAL SINGULARITIES BEFORE A PLANE BOUNDARY

N. Aktar1, F. Rahman2, S. K. Sen3   

  1. 1. Department of Mathematics, Shahjalal University of Science and Technology, Sylhet Bangladesh;
    2. Department of Mathematics, Bangladesh Institute of Technology, Khulna, Bangladesh;
    3. Department of Mathematics, University of Chittagong, Chittagon-4331, Bangladesh
  • 收稿日期:2002-10-18 出版日期:2004-07-18 发布日期:2004-07-18
  • 通讯作者: S. K. Shen, Doctor(Corresponding author, Department of Mathematics, University of Chittagong, Chittagong-4331, Bangladesh, E-mail:sujit42@yahoo.com;sujit@ctgu.edu) E-mail:sujit42@yahoo.com;sujit@ctgu.Edu

STOKES FLOW DUE TO FUNDAMENTAL SINGULARITIES BEFORE A PLANE BOUNDARY

N. Aktar1, F. Rahman2, S. K. Sen 3   

  1. 1. Department of Mathematics, Shahjalal University of Science and Technology, Sylhet Bangladesh;
    2. Department of Mathematics, Bangladesh Institute of Technology, Khulna, Bangladesh;
    3. Department of Mathematics, University of Chittagong, Chittagon-4331, Bangladesh
  • Received:2002-10-18 Online:2004-07-18 Published:2004-07-18

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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.

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.

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