Stokes Flow Due to Fundamental Singularities Before a Plane Boundary

N. Aktar; F. Rahman; S. K. Sen

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N. Aktar, F. Rahman, S. K. Sen. Stokes Flow Due to Fundamental Singularities Before a Plane Boundary[J]. Applied Mathematics and Mechanics, 2004, 25(7): 729-734.

Citation:

N. Aktar, F. Rahman, S. K. Sen. Stokes Flow Due to Fundamental Singularities Before a Plane Boundary[J]. Applied Mathematics and Mechanics, 2004, 25(7): 729-734.

Citation:

N. Aktar, F. Rahman, S. K. Sen. Stokes Flow Due to Fundamental Singularities Before a Plane Boundary[J]. Applied Mathematics and Mechanics, 2004, 25(7): 729-734.

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Stokes Flow Due to Fundamental Singularities Before a Plane Boundary

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

Received Date: 2002-10-18
Publish Date: 2004-07-15

Abstract

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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References(8)

References

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