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Boundary integral equation method for some Stokes problems

✍ Scribed by Hüsnü Tözeren

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
627 KB
Volume
4
Category
Article
ISSN
0271-2091

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✦ Synopsis

The boundary integral equation method is a numerical technique extensively applied in the solution of boundary value problems from many different engineering fields. The starting point of the method is the formulation of an integral equation which gives the variable at any point in terms of single and double layer potentials whose densities are the values of the variable and its derivatives on the boundary. The method consists of the numerical solution of this integral equation when the field point is taken to lie on the boundary. The present paper extends the formulation of the method to Stokes flows of a collection of particles in infinite circular cylinders. This is achieved by developing matrix Green's functions for Stokes flows in cylindrical boundaries. The results are found to be in good agreement with the results of Wang and Skalak' and T o ~e r e n . ~

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