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A second kind integral equation formulation for the low Reynolds number interaction between a solid particle and a viscous drop

✍ Scribed by H. Power


Publisher
Springer
Year
1996
Tongue
English
Weight
736 KB
Volume
30
Category
Article
ISSN
0022-0833

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✦ Synopsis


The low Reynolds number motion and deformation of a neutrally buoyant drop (immersed in a different viscous fluid) due to its interaction with a translating solid particle (immersed in the same fluid) is studied. This is achieved by means of a system of second-kind Fredholm integral equations. It is shown that the resulting system of integral equations possesses a unique continuous solution, and thus the proposed form of solution is assured to provide the unique regular solution of the present interaction problem.