Abstract
The direct boundary element method is used to study the motion of a rigid particle or particles in Stokes flow. The method couples the quasi-static Stokes equations for the fluid with the equilibrium equations for the particles. We consider the problem of Jeffery’s orbit in Couette flow. The results from our numerical calculation match those predicted by Jeffery’s theory well. It is shown that both the shape of the particle and the proximity of the bounding walls can have a large influence on the orientation state of the particle, and thus on the period. We demonstrate that the interaction between particles changes their behavior in Couette flow. We also consider particle motions through contractions and expansions. A comparison is made between the trajectories of elliptical particles and rectangular particles.
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© 1991 Computational Mechanics Publications
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Li, J., Ingber, M.S. (1991). A Boundary Element Study of the Motion of Rigid Particles in Internal Stokes Flow. In: Brebbia, C.A., Gipson, G.S. (eds) Boundary Elements XIII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3696-9_12
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DOI: https://doi.org/10.1007/978-94-011-3696-9_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-696-6
Online ISBN: 978-94-011-3696-9
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