Sedimentation of Four or Six Spheres in a Newtonian Fluid at Low Reynolds Numbers

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The Demonstration simulates the sedimentation of four or six spheres with a particular initial symmetric geometric arrangement. A Newtonian fluid at low Reynolds numbers is assumed.

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The data on the positions of the spheres versus time comes from a three-dimensional numerical simulation using a method called Stokesian dynamics, which was developed in the mid-1980s by Bossis and Brady. It is apparent from the simulation that, as time elapses, the spheres return periodically to their initial geometrical arrangement.

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Contributed by: Housam Binous (July 2009)
Open content licensed under CC BY-NC-SA


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Details

J. Brady and G. Bossis, "Stokesian Dynamics," Ann. Rev. Fluid Mech. 20, 1988 pp. 111–157.



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