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The Quarterly Journal of Mechanics and Applied Mathematics 1998 51(4):495-513; doi:10.1093/qjmam/51.4.495
© 1998 by Oxford University Press
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Slow translation, rotation or oscillation of a disk in a rotating fluid: effect of a plane wall or another disk

AMJ DavisA and HA StoneA2

( A Mathematics Department, University of Alabama, Tuscaloosa, Alabama 35487-0350, USA A2 Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA )

The steady axial translation and rotation of a circular disk in a rotating viscous fluid is examined as a function of the Taylor number. Both the effect of a second nearby disk and the presence of a plane upper boundary are studied for a wide range of separation distances. A compact solution procedure, based upon a dual integral equation approach, is outlined and also applied to the study of oscillatory disk motion in a rotating fluid. The effects of a wall or a second particle provide insight into multiparticle interactions in rotating fluid systems, which have not received a systematic treatment to date.


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