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Periodic solutions for three sedimenting spheres
dc.contributor.authorCaflisch, Russel E.en_US
dc.contributor.authorLim, Chjan C.en_US
dc.contributor.authorLuke, Jonathan H. C.en_US
dc.contributor.authorSangani, Ashok S.en_US
dc.date.accessioned2010-05-06T20:56:16Z
dc.date.available2010-05-06T20:56:16Z
dc.date.issued1988-11en_US
dc.identifier.citationCaflisch, Russel E.; Lim, Chjan; Luke, Jonathan H. C.; Sangani, Ashok S. (1988). "Periodic solutions for three sedimenting spheres." Physics of Fluids 31(11): 3175-3179. <http://hdl.handle.net/2027.42/69656>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/69656
dc.description.abstractExact periodic solutions are found for the relative motion of three spheres sedimenting in a Stokes fluid. Nearby solutions are found to be nearly periodic for a long time. Existence of the exact periodic solutions is proved using the point‐particle approximation and symmetry properties of Stokes equations. Numerical simulations for finite‐sized particles are performed using a method of multipole expansions.en_US
dc.format.extent3102 bytes
dc.format.extent519449 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/octet-stream
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titlePeriodic solutions for three sedimenting spheresen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationotherCourant Institute of Mathematical Sciences, New York University, New York, New York 10012en_US
dc.contributor.affiliationotherSchool of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455en_US
dc.contributor.affiliationotherChemical Engineering Department, Syracuse University, Syracuse, New York 13210en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/69656/2/PFLDAS-31-11-3175-1.pdf
dc.identifier.doi10.1063/1.866928en_US
dc.identifier.sourcePhysics of Fluidsen_US
dc.identifier.citedreferenceR. E. Caflisch and J. H. C. Luke, in Advances in Multiphase Flow and Related Problems, edited by G. C. Papanicolaou (Springer, New York, 1986), pp. 23–35.en_US
dc.identifier.citedreferenceP. Ganatos, R. Pfeffer, and S. Weinbaum, J. Fluid Mech. 84, 79 (1978).en_US
dc.identifier.citedreferenceL. M. Hocking, J. Fluid Mech. 20, 129 (1964).en_US
dc.identifier.citedreferenceL. Durlofsky, J. F. Brady, and G. Bossis, J. Fluid Mech. 180, 21 (1987).en_US
dc.identifier.citedreferenceS. Kim, Phys. Fluids 30, 2309 (1987).en_US
dc.identifier.citedreferenceG. K. Batchelor, J. Fluid Mech. 52, 245 (1972).en_US
dc.identifier.citedreferenceJ. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Nijhoff, The Hague, 1983).en_US
dc.identifier.citedreferenceK. O. L. F. Jayaweera, B. J. Mason, and G. W. Slack, J. Fluid Mech. 20, 121 (1964).en_US
dc.identifier.citedreferenceA. S. Sangani and S. Behl (private communication).en_US
dc.owningcollnamePhysics, Department of


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