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Motion of a Sphere in a Rotating Fluid at Small Reynolds Numbers
dc.contributor.authorDavis, Philip Keith.en_US
dc.date.accessioned2010-05-06T22:58:24Z
dc.date.available2010-05-06T22:58:24Z
dc.date.issued1965-04en_US
dc.identifier.citationDavis, Philip K. (1965). "Motion of a Sphere in a Rotating Fluid at Small Reynolds Numbers." Physics of Fluids 8(4): 560-567. <http://hdl.handle.net/2027.42/70953>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70953
dc.description.abstractThe slow steady rise of a solid sphere along the axis of a uniformly rotating viscous liquid is studied when the Reynolds number, based on the translational velocity along the axis of rotation, is less than unity. The terminal velocity of a sphere rising slowly along the axis of a uniformly rotating viscous liquid has been determined experimentally. Spheres of varying sizes with a density less than that of the fluid were released at the bottom of a rotating cylinder filled with castor oil. The subsequent terminal velocities along the axis of rotation were measured. It has been found that the rise velocity decreases from the Stokes velocity as the angular speed of rotation is increased. The governing equations show that this is due to the Coriolis acceleration.en_US
dc.format.extent3102 bytes
dc.format.extent486734 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleMotion of a Sphere in a Rotating Fluid at Small Reynolds Numbersen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumThe University of Michigan, Ann Arbor, Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70953/2/PFLDAS-8-4-560-1.pdf
dc.identifier.doi10.1063/1.1761269en_US
dc.identifier.sourcePhysics of Fluidsen_US
dc.identifier.citedreferenceG. I. Taylor, Proc. Roy. Soc. (London) A93, 99 (1917); Proc. Cambridge Phil. Soc. 20, 326 (1921); Proc. Roy. Soc. (London) A100, 114 (1922), A102, 180 (1922), A104, 213 (1923); Proceedings of the First International Congress on Applied Mechanics, edited by C. B. Biezeno and J. M. Burgers (Waltman, Delft, The Netherlands, 1924), pp. 89–96.en_US
dc.identifier.citedreferenceJ. Proudman, Proc. Roy. Soc. (London) A92, 408 (1916).en_US
dc.identifier.citedreferenceS. F. Grace, Proc. Roy. Soc. (London) A102, 89 (1922), A104, 278 (1923), A105, 532 (1924), A113, 46 (1926).en_US
dc.identifier.citedreferenceH. Lamb, Hydrodynamics (Dover Publications, Inc., New York, 1945), pp. 318 and 722.en_US
dc.identifier.citedreferenceThis information was kindly supplied to the writer by the manufacturer, The Baker Castor Oil Company.en_US
dc.identifier.citedreferenceV. Fidleris and R. L. Whitmore, Brit. J. Appl. Phys. 12, 490 (1961).en_US
dc.owningcollnamePhysics, Department of


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