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Low nonzero Reynolds number drag of a thin disk settling axisymmetrically within a cylindrical outer boundary

机译:Low nonzero Reynolds number drag of a thin disk settling axisymmetrically within a cylindrical outer boundary

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Measurements have been made of the drag on a thin disk of diameterdmoving broadside through a liquid of viscosity mgr; and density rgr;. The liquid is bounded on the outside by a cylindrical tube, diameterD, which is coaxial with the disk. The geometrical parameter xgr;=d/Dranges from 0.0189 to 0.112. The Reynolds number Re=rgr;Ud/mgr; ranges from 0.0167 to 6.89. When the measured values are extrapolated to Re=0, the results agree with the calculations of Shail and Norton. When extrapolated to xgr;=0, the results agree with the matchedhyphen;asymptotic series solution of Breach for Re1. A new theoretical result, based upon the Oseen approximation, is obtained for the case in which both inertial effects and boundary effects are included, and the results agree with experiment over the range 4xgr;Re0.62 as long as xgr;0.05. An empirical scheme is developed to represent our measurements for Re5 and xgr;0.13. Comparison is made between our results for the drag on a disk and the results of Sutterby for the drag on a sphere. copy;1996 American Institute of Physics.

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