Fluid Drag on a Sphere Rolling in a Tube

[+] Author and Article Information
A. B. Bauer, R. A. DuPuis

Aeronutronic Division, Philco-Ford Corporation, Newport Beach, Calif.

J. Appl. Mech 34(3), 538-540 (Sep 01, 1967) (3 pages) doi:10.1115/1.3607740 History: Received August 08, 1966; Revised February 01, 1967; Online September 14, 2011


The incompressible fluid drag force on a sphere rolling at constant speed in a closed-end tube has been analyzed for the case where the tube inside diameter is only slightly larger than the sphere diameter. One drag law is found for Reynolds numbers much less than 75π/4λ1/2 , where λ is a parameter defined by the sphere and tube diameters. A second drag law is found for Reynolds numbers much larger than 75π/4λ1/2 . Experimental results show good agreement with these drag laws. The first law is almost identical with the results of Christopherson and Dowson, and of McNown, et al., for a sphere falling in a vertical tube.

Copyright © 1967 by ASME
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