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The motion of a sphere in a cylinder filled with a viscous liquid and with a diameter slightly larger than the sphere diameter

Citation

Snel, Hermanus (1970) The motion of a sphere in a cylinder filled with a viscous liquid and with a diameter slightly larger than the sphere diameter. Engineer's thesis, California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-11142005-111117

Abstract

The flow around a sphere, moving under the influence of gravity in a long cylinder filled with a viscous liquid, is investigated, for the case where the inside diameter of the tube is only slightly larger than the diameter of the sphere.

For low Reynolds numbers, an extension of the Christopherson and Dowson (1) theory is obtained in the form of a first order Reynolds number correction. It is shown that the fluid exerts a first order inertial force on the ball, tending to increase the eccentricity ratio. The sideways motion of the ball due to this force has been calculated approximately.

For very high Reynolds numbers, a potential flow solution has been found in the form of a Fourier series. This solution also yields a force tending to increase the eccentricity ratio.

Experiments have been done for intermediate Reynolds numbers. The motion of the ball appears to be unstable when the Reynolds number exceeds a critical value (about 10).

Item Type:Thesis (Engineer's thesis)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Saffman, Philip G.
Thesis Committee:
  • Unknown, Unknown
Defense Date:24 December 1969
Record Number:CaltechETD:etd-11142005-111117
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-11142005-111117
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4550
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:14 Nov 2005
Last Modified:26 Dec 2012 03:09

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