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Rolling motion of a sphere on a plane boundary in oscillatory flow

Published online by Cambridge University Press:  11 April 2006

C. Samuel Martin ,
M. Padmanabhan  and
C. D. Ponce-Campos
C. Samuel Martin
Affiliation:
School of Civil Engineering, Georgia Institute of Technology, Atlanta
M. Padmanabhan
Affiliation:
School of Civil Engineering, Georgia Institute of Technology, Atlanta
C. D. Ponce-Campos
Affiliation:
University of Michigan, Ann Arbor
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Abstract

The rolling motion of a sphere on a smooth plane boundary in a simple-harmonic water motion has been analytically and experimentally investigated. For spheres having specific gravities ranging from 0·09 to 15·18 the sphere motion was found to be sinusoidal for both low and high values of the period parameter defined by Keulegan & Carpenter. The knowledge of the sphere motion, and hence the resultant force, allowed the determination of inertia and drag coefficients from Fourier-averaging techniques. Experiments in the inertial range yielded an added-mass coefficient of 1·2, compared with 0·67 from inviscid theory for translating spheres. For values of the period parameter greater than 30 the drag coefficient is reported to be approximately 0·74.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 4 , 25 August 1976 , pp. 653 - 674
Copyright
© 1976 Cambridge University Press

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