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Experiments on the pressure drop created by a sphere settling in a viscous liquid

Published online by Cambridge University Press:  28 March 2006

Irwin Pliskin  and
Howard Brenner
Irwin Pliskin
Affiliation:
Department of Chemical Engineering, New York University
Howard Brenner
Affiliation:
Department of Chemical Engineering, New York University
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Abstract

Experimental measurements were made of the difference in pressure at large distances on either side of a spherical particle settling slowly along the axis of a long circular tube filled with viscous liquid. At low particle Reynolds numbers and for small sphere-cylinder diameter ratios, it was found that the product of the pressure difference and the cross-sectional area of the tube is equal to twice the drag on the particle, in accord with theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 17 , Issue 1 , September 1963 , pp. 89 - 96
Copyright
© 1963 Cambridge University Press

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References

Brenner, H. & Happel, J. 1958 J. Fluid Mech. 4, 195.
Brenner, H. 1959 J. Fluid Mech. 6, 542.
Brenner, H. 1962 Chem. Engng Sci. 17, 435.
Haberman, W. L. & Sayre, R. M. 1958 Motion of rigid and fluid spheres in stationary and moving liquids inside cylindrical tubes. David Taylor Model Basin Report, no. 1143.Google Scholar
Pliskin, I. 1962 Pressure drop due to the slow settling of a sphere in a cylinder containing a viscous fluid. M.Ch.E. thesis, New York University.