Research Article
Jun 1969
Validity of Stokes Theory for Accelerating Spheres
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VIEW THE REPLYAuthors: Lyle F. Mockros, M.ASCE, and Robert Y.S. LaiAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 95, Issue 3
Abstract
Measured displacement-time relations for spheres gravitationally accelerating from rest through viscous fluids are compared with the displacement-time relations predicted by the Stokes flow solution. The Stokes flow solution, consisting of a viscous drag, an added mass effect, and a history-of-the-motion integral, agrees with experimental values over a range that is larger than expected. The total dimensionless distance for which the theoretical and measured values agree depends on the ratio of sphere density to fluid density. The instantaneous Reynolds number at the point of departure between measurements and theory depends on the Stokes theory terminal Reynolds number. For the experiments reported, the theory is valid to points for which the instantaneous Reynolds number is as high as 10,000.
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Published In
Journal of the Engineering Mechanics Division
Volume 95 • Issue 3 • June 1969
Pages: 629 - 640
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Jun 1969
Published online: Feb 3, 2021
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Lyle F. Mockros, M.ASCE
Assoc. Prof., Dept. Civ. Engrg., Northwestern Univ., Evanston, Ill.
Robert Y.S. Lai
Research Asst., Dept. Civ. Engrg., Northwestern Univ., Evanston, Ill.
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