Non-linear oscillations of a spherical particle in a rotating fluid

The motion of a spherical particle contained within a rotating fluid is analysed using equations of classical mechanics. Conditions are established under which the second order differential system simplifies to the well known Svedberg equation which describes the radial motion in centrifugation theo...

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Bibliographic Details
Published in:International journal of non-linear mechanics 1985, Vol.20 (4), p.261-271
Main Author: Beckett, P.M.
Format: Article
Language:English
Subjects:
dynamics
Exact sciences and technology
Fluid dynamics
fluid mechanics
Fundamental areas of phenomenology (including applications)
Nonhomogeneous flows
numerical analysis
Physics
rotational flow
spheres
Citations: Items that this one cites
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Description
Summary:The motion of a spherical particle contained within a rotating fluid is analysed using equations of classical mechanics. Conditions are established under which the second order differential system simplifies to the well known Svedberg equation which describes the radial motion in centrifugation theory. The complete particle trajectories are obtained by solving the second order system numerically and approximations to these are derived using perturbation methods.
ISSN:0020-7462
1878-5638
DOI:10.1016/0020-7462(85)90034-4