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Physics of Fluids / Volume 26 / Issue 4

Phys. Fluids 26, 883 (1983); http://dx.doi.org/10.1063/1.864230 (7 pages)

Equation of motion for a small rigid sphere in a nonuniform flow

Martin R. Maxey1 and James J. Riley2

1Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218
2Flow Research Company, Kent, Washington 98031

(Received 11 June 1982; accepted 22 November 1982)

The forces on a small rigid sphere in a nonuniform flow are considered from first prinicples in order to resolve the errors in Tchen’s equation and the subsequent modified versions that have since appeared. Forces from the undisturbed flow and the disturbance flow created by the presence of the sphere are treated separately. Proper account is taken of the effect of spatial variations of the undisturbed flow on both forces. In particular the appropriate Faxen correction for unsteady Stokes flow is derived and included as part of the consistent approximation for the equation of motion.

KEYWORDS and PACS

Keywords

equations of motion, spheres, fluid flow, forces, stokes law

PACS

  • 47.55.-t

    Multiphase and stratified flows

  • 47.27.T-

    Turbulent transport processes

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.864230

PUBLICATION DATA

ISSN

0031-9171 (print)  

    References

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