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

1983/04/01 by Martin R. Maxey, Martin Maxey, James J. Riley · 35 citations
Engineering · #Particle Dynamics in Fluid Flows #Fluid Dynamics and Turbulent Flows #Granular flow and fluidized beds

paper · doi:10.1063/1.864230

Abstract

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.

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