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Virtual mass and drag in two-phase flow

Published online by Cambridge University Press:  26 April 2006

B. U. Felderhof
B. U. Felderhof
Affiliation:
Koninklijke/Shell Laboratorium Amsterdam, PO Box 3003, 1003 AA Amsterdam, The Netherlands Present address: Institut für Theoretische Physik A, RWTH Aachen, Templergraben 55, 5100 Aachen, Germany.
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Abstract

We study virtual mass and drag effects in a fluid suspension consisting of spherical particles immersed in an incompressible, nearly inviscid fluid. We derive average equations of motion for the fluid phase and the particle phase by the method of ensemble averaging. We show that the virtual mass and drag coefficients may be expressed exactly in terms of the dielectric constant of a corresponding dielectric suspension with the same distribution of particles. We make numerical predictions for the case of an equilibrium distribution of hard spheres.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 177 - 196
Copyright
© 1991 Cambridge University Press

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