Faxen-like relations for a nonuniform suspension


Ichiki, Kengo and Prosperetti, Andrea (2004) Faxen-like relations for a nonuniform suspension. Physics of Fluids , 16 (7). pp. 2483-2496. ISSN 1070-6631

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Abstract:The first part of the paper shows how ensemble averages that correspond to a prescribed statistically nonuniform spatial distribution of particles can be evaluated starting from a statistically uniform ensemble. The method consists of attributing to each realization of the uniform ensemble a suitable weight which is explicitly constructed. As an application of this general procedure, in the second part of the paper, the behavior of particles subjected to force or torque in a statistically nonuniform suspension and the behavior of a suspension subjected to a uniform shear are studied. In particular, it is shown how the average translational and angular velocities of the particles with respect to the mixture satisfy Faxén-like relations. Furthermore, it is pointed out that several quantities which vanish in an identical way in the case of a uniform suspension are nonzero in the presence of spatial nonuniformities.
Item Type:Article
Copyright:© 2004 American Institute of Physics
Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/47807
Official URL:https://doi.org/10.1063/1.1734951
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