Affiliation:
1. Institute for Computer Applications I, Physics on High Performance Computers, University of Stuttgart, 70569 Stuttgart, Germany
Abstract
Two-phase continuum descriptions of the dynamical behavior of particulate suspensions require, among others, the formulation of a "local drag law". Such a "law" specifies the mean force fl on particles as a function of averaged local properties, most notably, the mean difference velocity [Formula: see text] of particles and fluid and the local volume fraction Φl. The subscript l shall indicate the dependence of these quantities on the size l of the averaging cell. We study fl by direct numerical simulation, solving the incompressible Navier–Stokes equation on a fixed, regular grid on a scale much smaller than the particle diameter. The particle–fluid interaction is computed by a method similar to the one proposed in [Fogelson and Peskin J. Comp. Phys.79, 50 (1988)]. We find a relation similar to the law of Richardson & Zaki, [Formula: see text], which relates the local phase difference velocity to the local volume fraction of the particles.
Publisher
World Scientific Pub Co Pte Lt
Subject
Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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