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Local Drag Law for Suspensions from Particle-Scale Simulations

Author

Listed:
  • B. Wachmann

    (Institute for Computer Applications I, Physics on High Performance Computers, University of Stuttgart, 70569 Stuttgart, Germany)

  • S. Schwarzer

    (Institute for Computer Applications I, Physics on High Performance Computers, University of Stuttgart, 70569 Stuttgart, Germany)

  • K. Höfler

    (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 forceflon particles as a function of averaged local properties, most notably, the mean difference velocity$\delta {\bar v}$of particles and fluid and the local volume fractionΦl. The subscriptlshall indicate the dependence of these quantities on the sizelof the averaging cell. We studyflby 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 PeskinJ. Comp. Phys.79, 50 (1988)]. We find a relation similar to the law ofRichardson & Zaki,$\delta{\bar v} \sim (1 - \Phi_l)^{3.7}$, which relates the local phase difference velocity to the local volume fraction of the particles.

Suggested Citation

  • B. Wachmann & S. Schwarzer & K. Höfler, 1998. "Local Drag Law for Suspensions from Particle-Scale Simulations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1361-1371.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:08:n:s0129183198001230
    DOI: 10.1142/S0129183198001230
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