Brinkman screening and the covariance of the fluid velocity in fixed beds

Donald L. Koch, Reghan J. Hill, Ashok S. Sangani

Research output: Contribution to journalReview articlepeer-review

23 Scopus citations

Abstract

The phenomenon of Brinkman screening, whereby the fluid velocity disturbance produced by each particle in a fixed bed is attenuated by the forces that the fluid exerts on surrounding particles, plays a crucial role in limiting the range of velocity correlations in porous media and fixed beds. Koch and Brady [J. Fluid Mech. 154, 399 (1985)] showed theoretically that Brinkman screening leads to a finite hydrodynamic diffusion coefficient for fluid phase tracers in dilute fixed beds. In this Letter, we present the results of two simulation techniques (lattice-Boltzmann method and a multipole method) confirming the screening of the fluid velocity covariance that underlies the Koch and Brady theory.

Original languageEnglish (US)
Pages (from-to)3035-3037
Number of pages3
JournalPhysics of Fluids
Volume10
Issue number12
DOIs
StatePublished - Jan 1 1998

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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