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Cited by 272

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Lattice Boltzmann methods for modeling microscale flow in fibrous porous media

Spaid, Michael A. A., Phelan, Frederick R.·1997·Physics of Fluids

Abstract

A lattice Boltzmann description of fluid flow in heterogeneous porous media is presented which is intended for modeling flow processes which occur in liquid composite molding applications. The lattice Boltzmann method is equivalent to solving a hybrid method of the Stokes and Brinkman equations, with the Brinkman equation being implemented to model flow through porous structures, while the Stokes equation is applied to the open regions outside the porous structures. The Brinkman equation is recovered through a modification of the particle equilibrium distribution function, which reduces the magnitude of momentum at specified lattice sites, while leaving the direction of momentum unchanged. As a test of the new lattice Boltzmann model, steady transverse flow (saturated) through a square array of porous cylinders of elliptical cross section is investigated. Cell permeabilities obtained from the lattice Boltzmann simulations are in excellent agreement with a lubrication model, validating the lattice Boltzmann formulation of the Stokes and Brinkman equations.

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Crossref · 10.1063/1.869392

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Metadata

Authors
Spaid, M. A. A., & Phelan, F. R.
Venue
Physics of Fluids
Published
1997-09-01
Volume
9
Issue
9
Pages
2468-2474
ISSN
  • 1070-6631 (ISSN-L)
  • 1089-7666
OpenAlex
W1967838332
Cited by
272
References
15
FWCI
2.91
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Lattice Boltzmann methods for modeling microscale flow in fibrous porous media. https://app.cochat.ai/papers/10.1063/1.869392
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Spaid, M. A. A., & Phelan, F. R. (1997). Lattice Boltzmann methods for modeling microscale flow in fibrous porous media. Physics of Fluids. https://doi.org/10.1063/1.869392

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.