The effect of microstructure on models for the flow of a Bingham fluid in porous media: One-dimensional flows

Sarah Nash, D A S Rees

Research output: Contribution to journalArticle

12 Citations (Scopus)
129 Downloads (Pure)

Abstract

The Buckingham-Reiner models for the one-dimensional flow of a Bingham fluid along a uniform pipe or channel are well-known, but are modified here to cover much more general one-dimensional configurations. These include
selections of channels with different widths, and five different probability
density functions describing distributions of channel widths. It is found that the manner in which breakthrough occurs at the threshold pressure gradient depends very strongly on the type of distribution of pores, and that a pseudo-threshold pressure gradient, which might be inferred from measurements of flow at relatively high pressure gradients, may be more than twice the magnitude of the true threshold gradient.
Original languageEnglish
Pages (from-to)1073-1092
Number of pages20
JournalTransport in Porous Media
Volume116
Early online date21 Jan 2017
DOIs
Publication statusPublished - Feb 2017

Keywords

  • Bingham fluid
  • Porous medium
  • distributions of channels
  • breakthrough

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