One-dimensional model of two-phase fluid displacement in a slot with permeable walls

S. V. Golovin, M. Yu Kazakova

Research output: Contribution to journalArticlepeer-review

Abstract

A one-dimensional model is proposed for transportation of a two-phase fluid (sandcontaining fluid and pure fluid) in the Hele-Shaw cell with permeable walls through which the pure fluid can leak off, causing the growth of the sand concentration. The model describes the process of pure fluid displacement with the emergence of the Saffman–Taylor instability and extends Koval’s model to the case of sand concentration variation owing to pure fluid outflow through the cell walls. The Riemann problem is analyzed. New flow configurations, which are not predicted by Koval’s model, are discovered.

Original languageEnglish
Pages (from-to)17-30
Number of pages14
JournalJournal of Applied Mechanics and Technical Physics
Volume58
Issue number1
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • admixture transportation
  • Hele-Shaw cell with permeable walls
  • Saffman–Taylor instability
  • two-phase fluid

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