Viscous flow around three-dimensional macroscopic cavities in a granular material

Viscous flow around spherical macroscopic cavities in a granular material is investigated. The Stokes equation inside and the Darcy–Brinkman equation outside the cavities are considered. In particular, the interaction of two equally sized cavities positioned in tandem is examined in detail, where th...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 931
Main Authors Sano, Osamu, Karmakar, Timir, Raja Sekhar, G.P.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 25.01.2022
Subjects
Cavities
Civil engineering
Cliffs
Granular materials
Groundwater
Holes
JFM Papers
Landslides
River banks
Riverbanks
Three dimensional flow
Velocity
Viscous flow
Waterways
avalanches
hydraulic control
general fluid mechanics
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Summary:Viscous flow around spherical macroscopic cavities in a granular material is investigated. The Stokes equation inside and the Darcy–Brinkman equation outside the cavities are considered. In particular, the interaction of two equally sized cavities positioned in tandem is examined in detail, where the asymptotic effect of the other cavity is taken into account. The present analysis gives a reasonable estimate on the volume flow into the cavity and the local enhancement of stresses. This is applicable to predict the microscale waterway formation in that material, onset of landslides, collapse of cliffs and river banks, etc.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2021.947