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

DOI10.1017/jfm.2021.947OpenAlexW3215960155MaRDI QIDQ5014146

Timir Karmakar, G. P. Raja Sekhar, Osamu Sano

Publication date: 1 December 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2021.947

zbMATH Keywords

Stokes equationshydraulic controlDarcy-Brinkman equationavalanche modelcavity interactionmicroscale waterway formation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Granular flows (76T25)

Related Items

Viscous flow around three-dimensional macroscopic cavities in a granular material: asymptotic theory for two sufficiently distant spherical cavities of arbitrary configuration

Cites Work

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• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• Convection in Porous Media
• Shear Thickening of Concentrated Suspensions: Recent Developments and Relation to Other Phenomena
• Poiseuille flow in a fluid overlying a porous medium
• Collapse and growth of cavity regions in granular media due to viscous flow
• Collapse and merging of cavity regions in a granular material due to viscous flow
• Two-dimensional viscous flow in a granular material with a void of arbitrary shape
• Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects
• Hydromechanics of low-Reynolds-number flow. Part 1. Rotation of axisymmetric prolate bodies
• Hydromechanics of low-Reynolds-number flow. Part 2. Singularity method for Stokes flows
• Particle Segregation in Dense Granular Flows
• Computer simulation study of the effective viscosity in Brinkman’s equation
• Viscous flow and collapse of macroscopic cavities in a granular material in terms of a Darcylet
• Existence and uniqueness result for the problem of viscous flow in a granular material with a void
• Flows of Dense Granular Media
• Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification
• The drag on a cloud of spherical particles in low Reynolds number flow
• Slow flow through stationary random beds and suspensions of spheres
• Sedimentation in a dilute dispersion of spheres
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles