Gravity-driven flow of Herschel--Bulkley fluid in a fracture and in a 2D porous medium

V. Di Federico, S. Longo, Stuart King, L. Chiapponi, D. Petrolo, V. Ciriello

Research output: Contribution to journalArticlepeer-review

Abstract

New analytical models are introduced to describe the motion of a Herschel-Bulkley fluid slumping under gravity in a narrow fracture and in a porous medium. A useful self-similar solution can be derived for a fluid injection rate that scales as t; an expansion technique is adopted for a generic injection rate which is power-law in time. Experiments in a Hele-Shaw cell and in a narrow channel filled with glass ballotini confirm the theoretical model within the experimental uncertainty.
Original languageEnglish
Pages (from-to)59-84
Number of pages24
JournalJournal of Fluid Mechanics
Volume821
Early online date16 May 2017
DOIs
Publication statusPublished - Jun 2017

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