Gravity-driven flow of Herschel–Bulkley fluid in a fracture and in a 2D porous medium. (16th May 2017)

• Record Type: Journal Article
• Authors: Di Federico, V.; Longo, S.; King, S. E.; Chiapponi, L.; Petrolo, D.; Ciriello, V.
• Is Part Of: Journal of fluid mechanics. Volume 821(2017)
• Page Start: 59
• Page End: 84
• Publication Date: 2017-05-16
• Subjects: gravity currents, -- Hele-Shaw flows, -- non-Newtonian flows; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2017.234
• Languages: English
• ISSNs: 0022-1120

Abstract

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 time $t$ ; an expansion technique is adopted for a generic injection rate that 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.