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.
Di Federico, V., Longo, S., King, S., Chiapponi, L., Petrolo, D., Ciriello, V. (2017). Gravity-driven flow of Herschel-Bulkley fluid in a fracture and in a 2D porous medium. JOURNAL OF FLUID MECHANICS, 821, 59-84 [10.1017/jfm.2017.234].
Gravity-driven flow of Herschel-Bulkley fluid in a fracture and in a 2D porous medium
DI FEDERICO, VITTORIO;CIRIELLO, VALENTINA
2017
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
