Journal
JOURNAL OF FLUID MECHANICS
Volume 821, Issue -, Pages 59-84Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2017.234
Keywords
gravity currents; Hele-Shaw flows; non-Newtonian flows
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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.
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