Author:
BALMFORTH N. J.,CRASTER R. V.,SASSI R.
Abstract
Evolving viscoplastic flows upon slopes are an important idealization of many flows
in a variety of geophysical situations where yield stress is thought to play a role. For
such models, asymptotic expansions suitable for slowly moving shallow fluid layers
(lubrication theory) reduce the governing equations to a simpler problem in terms of
the fluid thickness. We consider the version of the theory for fluids described by the
Herschel–Bulkley constitutive law, and provide a variety of solutions to the reduced
equation, both numerical and analytical. For extruded inclined domes, we derive the
characteristic temporal behaviour of measures of the dome's dimensions.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
72 articles.
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