Data di Pubblicazione:
2002
Citazione:
Shallow viscoplastic flow on an inclined plane / N.J. Balmforth, R.V. Craster, R. Sassi. - In: JOURNAL OF FLUID MECHANICS. - ISSN 0022-1120. - 470(2002), pp. 1-29.
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 behavior of measures of the dome's dimensions.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
bingham fluid; yield stress; slowLOW; CHANNEL
Elenco autori:
N.J. Balmforth, R.V. Craster, R. Sassi
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