KFU. Card publication. Accumulation of a light nonaqueous phase liquid on a flat barrier baffling a descending groundwater flow

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ACCUMULATION OF A LIGHT NONAQUEOUS PHASE LIQUID ON A FLAT BARRIER BAFFLING A DESCENDING GROUNDWATER FLOW

Form of presentation

Articles in international journals and collections

Year of publication

2012

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Authors, employees of KFU

Obnosov Yuriy Viktorovich, author

Bibliographic description in the original language

Kacimov A.R., Obnosov Yu.V. Accumulation of a light nonaqueous phase liquid on a flat barrier baffling a descending groundwater flow. Proc. Royal Society London, A, 2012,468(2147), pp.3667-3684, DOI:10.1098/rspa.2012.0317

Annotation

The pioneering Zhukovskii (1891) solution for a steady 2D flow of an ideal heavy fluid with a nonlinear free boundary condition is extended to a Darcian flow of groundwater encumbered by an impermeable barrier. The stoss or/and lee sides of the barrier are covered by a macrovolume of a liquid contaminant. Explicit parametric equations of the sharp interface are obtained by inversion of the hodograph domain. Zhukovskii?s gas-finger shape is shown to be a particular case of our new class of free surfaces. For a cap of a light liquid, partially covering the roof, from the given cross-sectional area of the cap the affixes of the conformal mapping are found as a solution of a system of two nonlinear equations. The horizontal width and vertical height of the cap are determined. If the dimensionless incident velocity is higher than the density contrast then the interface (cap boundary) cusps at its apex. For a relatively small velocity the interface spreads to the vertexes of the barrier, t

Keywords

Analytic functions, free boundary problems, Lapalce's equation, seepage, refraction, hydraulic gradient, suffosion

The name of the journal

P ROY SOC A-MATH PHY

URL

http://DOI:10.1098/rspa.2012.0317

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=36386&p_lang=2

Resource files

File name	Size (MB)	Format
PRLS,2012.pdf	0,18	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Obnosov Yuriy Viktorovich	ru_RU
dc.date.accessioned	2012-01-01T00:00:00Z	ru_RU
dc.date.available	2012-01-01T00:00:00Z	ru_RU
dc.date.issued	2012	ru_RU
dc.identifier.citation	Kacimov A.R., Obnosov Yu.V. Accumulation of a light nonaqueous phase liquid on a flat barrier baffling a descending groundwater flow. Proc. Royal Society London, A, 2012,468(2147), pp.3667-3684, DOI:10.1098/rspa.2012.0317	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=36386&p_lang=2	ru_RU
dc.description.abstract	P ROY SOC A-MATH PHY	ru_RU
dc.description.abstract	The pioneering Zhukovskii (1891) solution for a steady 2D flow of an ideal heavy fluid with a nonlinear free boundary condition is extended to a Darcian flow of groundwater encumbered by an impermeable barrier. The stoss or/and lee sides of the barrier are covered by a macrovolume of a liquid contaminant. Explicit parametric equations of the sharp interface are obtained by inversion of the hodograph domain. Zhukovskii?s gas-finger shape is shown to be a particular case of our new class of free surfaces. For a cap of a light liquid, partially covering the roof, from the given cross-sectional area of the cap the affixes of the conformal mapping are found as a solution of a system of two nonlinear equations. The horizontal width and vertical height of the cap are determined. If the dimensionless incident velocity is higher than the density contrast then the interface (cap boundary) cusps at its apex. For a relatively small velocity the interface spreads to the vertexes of the barrier, t	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Analytic functions	ru_RU
dc.subject	free boundary problems	ru_RU
dc.subject	Lapalce's equation	ru_RU
dc.subject	seepage	ru_RU
dc.subject	refraction	ru_RU
dc.subject	hydraulic gradient	ru_RU
dc.subject	suffosion	ru_RU
dc.title	Accumulation of a light nonaqueous phase liquid on a flat barrier baffling a descending groundwater flow	ru_RU
dc.type	Articles in international journals and collections	ru_RU