KFU. Card publication. Free Surface Flow in a Microfluidic Corner and in an Unconfined Aquifer with Accretion: The Signorini and Saint-Venant Analytical Techniques Revisited

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FREE SURFACE FLOW IN A MICROFLUIDIC CORNER AND IN AN UNCONFINED AQUIFER WITH ACCRETION: THE SIGNORINI AND SAINT-VENANT ANALYTICAL TECHNIQUES REVISITED

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Kayumov Ilgiz Rifatovich, author

Bibliographic description in the original language

Kacimov, A.R., Maklakov, D.V., Kayumov, I.R. et al. Transp Porous Med (2016). doi:10.1007/s11242-016-0767-y

Annotation

Steady, laminar, fully developed flows of a Newtonian fluid driven by a constant pressure gradient in (1) a curvilinear constant cross section triangle bounded by two straight no-slip segments and a circular meniscus and (2) a wedge bounded by two rays and an adjacent film bulging near the corner are studied analytically by the theory of holomorphic functions and numerically by finite elements. The analytical solution of the first problem is obtained by reducing the Poisson equation for the longitudinal flow velocity to the Laplace equation, conformal mapping of the corresponding transformed physical domain onto an auxiliary half-plane and solving there the Signorini mixed boundary value problem (BVP). The numerical solution is obtained by meshing the circular sector and solving a system of linear equations ensuing from the Poisson equation. Comparisons are made with known solutions for flows in a rectangular conduit, circular annulus and Philip's circular duct with a no-shear sector.

Keywords

Viscous film, Meniscus, Poisson equation, Signorini formula, Zhukovsky?Chaplygin method, Zunker?s pendular water slug

The name of the journal

TRANSPORT POROUS MED

URL

http://link.springer.com/article/10.1007/s11242-016-0767-y

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

https://repository.kpfu.ru/eng/?p_id=140657&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kayumov Ilgiz Rifatovich	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Kacimov, A.R., Maklakov, D.V., Kayumov, I.R. et al. Transp Porous Med (2016). doi:10.1007/s11242-016-0767-y	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=140657&p_lang=2	ru_RU
dc.description.abstract	TRANSPORT POROUS MED	ru_RU
dc.description.abstract	Steady, laminar, fully developed flows of a Newtonian fluid driven by a constant pressure gradient in (1) a curvilinear constant cross section triangle bounded by two straight no-slip segments and a circular meniscus and (2) a wedge bounded by two rays and an adjacent film bulging near the corner are studied analytically by the theory of holomorphic functions and numerically by finite elements. The analytical solution of the first problem is obtained by reducing the Poisson equation for the longitudinal flow velocity to the Laplace equation, conformal mapping of the corresponding transformed physical domain onto an auxiliary half-plane and solving there the Signorini mixed boundary value problem (BVP). The numerical solution is obtained by meshing the circular sector and solving a system of linear equations ensuing from the Poisson equation. Comparisons are made with known solutions for flows in a rectangular conduit, circular annulus and Philip's circular duct with a no-shear sector.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Viscous film	ru_RU
dc.subject	Meniscus	ru_RU
dc.subject	Poisson equation	ru_RU
dc.subject	Signorini formula	ru_RU
dc.subject	Zhukovsky?Chaplygin method	ru_RU
dc.subject	Zunker?s pendular water slug	ru_RU
dc.title	Free Surface Flow in a Microfluidic Corner and in an Unconfined Aquifer with Accretion: The Signorini and Saint-Venant Analytical Techniques Revisited	ru_RU
dc.type	Articles in international journals and collections	ru_RU