KFU. Card publication. Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method

KAZAN
FEDERAL UNIVERSITY

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MODELING OF FLUID FLOW IN PERIODIC CELL WITH POROUS CYLINDER USING A BOUNDARY ELEMENT METHOD

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Zaripov Shamil Khuzeevich, author

Mardanov Renat Faritovich, author

Other authors

Dunnett S. J., author

Bibliographic description in the original language

Mardanov R.F, Dunnett S.J, Zaripov S.K., Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method//Engineering Analysis with Boundary Elements. - 2016. - Vol.68, Is.. - P.54-62.

Annotation

The problem of viscous incompressible flow past a periodic array of porous cylinders (a model of flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the fluid flow problem. The Stokes flow model is then adopted to model the flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that use of analytical integration gives considerable advantage in computing time.

Keywords

porous cylinder, Stokes flow, Darcy model, boundary element method

The name of the journal

Engineering Analysis with Boundary Elements

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84963665641&partnerID=40&md5=aa7eee870f686c6d779a58e38785c076

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

https://repository.kpfu.ru/eng/?p_id=135772&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Zaripov Shamil Khuzeevich	ru_RU
dc.contributor.author	Mardanov Renat Faritovich	ru_RU
dc.contributor.author	Dunnett S. J.	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	Mardanov R.F, Dunnett S.J, Zaripov S.K., Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method//Engineering Analysis with Boundary Elements. - 2016. - Vol.68, Is.. - P.54-62.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=135772&p_lang=2	ru_RU
dc.description.abstract	Engineering Analysis with Boundary Elements	ru_RU
dc.description.abstract	The problem of viscous incompressible flow past a periodic array of porous cylinders (a model of flow in an aerosol filter) is solved. The approximate periodic cell model of Kuwabara is used to formulate the fluid flow problem. The Stokes flow model is then adopted to model the flow outside the cylinder and the Darcy law of drag is applied to find the filtration velocity field inside the porous cylinder. The boundary value problems for biharmonic and Laplace equations for stream functions outside and inside the porous cylinder are solved using a boundary elements method. A good agreement of numerical and analytical models is shown. The analytical formulas for the integrals in the expressions for the stream function, vorticity and Cartesian velocity components are obtained. It is shown that use of analytical integration gives considerable advantage in computing time.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	porous cylinder	ru_RU
dc.subject	Stokes flow	ru_RU
dc.subject	Darcy model	ru_RU
dc.subject	boundary element method	ru_RU
dc.title	Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method	ru_RU
dc.type	Articles in international journals and collections	ru_RU