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Two-dimensional Stokes flows in porous medium composed of a large number of circular inclusions

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dc.contributor.author Mardanov R.
dc.contributor.author Zaripov S.
dc.contributor.author Maklakov D.
dc.date.accessioned 2021-02-25T20:35:51Z
dc.date.available 2021-02-25T20:35:51Z
dc.date.issued 2020
dc.identifier.issn 0955-7997
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/161938
dc.description.abstract © 2019 Elsevier Ltd A new approximate approach to solve the two-dimensional boundary-value problems for the Stokes flows in a porous medium composed of a set of circular inclusions is proposed. The idea of the approach, based on the boundary element method (BEM), lies in Fourier series representations of unknown functions on the surfaces of inclusions. It is shown that for small volume concentrations of inclusions, a good accuracy is achieved by taking into account only the first three terms in the Fourier decomposition. Simultaneously, the total number of unknowns, which is equal to the product of the number of inclusions and that of unknowns on every inclusion, is reduced dramatically in comparison with the traditional BEM. The approach is tested by investigating the flow around a circular cylinder in a rectangular periodic cell, the flow in a porous medium with a large number of uniformly or randomly located inclusions. To demonstrate the capacity of the approach, we have calculated the Stokes flows in the porous medium which is modelled by locating 5000 inclusions of two different radii. It is shown that the method can also be used to estimate the properties of the fluid flows in highly porous media formed by non-circular inclusions.
dc.relation.ispartofseries Engineering Analysis with Boundary Elements
dc.subject Boundary element method
dc.subject Brinkman equation
dc.subject Permeability
dc.subject Porous medium
dc.subject Stokes flow
dc.title Two-dimensional Stokes flows in porous medium composed of a large number of circular inclusions
dc.type Article
dc.relation.ispartofseries-volume 113
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 204
dc.source.id SCOPUS09557997-2020-113-SID85078171724


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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