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Title: A Stokes-Brinkman model of the fluid flow in a periodic cell with a porous body using the boundary element method
Authors: Mardanov, R.F.
Zaripov, S.K.
Sharafutdinov, V.F.
Dunnett, Sarah J.
Keywords: Porous body
Stokes flow
Brinkman equation
Boundary element method
Issue Date: 2017
Publisher: © Elsevier
Citation: MARDANOV, R.F. ... et al, 2017. A Stokes-Brinkman model of the fluid flow in a periodic cell with a porous body using the boundary element method. Engineering Analysis with Boundary Elements, 88, pp. 54–63.
Abstract: The problem of viscous incompressible flow in a periodic cell with a porous body is solved. The Stokes flow model is adopted to describe the flow outside the body and the Brinkman equation is applied to find the filtration velocity field inside the porous domain. The conditions on the boundary between the free fluid and the porous medium for the porous body of arbitrary shape are obtained. The boundary value problem for the joint solution of the biharmonic and Brinkman equations for the stream functions outside and inside the porous body are then solved using a boundary element method. Good agreement of the numerical and analytical models for the Kuwabara circular cell model is shown for the fluid flow through a porous circular cylinder. The fluid flow past a circular, square, triangular cylinders and a circular body of uneven surface (an idealized model of a viral capsid) in a rectangular periodic cell are calculated. Comparison of the results obtained with the numerical solution from a CFD ANSYS/FLUENT model shows good accuracy of the developed mathematical model.
Description: This paper is closed access until 29th December 2018.
Sponsor: The work was performed in the frameworks of the Russian Government Program of Competitive Growth at Kazan Federal University and supported by the Russian Foundation for Basic Research (Grants no. 15-01-06135, 16-51-10024).
Version: Accepted for publication
DOI: 10.1016/j.enganabound.2017.12.006
URI: https://dspace.lboro.ac.uk/2134/27937
Publisher Link: https://doi.org/10.1016/j.enganabound.2017.12.006
ISSN: 0955-7997
Appears in Collections:Closed Access (Aeronautical and Automotive Engineering)

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