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Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method
journal contribution
posted on 2016-04-19, 13:12 authored by R.F. Mardanov, Sarah DunnettSarah Dunnett, S.K. ZaripovThe 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.
Funding
The work was supported by the RFBR (grant N15-01-06135) and EPSRC (travel grant EP/M003841/1).
History
School
- Aeronautical, Automotive, Chemical and Materials Engineering
Department
- Aeronautical and Automotive Engineering
Published in
Engineering Analysis with Boundary ElementsCitation
MARDANOV, R.F., DUNNETT, S.J. and ZARIPOV, S.K., 2016. Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method. Engineering Analysis with Boundary Elements, 68, pp. 54–62.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2016-03-24Publication date
2016Notes
This paper was accepted for publication in the journal Engineering Analysis with Boundary Elements and the definitive published version is available at http://dx.doi.org/10.1016/j.enganabound.2016.03.015ISSN
1873-197XPublisher version
Language
- en