Loughborough University
Browse
Dunnett_por_cylinder_bem_rev1.pdf (670.36 kB)

Modeling of fluid flow in periodic cell with porous cylinder using a boundary element method

Download (670.36 kB)
journal contribution
posted on 2016-04-19, 13:12 authored by R.F. Mardanov, Sarah DunnettSarah Dunnett, S.K. Zaripov
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.

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 Elements

Citation

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

© Elsevier

Version

  • 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

2016-03-24

Publication date

2016

Notes

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.2016.03.015

ISSN

1873-197X

Language

  • en