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.
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.
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
The work was supported by the RFBR (grant N15-01-06135) and EPSRC (travel grant EP/M003841/1).