Inertial capture in flow through porous media
- 114 Downloads
We investigate through numerical calculation of non-Brownian particles transported by a fluid in a porous medium, the influence of geometry and inertial effects on the capture efficiency of the solid matrix. In the case of a periodic array of cylinders and under the action of gravity, our results reveal that δ ∼ St, where δ is the particle capture efficiency, and St is the Stokes number. In the absence of gravity, we observe a typical second order transition between non-trapping and trapping of particles that can be expressed as δ ∼ (St − St c ) α , with an exponent α ≈ 0.5, where St c is the critical Stokes number. We also perform simulations for flow through a random porous structure and confirm that its capture behavior is consistent with the simple periodic model.
PACS47.56.+r Flows through porous media 47.55.Kf Particle-laden flows 05.70.Jk Critical point phenomena 83.80.Hj Suspensions, dispersions, pastes, slurries, colloids
Unable to display preview. Download preview PDF.
- 1.J. Bear, Dynamics of Fluids in Porous Materials (Elsevier, New York, 1972)Google Scholar
- 2.F. A. Dullien, Porous Media — Fluid Transport and Pore Structure (Academic, New York, 1979)Google Scholar
- 5.C. Tien, Granular Filtration of Aerosols and Hydrosols (Butterworths, Boston, 1989)Google Scholar
- 9.L.M. Levin, Izdatel’stvo Academii Nauk SSSR (1961), Eng. Transl. Foreing Techn. Div. Doc. No. FTD-HT-23-1593-67; N.A. Fuchs, The Mechanics of Aerosols (Pergamon, New York, 1964); D.B. Ingham, L.T. Hildyard, M.L. Hildyard, J. Aerosol Sci. 21, 935 (1990)Google Scholar
- 10.S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties (Springer-Verlag, New York, 2001)Google Scholar
- 13.J.S. Andrade Jr, D.A. Street, T. Shinohara, Y. Shibusa, Y. Arai, Phys. Rev. E 51, 5725 (1995); H.E. Stanley, J.S. Andrade Jr, S. Havlin, H.A. Makse, B. Suki, Physica A 266, 5 (1999); J.S. Andrade Jr, U.M.S. Costa, M.P. Almeida, H.A. Makse, H.E. Stanley, Phys. Rev. Lett. 82, 5249 (1999)CrossRefADSGoogle Scholar