Inertial capture in flow through porous media
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 re...
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Published in | The European physical journal. B, Condensed matter physics Vol. 64; no. 3-4; pp. 433 - 436 |
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Main Authors | , , , |
Format | Journal Article Conference Proceeding |
Language | English |
Published |
Berlin/Heidelberg
Springer-Verlag
01.08.2008
Springer EDP sciences |
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Abstract | 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. |
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AbstractList | 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. |
Author | Andrade, J. S. Herrmann, H. J. Vasconcelos, T. F. Araújo, A. D. |
Author_xml | – sequence: 1 givenname: J. S. surname: Andrade fullname: Andrade, J. S. email: soares@fisica.ufc.br organization: Departamento de Física, Universidade Federal do Ceará – sequence: 2 givenname: A. D. surname: Araújo fullname: Araújo, A. D. organization: Departamento de Física, Universidade Federal do Ceará – sequence: 3 givenname: T. F. surname: Vasconcelos fullname: Vasconcelos, T. F. organization: Departamento de Física, Universidade Federal do Ceará – sequence: 4 givenname: H. J. surname: Herrmann fullname: Herrmann, H. J. organization: Departamento de Física, Universidade Federal do Ceará |
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Cites_doi | 10.1103/PhysRevLett.97.138001 10.1063/1.868346 10.1146/annurev.fluid.33.1.619 10.1063/1.1359747 10.1017/S0022112072001806 10.1103/PhysRevE.53.R3028 10.1016/0021-8502(90)90163-R 10.1103/PhysRevE.51.5725 10.1017/S0022112001003810 |
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Keywords | 47.56.+r Flows through porous media 83.80.Hj Suspensions, dispersions, pastes, slurries, colloids 47.55.Kf Particle-laden flows 05.70.Jk Critical point phenomena Geometrical shape Disordered systems Filtering Particle motion Digital simulation Scaling laws Porous medium Inertia Two dimensional model Gravity Particle trapping |
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PublicationTitle | The European physical journal. B, Condensed matter physics |
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References | DullienF. A.Porous Media — Fluid Transport and Pore Structure1979New YorkAcademic SahimiM.Flow and Transport in Porous Media and Fractured Rock1995BostonVCH0849.76001 ComerJ.K.KleinstreuerC.KimC.S.J. Fluid Mech.200143555016256662001JFM...435...55C TienC.Granular Filtration of Aerosols and Hydrosols1989BostonButterworths KochD.L.HillR.J.Annu. Rev. Fluid Mech.20013361910.1146/annurev.fluid.33.1.6192001AnRFM..33..619K 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) AndradeJ.S.JrStreetD.A.ShinoharaT.ShibusaY.AraiY.Phys. Rev. E199551572510.1103/PhysRevE.51.57251995PhRvE..51.5725A AraujoA.D.AndradeJ.S.JrHerrmannH.J.Phys. Rev. Lett.20069713800110.1103/PhysRevLett.97.1380012006PhRvL..97m8001A BearJ.Dynamics of Fluids in Porous Materials1972New YorkElsevier MarshallH.SahraouiM.KavianyM.Phys. Fluids1993650710.1063/1.8683461994PhFl....6..507M TorquatoS.Random Heterogeneous Materials: Microstructure and Macroscopic Properties2001New YorkSpringer-Verlag PatankarS.V.Numerical Heat Transfer and Fluid Flow1980Washington DCHemisphere0521.76003 MorsiS.A.AlexanderA.J.J. Fluid Mech.1972551930244.7604410.1017/S00221120720018061972JFM....55..193M GhidagliaC.de ArcangelisL.HinchJ.GuazzelliE.Phys. Rev. E199653R302810.1103/PhysRevE.53.R30281996PhRvE..53.3028G LeeJ.KoplikJ.Phys. Fluids200113107610.1063/1.13597472001PhFl...13.1076L A.D. Araujo (79_CR11) 2006; 97 cr-split#-79_CR9.3 D.L. Koch (79_CR4) 2001; 33 J.K. Comer (79_CR14) 2001; 435 S.A. Morsi (79_CR15) 1972; 55 H. Marshall (79_CR8) 1993; 6 cr-split#-79_CR9.2 cr-split#-79_CR9.1 J.S. Andrade Jr (79_CR13) 1995; 51 M. Sahimi (79_CR3) 1995 S. Torquato (79_CR10) 2001 S.V. Patankar (79_CR12) 1980 C. Tien (79_CR5) 1989 F. A. Dullien (79_CR2) 1979 C. Ghidaglia (79_CR6) 1996; 53 J. Lee (79_CR7) 2001; 13 J. Bear (79_CR1) 1972 |
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SubjectTerms | Complex Systems Condensed Matter Physics Condensed matter: electronic structure, electrical, magnetic, and optical properties Domain effects, magnetization curves, and hysteresis Exact sciences and technology Fluid- and Aerodynamics Magnetic properties and materials Physics Physics and Astronomy Solid State Physics |
Title | Inertial capture in flow through porous media |
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