메뉴 건너뛰기




Volumn 9, Issue 6, 1997, Pages 1562-1572

A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media

Author keywords

[No Author keywords available]

Indexed keywords

MEMBRANES; MODELLING-MATHEMATICAL; PERMEABILITY;

EID: 0030833425     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869278     Document Type: Article
Times cited : (164)

References (43)
  • 1
    • 0023033970 scopus 로고
    • Flow in porous media I: A theoretical derivation of Darcy's law
    • S. Whitaker, "Flow in porous media I: A theoretical derivation of Darcy's law," Trans. Porous Media 1, 3 (1986).
    • (1986) Trans. Porous Media , vol.1 , pp. 3
    • Whitaker, S.1
  • 2
    • 22044456743 scopus 로고
    • The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders
    • D. A. Edwards, M. Shapiro, P. Bar-Yoseph, and M. Shapira, "The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders," Phys. Fluids A 2, 45 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 45
    • Edwards, D.A.1    Shapiro, M.2    Bar-Yoseph, P.3    Shapira, M.4
  • 3
    • 0023433628 scopus 로고
    • Review article: Flow through interstitium and other fibrous matrices
    • J. R. Levick, "Review article: Flow through interstitium and other fibrous matrices," Q. J. Exp. Phys. 72, 409 (1987).
    • (1987) Q. J. Exp. Phys. , vol.72 , pp. 409
    • Levick, J.R.1
  • 4
    • 0028851629 scopus 로고
    • Glucose-sensitive membrane coated porous filters for control of hydraulic permeability and insulin delivery from a pressurized reservoir
    • S. Carier, T. A. Horbett, and B. D. Ratner, "Glucose-sensitive membrane coated porous filters for control of hydraulic permeability and insulin delivery from a pressurized reservoir," J. Memb. Sci. 106, 17 (1995).
    • (1995) J. Memb. Sci. , vol.106 , pp. 17
    • Carier, S.1    Horbett, T.A.2    Ratner, B.D.3
  • 5
    • 0028496920 scopus 로고
    • Realistic modelling of the behaviour of fibrous filters through consideration of filter structure
    • E. Schweers and F. Loffler, "Realistic modelling of the behaviour of fibrous filters through consideration of filter structure," Powder Technol. 80, 191 (1994).
    • (1994) Powder Technol. , vol.80 , pp. 191
    • Schweers, E.1    Loffler, F.2
  • 6
    • 84989069027 scopus 로고
    • Resin flow through fiber beds during composite manufacturing processes. Part I: Review of Newtonian flow through fiber beds
    • L. Skartsis, J. L. Kardos, and B. Khomami, "Resin flow through fiber beds during composite manufacturing processes. Part I: Review of Newtonian flow through fiber beds," Polym. Eng. Sci. 32, 221 (1992).
    • (1992) Polym. Eng. Sci. , vol.32 , pp. 221
    • Skartsis, L.1    Kardos, J.L.2    Khomami, B.3
  • 7
    • 84886764942 scopus 로고
    • On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
    • H. Hasimoto, "On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres," J. Fluid Mech. 5, 317 (1959).
    • (1959) J. Fluid Mech. , vol.5 , pp. 317
    • Hasimoto, H.1
  • 8
    • 0020148179 scopus 로고
    • Slow flow past periodic arrays of cylinders with application to heat transfer
    • A. S. Sangani and A. Acrivos, "Slow flow past periodic arrays of cylinders with application to heat transfer," Int. J. Multiphase Flow 8, 193 (1982).
    • (1982) Int. J. Multiphase Flow , vol.8 , pp. 193
    • Sangani, A.S.1    Acrivos, A.2
  • 9
    • 0001292503 scopus 로고
    • Transport processes in random arrays of cylinders. II. Viscous flow
    • A. S. Sangani and C. Yao, "Transport processes in random arrays of cylinders. II. Viscous flow," Phys. Fluids 31, 2435 (1988).
    • (1988) Phys. Fluids , vol.31 , pp. 2435
    • Sangani, A.S.1    Yao, C.2
  • 10
    • 0021219457 scopus 로고
    • Laminar viscous flow through regular arrays of parallel solid cylinders
    • J. E. Drummond and M. I. Tahir, "Laminar viscous flow through regular arrays of parallel solid cylinders," Int. J. Multiphase Flow 10, 515 (1983).
    • (1983) Int. J. Multiphase Flow , vol.10 , pp. 515
    • Drummond, J.E.1    Tahir, M.I.2
  • 11
    • 0025500899 scopus 로고
    • Hindered transport in fibrous membranes and gels: Effect of solute size and fiber configuration
    • R. J. Phillips, W. M. Deen, and J. F. Brady, "Hindered transport in fibrous membranes and gels: Effect of solute size and fiber configuration," J. Colloid. Interface Sci. 139, 363 (1990).
    • (1990) J. Colloid. Interface Sci. , vol.139 , pp. 363
    • Phillips, R.J.1    Deen, W.M.2    Brady, J.F.3
  • 12
    • 0001309767 scopus 로고
    • Model for predicting pressure drop and filtration efficiency in fibrous media
    • L. Spielman and S. L. Goren, "Model for predicting pressure drop and filtration efficiency in fibrous media," Environ. Sci. Technol. 2, 279 (1968).
    • (1968) Environ. Sci. Technol. , vol.2 , pp. 279
    • Spielman, L.1    Goren, S.L.2
  • 13
    • 34250582623 scopus 로고
    • A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
    • H. C. Brinkman, "A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles," Appl. Sci. Res. A 1, 27 (1947).
    • (1947) Appl. Sci. Res. A , vol.1 , pp. 27
    • Brinkman, H.C.1
  • 14
    • 0022736108 scopus 로고
    • The permeability of fibrous media
    • G. W. Jackson and D. F. James, "The permeability of fibrous media," Can. J. Chem. Eng. 64, 364 (1986).
    • (1986) Can. J. Chem. Eng. , vol.64 , pp. 364
    • Jackson, G.W.1    James, D.F.2
  • 15
    • 0019986210 scopus 로고
    • The hydrodynamic resistance of hyaluronic acid and its contribution to tissue permeability
    • G. W. Jackson and D. F. James, "The hydrodynamic resistance of hyaluronic acid and its contribution to tissue permeability," Biorheology 19, 317 (1982).
    • (1982) Biorheology , vol.19 , pp. 317
    • Jackson, G.W.1    James, D.F.2
  • 16
    • 0030072054 scopus 로고    scopus 로고
    • Permeability of three-dimensional models of fibrous porous media
    • J. J. L. Higdon and G. D. Ford, "Permeability of three-dimensional models of fibrous porous media," J. Fluid Mech. 308, 341 (1996).
    • (1996) J. Fluid Mech. , vol.308 , pp. 341
    • Higdon, J.J.L.1    Ford, G.D.2
  • 17
    • 0026153921 scopus 로고
    • Viscous flow in a channel with periodic cross-bridging fibres: Exact solutions and Brinkman approximation
    • R. Tsay and S. Weinbaum, "Viscous flow in a channel with periodic cross-bridging fibres: Exact solutions and Brinkman approximation," J. Fluid Mech. 226, 125 (1991).
    • (1991) J. Fluid Mech. , vol.226 , pp. 125
    • Tsay, R.1    Weinbaum, S.2
  • 18
    • 77952784530 scopus 로고
    • The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers
    • S. Kuwabara, "The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers," J. Phys. Soc. Jpn. 14, 527 (1959).
    • (1959) J. Phys. Soc. Jpn. , vol.14 , pp. 527
    • Kuwabara, S.1
  • 19
    • 0029373654 scopus 로고
    • A spectral boundary element approach to three dimensional Stokes flow
    • G. P. Muldowney and J. J. L. Higdon, "A spectral boundary element approach to three dimensional Stokes flow," J. Fluid Mech. 298, 167 (1995).
    • (1995) J. Fluid Mech. , vol.298 , pp. 167
    • Muldowney, G.P.1    Higdon, J.J.L.2
  • 20
    • 84931886633 scopus 로고
    • Slender-body theory for particles of arbitrary cross-section in Stokes flow
    • G. K. Batchelor, "Slender-body theory for particles of arbitrary cross-section in Stokes flow," J. Fluid Mech. 44, 419 (1970).
    • (1970) J. Fluid Mech. , vol.44 , pp. 419
    • Batchelor, G.K.1
  • 21
    • 84958431482 scopus 로고
    • The motion of long slender bodies in a viscous fluid. Part 1. General theory
    • R. G. Cox, "The motion of long slender bodies in a viscous fluid. Part 1. General theory," J. Fluid Mech. 44, 791 (1970).
    • (1970) J. Fluid Mech. , vol.44 , pp. 791
    • Cox, R.G.1
  • 22
    • 0019035258 scopus 로고
    • An improved slender-body theory for Stokes flow
    • R. E. Johnson, "An improved slender-body theory for Stokes flow," J. Fluid mech. 99, 411 (1970).
    • (1970) J. Fluid Mech. , vol.99 , pp. 411
    • Johnson, R.E.1
  • 23
    • 0028533232 scopus 로고
    • A fiber matrix model for the growth of macromolecular leakage spots in the arterial intima
    • Y. Huang, D. Rumschitzki, S. Chien, and S. Weinbaum, "A fiber matrix model for the growth of macromolecular leakage spots in the arterial intima," Trans. ASME 116, 430 (1994).
    • (1994) Trans. ASME , vol.116 , pp. 430
    • Huang, Y.1    Rumschitzki, D.2    Chien, S.3    Weinbaum, S.4
  • 24
    • 0026207304 scopus 로고
    • Flow through mixed fibrous porous materials
    • C. R. Ethier, "Flow through mixed fibrous porous materials," AIChE J. 37, 1227 (1991).
    • (1991) AIChE J. , vol.37 , pp. 1227
    • Ethier, C.R.1
  • 25
    • 36549103051 scopus 로고
    • Ewald sum of the Rotne-Prager tensor
    • C. W. J. Beenakker, "Ewald sum of the Rotne-Prager tensor," J. Chem. Phys. 85, 1581 (1986).
    • (1986) J. Chem. Phys. , vol.85 , pp. 1581
    • Beenakker, C.W.J.1
  • 26
    • 84972343603 scopus 로고
    • Dynamic simulation of hydrodynamically interacting suspensions
    • J. F. Brady, R. J. Phillips, J. C. Lester, and G. Bossis, "Dynamic simulation of hydrodynamically interacting suspensions," J. Fluid Mech. 195, 257 (1988).
    • (1988) J. Fluid Mech. , vol.195 , pp. 257
    • Brady, J.F.1    Phillips, R.J.2    Lester, J.C.3    Bossis, G.4
  • 28
    • 0019999150 scopus 로고
    • Stokes flow through periodic arrays of spheres
    • A. A. Zick and G. M. Homsy, "Stokes flow through periodic arrays of spheres," J. Fluid Mech. 115, 13 (1982).
    • (1982) J. Fluid Mech. , vol.115 , pp. 13
    • Zick, A.A.1    Homsy, G.M.2
  • 29
    • 0029672731 scopus 로고    scopus 로고
    • Hindered diffusion of spherical macromolecules through dilute fibrous media
    • D. S. Clague and R. J. Phillips, "Hindered diffusion of spherical macromolecules through dilute fibrous media," Phys. Fluids 8, 1720 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 1720
    • Clague, D.S.1    Phillips, R.J.2
  • 30
    • 0000713764 scopus 로고
    • Random paths through convex bodies
    • R. Coleman, "Random paths through convex bodies," J. Appl. Prob. 6, 430 (1969).
    • (1969) J. Appl. Prob. , vol.6 , pp. 430
    • Coleman, R.1
  • 31
    • 0026617172 scopus 로고
    • Computation of transition and molecular difrusivities in fibrous media
    • R. R. Melkote and K. F. Jensen, "Computation of transition and molecular difrusivities in fibrous media," AIChE J. 38, 56 (1992).
    • (1992) AIChE J. , vol.38 , pp. 56
    • Melkote, R.R.1    Jensen, K.F.2
  • 32
    • 0024305090 scopus 로고
    • Small-angle X-ray scattering characterization of agarose sols and gels
    • M. Djabrourov, A. H. Clark, D. W. Rowlands, and S. B. Ross-Murphy, "Small-angle X-ray scattering characterization of agarose sols and gels," Macromolecules 22, 180 (1989).
    • (1989) Macromolecules , vol.22 , pp. 180
    • Djabrourov, M.1    Clark, A.H.2    Rowlands, D.W.3    Ross-Murphy, S.B.4
  • 33
    • 0016387588 scopus 로고
    • Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects
    • I. D. Howells, "Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects," J. Fluid Mech. 64, 449 (1974).
    • (1974) J. Fluid Mech. , vol.64 , pp. 449
    • Howells, I.D.1
  • 34
    • 0022171239 scopus 로고
    • A singularity method for calculating hydrodynamic forces and particle velocities in low-Reynolds-number flows
    • T. Dabros, "A singularity method for calculating hydrodynamic forces and particle velocities in low-Reynolds-number flows," J. Fluid Mech. 156, 1 (1985).
    • (1985) J. Fluid Mech. , vol.156 , pp. 1
    • Dabros, T.1
  • 37
    • 0025492037 scopus 로고
    • Hydrodynamics of particle motion in sinusoidal pores via a singularity method
    • L. C. Nitsche and H. Brenner, "Hydrodynamics of particle motion in sinusoidal pores via a singularity method," AIChE J. 36, 1403 (1990).
    • (1990) AIChE J. , vol.36 , pp. 1403
    • Nitsche, L.C.1    Brenner, H.2
  • 40
    • 84984088973 scopus 로고
    • Longitudinal laminar flow between cylinders arranged in a regular array
    • E. M. Sparrow and A. L. Loffler, "Longitudinal laminar flow between cylinders arranged in a regular array," AIChE J. 5, 325 (1959).
    • (1959) AIChE J. , vol.5 , pp. 325
    • Sparrow, E.M.1    Loffler, A.L.2
  • 41
    • 0027789816 scopus 로고
    • Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions
    • I. L. Claeys and J. F. Brady, "Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions," J. Fluid Mech. 251, 443 (1993).
    • (1993) J. Fluid Mech. , vol.251 , pp. 443
    • Claeys, I.L.1    Brady, J.F.2
  • 42
    • 0030131294 scopus 로고    scopus 로고
    • Hydraulic permeability of agarose gels
    • E. M. Johnson and W. M. Deen, "Hydraulic permeability of agarose gels," AIChE J. 42, 1220 (1996).
    • (1996) AIChE J. , vol.42 , pp. 1220
    • Johnson, E.M.1    Deen, W.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.