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Volumn 37, Issue 1, 1999, Pages 93-128

Analytical solutions for partitioned diffusion in laminates: I. Initial value problem with steady cauchy conditions

Author keywords

Alg ebraic; Analytical; Composite; Diffusion; Eigenfunction; Homogeneous; Laminate; Nonhomogeneous; Partitioning

Indexed keywords

BOUNDARY CONDITIONS; DIFFUSION IN SOLIDS; EIGENVALUES AND EIGENFUNCTIONS; IMPURITIES; INITIAL VALUE PROBLEMS; MASS TRANSFER;

EID: 0032741758     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006566125433     Document Type: Article
Times cited : (18)

References (31)
  • 2
    • 0023306856 scopus 로고
    • Direct comparison of kinetic and local equilibrium formulations for solute transport affected by surface reactions
    • Bahr, J. M. and Rubin, J.: 1987, Direct comparison of kinetic and local equilibrium formulations for solute transport affected by surface reactions, Water Resour. Res. 23, 438-452.
    • (1987) Water Resour. Res. , vol.23 , pp. 438-452
    • Bahr, J.M.1    Rubin, J.2
  • 4
    • 0017454245 scopus 로고
    • Convective-dispersive solute transport with a combined equilibrium and kinetic adsorption model
    • Cameron, D. R. and Klute, A.: 1977, Convective-dispersive solute transport with a combined equilibrium and kinetic adsorption model, Water Resour. Res. 13, 183-188.
    • (1977) Water Resour. Res. , vol.13 , pp. 183-188
    • Cameron, D.R.1    Klute, A.2
  • 6
    • 0020076112 scopus 로고
    • Partitioning of organic compounds in octanol-water systems
    • Chiou, C. R. and Schmedding, D. W.: 1982, Partitioning of organic compounds in octanol-water systems, Environ. Sci. Technol. 16, 4-10.
    • (1982) Environ. Sci. Technol. , vol.16 , pp. 4-10
    • Chiou, C.R.1    Schmedding, D.W.2
  • 7
    • 0017489826 scopus 로고
    • Partition coefficient and bioaccumulation of selected organic chemicals
    • Chiou, C. R., Freed, V. H., Schmedding, D. W. and Kohnert, R. L.: 1977, Partition coefficient and bioaccumulation of selected organic chemicals, Environ. Sci. Technol. 11, 475-477.
    • (1977) Environ. Sci. Technol. , vol.11 , pp. 475-477
    • Chiou, C.R.1    Freed, V.H.2    Schmedding, D.W.3    Kohnert, R.L.4
  • 8
    • 0020735275 scopus 로고
    • Partition equilibria of nonionic organic compounds between soil organic matter and water
    • Chiou, C. R., Porter, P. E. and Schmedding, D. W.: 1983, Partition equilibria of nonionic organic compounds between soil organic matter and water, Environ. Sci. Technol. 17, 227-231.
    • (1983) Environ. Sci. Technol. , vol.17 , pp. 227-231
    • Chiou, C.R.1    Porter, P.E.2    Schmedding, D.W.3
  • 9
    • 0030274096 scopus 로고    scopus 로고
    • One-dimensional virus transport in homogeneous porous media with time-dependent distribution coefficient
    • Chrysikopoulos, C. V. and Sim, Y.: 1996, One-dimensional virus transport in homogeneous porous media with time-dependent distribution coefficient, J. Hydrol. 185, 199-219.
    • (1996) J. Hydrol. , vol.185 , pp. 199-219
    • Chrysikopoulos, C.V.1    Sim, Y.2
  • 11
    • 0026938169 scopus 로고
    • Development of porous media theories - A brief historical review
    • de Boer, R.: 1992, Development of porous media theories - a brief historical review, Transport in Porous Media 9, 155-164.
    • (1992) Transport in Porous Media , vol.9 , pp. 155-164
    • De Boer, R.1
  • 12
    • 0016470063 scopus 로고
    • A derivation of the equations for multi-phase transport
    • Gray, W. G.: 1975, A derivation of the equations for multi-phase transport, Chem. Engng. Sci. 30, 229-233.
    • (1975) Chem. Engng. Sci. , vol.30 , pp. 229-233
    • Gray, W.G.1
  • 13
    • 0032054018 scopus 로고    scopus 로고
    • Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points
    • Gray, W. G. and Hassanizadeh, S. M.: 1998, Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points, Adv. Water Resour. 21, 261-281.
    • (1998) Adv. Water Resour. , vol.21 , pp. 261-281
    • Gray, W.G.1    Hassanizadeh, S.M.2
  • 14
    • 0030615742 scopus 로고    scopus 로고
    • Numerical solution of transport equation for applications in environmental hydraulics and hydrology
    • Islam, M. R. and Chaudhry, M. H.: 1997, Numerical solution of transport equation for applications in environmental hydraulics and hydrology, J. Hydrol. 191, 106-121.
    • (1997) J. Hydrol. , vol.191 , pp. 106-121
    • Islam, M.R.1    Chaudhry, M.H.2
  • 15
    • 0344975809 scopus 로고
    • Note on a problem in radial flow
    • Jaeger, J. C.: 1944, Note on a problem in radial flow, Proc. Phys. Soc. Lond. 56, 197-204.
    • (1944) Proc. Phys. Soc. Lond. , vol.56 , pp. 197-204
    • Jaeger, J.C.1
  • 17
    • 0027257722 scopus 로고
    • Modeling partitioning and transport interactions between natural organic matter and polynuclear aromatic hydrocarbons in groundwater
    • Liu, H. and Amy, G.: 1993, Modeling partitioning and transport interactions between natural organic matter and polynuclear aromatic hydrocarbons in groundwater, Environ. Sci. Technol. 27, 1553-1562.
    • (1993) Environ. Sci. Technol. , vol.27 , pp. 1553-1562
    • Liu, H.1    Amy, G.2
  • 18
    • 0032054529 scopus 로고    scopus 로고
    • Analytical modeling of diffusion-limited contamination and decontamination in a two-layer porous medium
    • Liu, C. and Ball, W. P.: 1998, Analytical modeling of diffusion-limited contamination and decontamination in a two-layer porous medium, Adv. Water Resour. 21, 297-313.
    • (1998) Adv. Water Resour. , vol.21 , pp. 297-313
    • Liu, C.1    Ball, W.P.2
  • 19
    • 0026222125 scopus 로고
    • Evaluation of sorption models in the simulation of naphthalene transport through saturated soils
    • Liu, K.-H., Enfield, C. G. and Mravik, S. C.: 1991, Evaluation of sorption models in the simulation of naphthalene transport through saturated soils, Ground Water 29, 685-692.
    • (1991) Ground Water , vol.29 , pp. 685-692
    • Liu, K.-H.1    Enfield, C.G.2    Mravik, S.C.3
  • 20
    • 0026816861 scopus 로고
    • Analyis of diffusion through composite membranes - I. Mathematical development
    • Mitlin, V. and Bromberg, L.: 1992, Analyis of diffusion through composite membranes - I. Mathematical development, Chem. Engng. Sci. 47, 695-703.
    • (1992) Chem. Engng. Sci. , vol.47 , pp. 695-703
    • Mitlin, V.1    Bromberg, L.2
  • 21
    • 0031127027 scopus 로고    scopus 로고
    • Two-equation model for a diffusive process in porous media using the volume averaging method with an unsteady-state closure
    • Moyne, C.: 1997, Two-equation model for a diffusive process in porous media using the volume averaging method with an unsteady-state closure, Adv. Water Resour. 20, 63-76.
    • (1997) Adv. Water Resour. , vol.20 , pp. 63-76
    • Moyne, C.1
  • 22
    • 0141843840 scopus 로고
    • A general class of unsteady heat flow problems in a finite composite hollow circular cylinder
    • Olcer, N. Y.: 1968, A general class of unsteady heat flow problems in a finite composite hollow circular cylinder, Q. Appl. Math. 26, 355-371.
    • (1968) Q. Appl. Math. , vol.26 , pp. 355-371
    • Olcer, N.Y.1
  • 23
    • 0027594762 scopus 로고
    • Mass flux of organic chemicals through polyethylene geomembranes
    • Park, J. K. and Nibras, M.: 1993, Mass flux of organic chemicals through polyethylene geomembranes, Water Environ. Res. 65, 227-237.
    • (1993) Water Environ. Res. , vol.65 , pp. 227-237
    • Park, J.K.1    Nibras, M.2
  • 24
    • 0001534627 scopus 로고
    • Heat flow through composite cylinders
    • Penner, S. S. and Sherman, S.: 1947, Heat flow through composite cylinders, J. Chem. Phys. 15, 569-574.
    • (1947) J. Chem. Phys. , vol.15 , pp. 569-574
    • Penner, S.S.1    Sherman, S.2
  • 25
    • 0027628337 scopus 로고
    • Transport in ordered and disordered porous media: Volume-averaged equations, closure problems, and comparison with experiment
    • Quintard, M. and Whitaker, S.: 1993, Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment, Chem. Engng. Sci. 48, 2537-2564.
    • (1993) Chem. Engng. Sci. , vol.48 , pp. 2537-2564
    • Quintard, M.1    Whitaker, S.2
  • 26
    • 0031127838 scopus 로고    scopus 로고
    • Two-medium treatment of heat transfer in porous media: Numerical results for effective properties
    • Quintard, M., Kaviany, M. and Whitaker, S.: 1997, Two-medium treatment of heat transfer in porous media: numerical results for effective properties, Adv. Water Resour. 20, 77-94.
    • (1997) Adv. Water Resour. , vol.20 , pp. 77-94
    • Quintard, M.1    Kaviany, M.2    Whitaker, S.3
  • 27
    • 0026158366 scopus 로고
    • Sorption phenomena in subsurface systems: Concepts, models and effects on contaminant fate and transport
    • Weber, W. J., Jr., McGinley, P. M. and Katz, L. E.: 1991, Sorption phenomena in subsurface systems: concepts, models and effects on contaminant fate and transport, Water Res. 25, 499-528.
    • (1991) Water Res. , vol.25 , pp. 499-528
    • Weber W.J., Jr.1    McGinley, P.M.2    Katz, L.E.3
  • 28
    • 0015564308 scopus 로고
    • The transport equations for multiphase systems
    • Whitaker, S.: 1973, The transport equations for multiphase systems, Chem. Engng. Sci. 28, 139-147.
    • (1973) Chem. Engng. Sci. , vol.28 , pp. 139-147
    • Whitaker, S.1
  • 30
    • 0004149831 scopus 로고    scopus 로고
    • Wolfram Media/Cambridge University Press, New York
    • Wolfram, S.: 1996, The Mathematica Book, 3rd edn, Wolfram Media/Cambridge University Press, New York.
    • (1996) The Mathematica Book, 3rd Edn
    • Wolfram, S.1
  • 31
    • 0032004955 scopus 로고    scopus 로고
    • Diffusion and reaction in biofilms
    • Wood, B. D. and Whitaker, S.: 1998, Diffusion and reaction in biofilms, Chem. Engng. Sci. 53, 397-425.
    • (1998) Chem. Engng. Sci. , vol.53 , pp. 397-425
    • Wood, B.D.1    Whitaker, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.