메뉴 건너뛰기




Volumn 382, Issue 1-2, 2011, Pages 339-349

The low-density diffusion coefficient of soft-sphere fluids in nanopores: Accurate correlations from exact theory and criteria for applicability of the Knudsen model

Author keywords

Adsorption; Diffusion in porous media; Gas separation; Knudsen diffusion; Membrane characterisation; Membrane diffusion

Indexed keywords

CLASSICAL METHODS; COMPUTATIONAL DEMANDS; CONFINED SPACE; DIFFUSIVITIES; DISPERSIVE FORCES; EMERGING APPLICATIONS; FAST ESTIMATION; FLUID SOLID INTERACTION; GAS SEPARATION; GAS SEPARATIONS; HIGH TEMPERATURE; KNUDSEN; KNUDSEN DIFFUSION; MEMBRANE CHARACTERISATION; MEMBRANE DIFFUSION; MODERATE TEMPERATURE; MOLECULAR DYNAMICS SIMULATIONS; MOLECULAR TRANSPORT; NARROW PORES; NON-CATALYTIC; ORDERS OF MAGNITUDE; OSCILLATOR MODEL; PARAMETER VALUES; PERMEATION DATA; SIMPLE GEOMETRIES; STRAIGHT-FORWARD METHOD;

EID: 80052752531     PISSN: 03767388     EISSN: 18733123     Source Type: Journal    
DOI: 10.1016/j.memsci.2011.08.033     Document Type: Article
Times cited : (26)

References (51)
  • 4
    • 33644545430 scopus 로고    scopus 로고
    • Optimum conditions for adsorptive storage
    • Bhatia S.K., Myers A.L. Optimum conditions for adsorptive storage. Langmuir 2006, 22:1688-1700.
    • (2006) Langmuir , vol.22 , pp. 1688-1700
    • Bhatia, S.K.1    Myers, A.L.2
  • 7
    • 0037247886 scopus 로고    scopus 로고
    • The development of novel miniaturized immuno-sensing devices: a review of a small technology with a large future
    • Sheehan A.D., Quinn J., Daly S., Dillon P., O'Kennedy R. The development of novel miniaturized immuno-sensing devices: a review of a small technology with a large future. Anal. Lett. 2003, 36:511-537.
    • (2003) Anal. Lett. , vol.36 , pp. 511-537
    • Sheehan, A.D.1    Quinn, J.2    Daly, S.3    Dillon, P.4    O'Kennedy, R.5
  • 8
    • 0038646235 scopus 로고    scopus 로고
    • On the optimization of gas separation processes using zeolite membranes
    • Vareltzis P., Kikkinides E.S., Georgiadis M.C. On the optimization of gas separation processes using zeolite membranes. Chem. Eng. Res. Des. 2003, 81:525-536.
    • (2003) Chem. Eng. Res. Des. , vol.81 , pp. 525-536
    • Vareltzis, P.1    Kikkinides, E.S.2    Georgiadis, M.C.3
  • 9
    • 34548271593 scopus 로고    scopus 로고
    • Gas separation by a novel hybrid membrane/pressure swing adsorption process
    • Esteves I., Mota J.P.B. Gas separation by a novel hybrid membrane/pressure swing adsorption process. Ind. Eng. Chem. Res. 2007, 46:5723-5733.
    • (2007) Ind. Eng. Chem. Res. , vol.46 , pp. 5723-5733
    • Esteves, I.1    Mota, J.P.B.2
  • 11
    • 33744511878 scopus 로고    scopus 로고
    • Nanofiltration membrane performance on fluoride removal from water
    • Hu K., Dickson J.M. Nanofiltration membrane performance on fluoride removal from water. J. Membr. Sci. 2006, 279:529-538.
    • (2006) J. Membr. Sci. , vol.279 , pp. 529-538
    • Hu, K.1    Dickson, J.M.2
  • 12
    • 77952745278 scopus 로고    scopus 로고
    • Network model for the evolution of the pore structure of silicon-carbide membranes during their fabrication
    • Mourhatch R., Tsotsis T.T., Sahimi M. Network model for the evolution of the pore structure of silicon-carbide membranes during their fabrication. J. Membr. Sci. 2010, 356:138-146.
    • (2010) J. Membr. Sci. , vol.356 , pp. 138-146
    • Mourhatch, R.1    Tsotsis, T.T.2    Sahimi, M.3
  • 13
    • 69249107755 scopus 로고    scopus 로고
    • Molecular dynamics study of sorbate diffusion in a simple porous membrane containing microporous nanocrystals and mesopores
    • Knauth M., Vasenkov S., Kärger J., Fritzsche S. Molecular dynamics study of sorbate diffusion in a simple porous membrane containing microporous nanocrystals and mesopores. Chem. Phys. Lett. 2009, 479:95-99.
    • (2009) Chem. Phys. Lett. , vol.479 , pp. 95-99
    • Knauth, M.1    Vasenkov, S.2    Kärger, J.3    Fritzsche, S.4
  • 14
    • 84977259887 scopus 로고
    • Die gesetze der molekularströmung und der inneren reibungsströmung der gase durch röhren
    • Knudsen M. Die gesetze der molekularströmung und der inneren reibungsströmung der gase durch röhren. Ann. Phys. 1909, 333:75-130.
    • (1909) Ann. Phys. , vol.333 , pp. 75-130
    • Knudsen, M.1
  • 15
    • 36149004630 scopus 로고
    • The molecular and the frictional flow of gases in tubes
    • Knudsen M., Fisher W.J. The molecular and the frictional flow of gases in tubes. Phys. Rev. 1910, 31:586-588.
    • (1910) Phys. Rev. , vol.31 , pp. 586-588
    • Knudsen, M.1    Fisher, W.J.2
  • 16
    • 80052127217 scopus 로고
    • Der molekulare Gaswiderstand gegen eine sich bewegende Platte
    • Knudsen M. Der molekulare Gaswiderstand gegen eine sich bewegende Platte. Ann. Phys. 1915, 351:641-656.
    • (1915) Ann. Phys. , vol.351 , pp. 641-656
    • Knudsen, M.1
  • 17
    • 84865366786 scopus 로고
    • Die maximale Verdampfungsgeschwindigkeit des Quecksilbers
    • Knudsen M. Die maximale Verdampfungsgeschwindigkeit des Quecksilbers. Ann. Phys. 1915, 352:697-708.
    • (1915) Ann. Phys. , vol.352 , pp. 697-708
    • Knudsen, M.1
  • 18
    • 84980068852 scopus 로고
    • Die Verdichtung von Metalldämpfen an abgekühlten Körpern
    • Knudsen M. Die Verdichtung von Metalldämpfen an abgekühlten Körpern. Ann. Phys. 1916, 355:472-488.
    • (1916) Ann. Phys. , vol.355 , pp. 472-488
    • Knudsen, M.1
  • 19
    • 84979109559 scopus 로고
    • Zur kinetischen theorie der transpiration und diffusion verdünnter gase
    • Smoluchowski M.v. Zur kinetischen theorie der transpiration und diffusion verdünnter gase. Ann. Phys. 1910, 338:1559-1570.
    • (1910) Ann. Phys. , vol.338 , pp. 1559-1570
    • Smoluchowski, M.1
  • 20
    • 84973521248 scopus 로고
    • Zur theorie der waermeleitung in verduennten gasen und der dabei auftretenden druckkraefte
    • Smoluchowski M.v. Zur theorie der waermeleitung in verduennten gasen und der dabei auftretenden druckkraefte. Ann. Phys. Lpz. 1911, 4:983-1004.
    • (1911) Ann. Phys. Lpz. , vol.4 , pp. 983-1004
    • Smoluchowski, M.1
  • 22
    • 77954558769 scopus 로고    scopus 로고
    • Modeling pure gas permeation in nanoporous materials and membranes
    • Bhatia S.K. Modeling pure gas permeation in nanoporous materials and membranes. Langmuir 2010, 26:8373-8385.
    • (2010) Langmuir , vol.26 , pp. 8373-8385
    • Bhatia, S.K.1
  • 23
    • 78650712935 scopus 로고    scopus 로고
    • Some pitfalls in the use of the Knudsen equation in modelling diffusion in nanoporous materials
    • Bhatia S.K., Nicholson D. Some pitfalls in the use of the Knudsen equation in modelling diffusion in nanoporous materials. Chem. Eng. Sci. 2011, 66:284-293.
    • (2011) Chem. Eng. Sci. , vol.66 , pp. 284-293
    • Bhatia, S.K.1    Nicholson, D.2
  • 24
    • 58749105791 scopus 로고    scopus 로고
    • An investigation of the characteristics of Maxwell-Stefan diffusivities of binary mixtures in silica nanopores
    • Krishna R., van Baten J.M. An investigation of the characteristics of Maxwell-Stefan diffusivities of binary mixtures in silica nanopores. Chem. Eng. Sci. 2009, 64:870-882.
    • (2009) Chem. Eng. Sci. , vol.64 , pp. 870-882
    • Krishna, R.1    van Baten, J.M.2
  • 25
    • 0033104007 scopus 로고    scopus 로고
    • Molecular dynamics simulations of diffusion in mesoporous glass
    • Fernandes N.E., Gavalas G.R. Molecular dynamics simulations of diffusion in mesoporous glass. Ind. Eng. Chem. Res. 1999, 38:723-730.
    • (1999) Ind. Eng. Chem. Res. , vol.38 , pp. 723-730
    • Fernandes, N.E.1    Gavalas, G.R.2
  • 26
    • 1842527450 scopus 로고    scopus 로고
    • Tractable molecular theory of transport of Lennard-Jones fluids in nanopores
    • Bhatia S.K., Jepps O., Nicholson D. Tractable molecular theory of transport of Lennard-Jones fluids in nanopores. J. Chem. Phys. 2004, 120:4472-4485.
    • (2004) J. Chem. Phys. , vol.120 , pp. 4472-4485
    • Bhatia, S.K.1    Jepps, O.2    Nicholson, D.3
  • 27
    • 0142250846 scopus 로고    scopus 로고
    • Wall mediated transport in confined spaces: exact theory for low density
    • Jepps O.G., Bhatia S.K., Searles D.J. Wall mediated transport in confined spaces: exact theory for low density. Phys. Rev. Lett. 2003, 91:1-4.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 1-4
    • Jepps, O.G.1    Bhatia, S.K.2    Searles, D.J.3
  • 28
    • 1842731756 scopus 로고    scopus 로고
    • Modeling molecular transport in slit pores
    • Jepps O.G., Bhatia S.K., Searles D.J. Modeling molecular transport in slit pores. J. Chem. Phys. 2004, 120:5396-5406.
    • (2004) J. Chem. Phys. , vol.120 , pp. 5396-5406
    • Jepps, O.G.1    Bhatia, S.K.2    Searles, D.J.3
  • 29
    • 0037392621 scopus 로고    scopus 로고
    • Analysis of multicomponent adsorption kinetics on activated carbon
    • Ding L.P., Bhatia S.K. Analysis of multicomponent adsorption kinetics on activated carbon. AIChE J. 2003, 49:883-895.
    • (2003) AIChE J. , vol.49 , pp. 883-895
    • Ding, L.P.1    Bhatia, S.K.2
  • 30
    • 0032682940 scopus 로고    scopus 로고
    • Multicomponent adsorption kinetics of gases in activated carbon: effect of pore size distribution
    • Hu X.J., Qiao S.Z., Do D.D. Multicomponent adsorption kinetics of gases in activated carbon: effect of pore size distribution. Langmuir 1999, 15:6428-6437.
    • (1999) Langmuir , vol.15 , pp. 6428-6437
    • Hu, X.J.1    Qiao, S.Z.2    Do, D.D.3
  • 31
    • 1242310585 scopus 로고    scopus 로고
    • Gas separation characteristics of DDR type zeolite membrane
    • Tomita T., Nakayama K., Sakai H. Gas separation characteristics of DDR type zeolite membrane. Micro. Meso. Mat. 2004, 68:71-75.
    • (2004) Micro. Meso. Mat. , vol.68 , pp. 71-75
    • Tomita, T.1    Nakayama, K.2    Sakai, H.3
  • 32
    • 0344984229 scopus 로고    scopus 로고
    • Molecular dynamics simulations of self-diffusivities, corrected diffusivities, and transport diffusivities of light gases in four silica zeolites to assess influences of pore shape and connectivity
    • Skoulidas A.I., Sholl D.S. Molecular dynamics simulations of self-diffusivities, corrected diffusivities, and transport diffusivities of light gases in four silica zeolites to assess influences of pore shape and connectivity. J. Phys. Chem. A 2003, 107:10132-10141.
    • (2003) J. Phys. Chem. A , vol.107 , pp. 10132-10141
    • Skoulidas, A.I.1    Sholl, D.S.2
  • 33
    • 23744474329 scopus 로고    scopus 로고
    • Comparisons of diffusive and viscous contributions to transport coefficients of light gases in single-walled carbon nanotubes
    • Bhatia S.K., Chen H., Sholl D.S. Comparisons of diffusive and viscous contributions to transport coefficients of light gases in single-walled carbon nanotubes. Mol. Sim. 2005, 31:643-649.
    • (2005) Mol. Sim. , vol.31 , pp. 643-649
    • Bhatia, S.K.1    Chen, H.2    Sholl, D.S.3
  • 34
    • 0037044976 scopus 로고    scopus 로고
    • Fluid flow in nanopores: accurate boundary conditions for carbon nanotubes
    • Sokhan V.P., Nicholson D., Quirke N. Fluid flow in nanopores: accurate boundary conditions for carbon nanotubes. J. Chem. Phys. 2002, 117:8531-8539.
    • (2002) J. Chem. Phys. , vol.117 , pp. 8531-8539
    • Sokhan, V.P.1    Nicholson, D.2    Quirke, N.3
  • 36
    • 80052739972 scopus 로고    scopus 로고
    • The role of the intermolecular potential on the dynamics of ethylene confined in cylindrical nanopores
    • Cruz F.J.A.L., Muller E.A., Mota J.P.B. The role of the intermolecular potential on the dynamics of ethylene confined in cylindrical nanopores. RSC Adv. 2011, 1:270-281.
    • (2011) RSC Adv. , vol.1 , pp. 270-281
    • Cruz, F.J.A.L.1    Muller, E.A.2    Mota, J.P.B.3
  • 37
    • 73749085643 scopus 로고    scopus 로고
    • Exploring the nature of surface barriers on MOF Zn(tbip) by applying IR microscopy in high temporal and spatial resolution
    • Chmelik C., Hibbe F., Tzoulaki D., Heinke L., Caro J., Li J., Kärger J. Exploring the nature of surface barriers on MOF Zn(tbip) by applying IR microscopy in high temporal and spatial resolution. Micro. Meso. Mat. 2010, 129:340-344.
    • (2010) Micro. Meso. Mat. , vol.129 , pp. 340-344
    • Chmelik, C.1    Hibbe, F.2    Tzoulaki, D.3    Heinke, L.4    Caro, J.5    Li, J.6    Kärger, J.7
  • 39
    • 26044432227 scopus 로고    scopus 로고
    • Quantitation of diffusion in zeolite catalysts
    • Kärger J., Vasenkov S. Quantitation of diffusion in zeolite catalysts. Micro. Meso. Mat. 2005, 85:195-206.
    • (2005) Micro. Meso. Mat. , vol.85 , pp. 195-206
    • Kärger, J.1    Vasenkov, S.2
  • 40
    • 34548231772 scopus 로고    scopus 로고
    • Direct assessment of transport properties of supercritical fluids confined to nanopores
    • Dvoyashkin M., Valiullin R., Kärger J., Einicke W.-D., Gläser R. Direct assessment of transport properties of supercritical fluids confined to nanopores. J. Am. Chem. Soc. 2007, 129:10344-10345.
    • (2007) J. Am. Chem. Soc. , vol.129 , pp. 10344-10345
    • Dvoyashkin, M.1    Valiullin, R.2    Kärger, J.3    Einicke, W.-D.4    Gläser, R.5
  • 41
    • 0343140020 scopus 로고
    • Transport in capillary network models of porous media: theory and simulation
    • Deepak P.D., Bhatia S.K. Transport in capillary network models of porous media: theory and simulation. Chem. Eng. Sci. 1994, 49:245-257.
    • (1994) Chem. Eng. Sci. , vol.49 , pp. 245-257
    • Deepak, P.D.1    Bhatia, S.K.2
  • 42
    • 0022566250 scopus 로고
    • Stochastic theory of transport in inhomogeneous media
    • Bhatia S.K. Stochastic theory of transport in inhomogeneous media. Chem. Eng. Sci. 1986, 41:1311-1324.
    • (1986) Chem. Eng. Sci. , vol.41 , pp. 1311-1324
    • Bhatia, S.K.1
  • 43
    • 80052119236 scopus 로고    scopus 로고
    • Molecular transport in nanopores: a theoretical perspective, PCCP.
    • S.K. Bhatia, M.R. Bonilla, D. Nicholson, Molecular transport in nanopores: a theoretical perspective, PCCP, doi:10.1039/C1CP21166H.
    • Bhatia, S.K.1    Bonilla, M.R.2    Nicholson, D.3
  • 44
    • 33644885740 scopus 로고    scopus 로고
    • Mechanisms influencing levitation and the scaling laws in nanopores: oscillator model theory
    • Anil Kumar A.V., Bhatia S.K. Mechanisms influencing levitation and the scaling laws in nanopores: oscillator model theory. J. Phys. Chem. B 2006, 110:3109-3113.
    • (2006) J. Phys. Chem. B , vol.110 , pp. 3109-3113
    • Anil Kumar, A.V.1    Bhatia, S.K.2
  • 46
    • 1842556205 scopus 로고    scopus 로고
    • A potential model for interaction between the Lennard-Jones cylindrical wall and fluid molecules
    • Zhang X., Wang W., Jiang G. A potential model for interaction between the Lennard-Jones cylindrical wall and fluid molecules. Fluid Phase Equilib. 2004, 218:239-246.
    • (2004) Fluid Phase Equilib. , vol.218 , pp. 239-246
    • Zhang, X.1    Wang, W.2    Jiang, G.3
  • 48
    • 0342359190 scopus 로고    scopus 로고
    • The viscosity of gaseous isobutane and its initial density dependence
    • Küchenmeister C., Vogel E. The viscosity of gaseous isobutane and its initial density dependence. Int. J. Thermophys. 2000, 21:329-341.
    • (2000) Int. J. Thermophys. , vol.21 , pp. 329-341
    • Küchenmeister, C.1    Vogel, E.2
  • 49
    • 0032213025 scopus 로고    scopus 로고
    • Pore size analysis of MCM-41 type adsorbents by means of nitrogen and argon adsorption
    • Neimark A.V., Ravikovitch P.I., Grün M., Schüth F., Unger K.K. Pore size analysis of MCM-41 type adsorbents by means of nitrogen and argon adsorption. J. Coll. Int. Sci. 1998, 207:159-169.
    • (1998) J. Coll. Int. Sci. , vol.207 , pp. 159-169
    • Neimark, A.V.1    Ravikovitch, P.I.2    Grün, M.3    Schüth, F.4    Unger, K.K.5
  • 50
    • 0042029455 scopus 로고    scopus 로고
    • Knudsen diffusivity of a hard sphere in a rough slit pore
    • Arya G., Chang H.-C., Maginn E.J. Knudsen diffusivity of a hard sphere in a rough slit pore. Phys. Rev. Lett. 2003, 91:026102.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 026102
    • Arya, G.1    Chang, H.-C.2    Maginn, E.J.3
  • 51
    • 36149072977 scopus 로고
    • The crystallite size of pyrolytic graphite
    • Morant R.A. The crystallite size of pyrolytic graphite. J. Phys. D: Appl. Phys. 1970, 3:1367.
    • (1970) J. Phys. D: Appl. Phys. , vol.3 , pp. 1367
    • Morant, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.