Investigating the validity of the Bosanquet formula for estimation of diffusivities in mesopores

Chemical Engineering Science

Volumn 69, Issue 1, 2012, Pages 684-688

  Krishna, Rajamani ^a   van Baten, Jasper M ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Adsorption; Bosanquet interpolation; Dusty gas model; Knudsen formula; Mesopore; Self diffusivity

Indexed keywords

ADSORPTION STRENGTH; DIFFUSE REFLECTANCE; DIFFUSIVITIES; DUSTY GAS MODELS; FLUID-PHASE; KNUDSEN; KNUDSEN DIFFUSIVITY; KNUDSEN FORMULA; MESO-PORES; MESOPORE; MOLAR CONCENTRATION; MOLECULAR DYNAMICS SIMULATIONS; MOLECULE-MOLECULE INTERACTIONS; PORE DIAMETERS; PORE WALL; SELF-DIFFUSIVITY;

ADSORPTION; CARBON DIOXIDE; COMPUTER SIMULATION; DIFFUSION; ESTIMATION; KRYPTON; MOLECULAR DYNAMICS; PORE PRESSURE; QUAY WALLS;

MOLECULES;

EID: 83955163620     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2011.11.026     Document Type: Article

References (26)

1. Bhatia S.K. Modeling pure gas permeation in nanoporous materials and membranes. Langmuir 2010, 26:8373-8385.
2. Bhatia S.K., Bonilla M.R., Nicholson D. Molecular transport in nanopores: a theoretical perspective. Phys. Chem. Chem. Phys. 2011, 13:15350-15383.
3. 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.
4. Froment G.F., Bischoff K.B. Chemical Reactor-Analysis and Design 1979, John Wiley & Sons, New York.
5. Fuller E.N., Schettler P.D., Giddings J.C. A new method for prediction of binary gas-phase diffusion coefficients. Ind. Eng. Chem. 1966, 58:19-27.
6. Goguet A., Hardacre C., Inceesungvorn B., Morgan K., Shekhtman S.O. Correction for a possible reversible adsorption over an "inert" material. Catal. Sci. Technol. 2011, 1:760-767.
7. Gruener S., Huber P. Knudsen diffusion in silicon nanochannels. Phys. Rev. Lett. 2008, 100:064502.
8. Huang Q., Qamar R.A., Eić M. Single component and binary diffusion of n-heptane and toluene in SBA-15 materials. Adsorpt.-J. Int. Adsorpt. Soc. 2011, 17:27-38.
9. Katsanos N.A., Bakaoukas N., Koliadima A., Karaiskakis G. Diffusion and adsorption measurements in porous solids by inverse gas chromatography. J. Phys. Chem. B 2005, 109:11240-11246.
10. Knudsen M. Die Gesetze der Molekularströmung und der inneren Reibungssströmung der Gase durch Röhren. Ann. Phys. 1909, 333:75-130.
11. Krishna R. Describing the diffusion of guest molecules inside porous structures. J. Phys. Chem. C 2009, 113:19756-19781.
12. 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.
13. Krishna R., van Baten J.M. Unified Maxwell-Stefan description of binary mixture diffusion in micro- and meso-porous materials. Chem. Eng. Sci. 2009, 64:3159-3178.
14. Krishna R., van Baten J.M. Investigating the validity of the Knudsen prescription for diffusivities in a mesoporous covalent organic framework. Ind. Eng. Chem. Res. 2011, 50:7083-7087.
15. Krishna R., van Baten J.M. Influence of adsorption on the diffusion selectivity for mixture permeation across mesoporous membranes. J. Membr. Sci. 2011, 369:545-549.
16. Krishna R., van Baten J.M. A molecular dynamics investigation of the unusual concentration dependencies of Fick diffusivities in silica mesopores. Microporous Mesoporous Mater. 2011, 138:228-234.
17. Mason E.A., Malinauskas A.P. Gas Transport in Porous Media: The Dusty-Gas Model 1983, Elsevier, Amsterdam.
18. Poling B.E., Prausnitz J.M., O'Connell J.P. The Properties of Gases and Liquids 2001, McGraw-Hill, New York. 5th edition.
19. Pollard W.G., Present R.D. On gaseous self-diffusion in long capillary tubes. Phys. Rev. 1948, 73:762-774.
20. Reyes S.C., Sinfelt J.H., DeMartin G.J., Ernst R.H., Iglesia E. Frequency modulation methods for diffusion and adsorption measurements in porous solids. J. Phys. Chem. B 1997, 101:614-622.
21. Rout K.R., Solsvik J., Nayak A.K., Jakobsen H.A. A numerical study of multicomponent mass diffusion and convection in porous pellets for the sorption-enhanced steam methane reforming and desorption processes. Chem. Eng. Sci. 2008, 66:4111-4126.
22. Ruthven D.M. Letter to the Editor. Response to Comments from S.K. Bhatia and D. Nicholson. Chem. Eng. Sci. 2010, 65:4521-4522.
23. Smoluchowski M. Zur Kinetischen Theorie der Transpiration und Diffusion verdünnter Gase. Ann. Phys. 1910, 338:1559-1570.
24. Solsvik J., Jakobsen H.A. Modeling of multicomponent mass diffusion in porous spherical pellets: application to steam methane reforming and methanol synthesis. Chem. Eng. Sci. 2008, 66:1986-2000.
25. Spiegler K.S. Diffusion of gases across porous media. Ind. Eng. Chem. Fundam. 1966, 5:529-532.
26. Youngquist G.R. Diffusion and flow of gases in porous solids. Ind. Eng. Chem. 1970, 62:52-63.