Diffusion through ordered force fields in nanopores represented by Smoluchowski equation

AIChE Journal

Volumn 55, Issue 6, 2009, Pages 1325-1337

  Wang, Fu Yang ^a   Zhu, Zhong Hua ^a   Rudolph, Victor ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Adsorption gas; Carbon nano tubes; Coal; Diffusion (micro porous); Mathematical modeling; Porous media

Indexed keywords

ADSORPTION/GAS; COMPUTATIONAL RESULTS; DIRECTIONAL FORCES; FICK DIFFUSION; FORCE FIELDS; GAS TRANSPORT; LOCAL SURFACES; MATHEMATICAL MODELING; MOLECULAR TRANSPORT; NONUNIFORM; POROUS MEDIA; POROUS-MEDIA FLOW; POTENTIAL GRADIENTS; SIMULATION RESULT; SMOLUCHOWSKI EQUATION;

CARBON NANOTUBES; COAL; COAL GAS; COAL INDUSTRY; DIFFUSION; GRAPHITE; NANOPORES; POROUS MATERIALS;

COAL TRANSPORTATION;

EID: 67649967798     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.11747     Document Type: Article

References (21)

1. Einstein A. Investigations on the Theory of the Brownian Movement. Edited with notes by Furth R, Translated by Cowper AD, New York: Dover, 1956.
2. Do DD. Adsorption Analysis: Equilibria and Kinetics. London: Imperial College Press, 1999.
3. Bhatia SK, Chan HB, Sholl DS. Comparison of diffusive and viscous contributions to transport coefficients of light gases in single-walled carbon nanotubes. Mol Simul. 2005;31:643-649.
4. Wang FY, Zhu ZH, Rudolph V. Molecular transport in nanopores with broad pore-size distribution. AIChE J. 2008;54:2009-2023.
5. Jepps OG, Bhatia SK, Searles DJ. Modelling molecular transport in slit pores. J Chem Phys. 2004;120:5396-5406.
6. Aranovich GL, Donhue MD. Limitations and generalization of the classical phenomenological model for diffusion in fluids. Mol Phys. 2007;105:1085-1093.
7. Wang FY, Zhu ZH, Massarotto P, Rudolph V. A simplified dynamic model for accelerated methane residual recovery from deep coals. Chem Eng Sci. 2007;62:3268-3275.
8. 2 sequestration. AIChE J. 2007;53:1028-1049.
9. Bae JS, Bhatia SK. High-pressure adsorption of methane and carbon dioxide on coal. Energy Fuels. 2006;20:2599-2607.
10. Schulten K, Kosztin I. Lectures in Theoretical Biophysics. University of Illinois at Urbana-Champaign, 2000. Available at: http://www.ks.uiuc.edu/~kosztin/PHYCS498NSM/
11. Friedlander SK. Smoke, Dust, and Haze: Fundamentals of Aerosol Dynamics, 2nd ed. New York: Oxford University Press, 2000.
12. Steele WA. The Interaction of Gases with Solid Surface. Oxford: Pergamon, 1974.
13. Rao MB, Jenkins RG, Steele WA. Potential functions for diffusion in carbon molecular sieves. Langmuir. 1985;1:137-141.
14. Do DD, Do HD. Adsorption of carbon tetrachloride on graphitized carbon black and in slit graphitic pores: five-site versus one-site potential models. J Phys Chem B. 2006; 110:9520-9528.
15. Do DD, Do HD. Adsorption of benzene on graphitized carbon black: reduction of the quadrupole moment in the adsorbed phase. Langmuir. 2006;22:1121-1128.
16. Zhang XR, Wang WC, Jiang GF. A potential model for interaction between the Lennard-Jones cylindrical wall and fluid molecules. Fluid Phase Equilib. 2004;218:239-246.
17. Villadsen J, Michelsen ML. Solution of Differential Equation Models by Polynomial Approximation. Englewood Cliffs: Prentice-Hall, 1978.
18. Finlayson BA. The Method of Weighted Residuals and Variational Principles: With Applications in Fluid Mechanics, Heat and Mass Transfer. New York: Academic Press, 1972.
19. 2 separations using single walled carbon nanotubes as membranes. J Membr Sci. 2006;269:152-160.
20. Chan F, Mourhatch R, Tsotsis TT, Sahimi M. Pore network model of transport and separation of binary gas mixture in nanoporous membranes. J Membr Sci. 2008;315:48-57.
21. Hunt A. Percolation Theory for Flow in Porous Media. Berlin: Springer, 2005.