New Light on Some Old Problems: Revisiting the Stefan Tube, Graham's Law, and the Bosanquet Equation

Industrial and Engineering Chemistry Research

Volumn 36, Issue 3, 1997, Pages 915-922

  Kerkhof, Piet J A M ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; CATALYSIS; DIFFUSION; MATHEMATICAL MODELS; MOLECULES; TRANSPORT PROPERTIES; TUBES (COMPONENTS); ULTRAFILTRATION; VAPORS;

BINARY FRICTION MODEL; BOSANQUET EQUATION; COUNTER DIFFUSION; GRAHAM LAW; MOLECULAR DIFFUSION; STEFAN DIFFUSION TUBE; WATER VAPOR;

LAMINAR FLOW;

DIFFUSION; FLOW REGIME RELATIONS; FRICTION;

EID: 0031106018     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie960542i     Document Type: Article

References (28)

1. Bird, R. B.; Stewart, W. E.; Lightfoot, E. N. Transport Phenomena; John Wiley and Sons: New York, 1960.
2. Cergignani, C.; Sharipov, F. Gaseous Mixture Slit Flow at Intermediate Knudsen Numbers, Phys. Fluids A 1992, 4,1283-1289.
3. Evans, R. B.; Watson, G. M.; Truitt, J. Interdiffusion of Gases in a Low Permeability Graphite at Uniform Pressure. J. Appl. Phys. 1962, 33, 2682-2688.
4. Evans, R. B.; Watson, G. M.; Truitt, J. Interdiffusion of Gases in a Low Permeability Graphite. II. Influence of Pressure Gradients. J. Appl. Phys. 1963, 34, 2020-2026.
5. Froment, G. F.; Bischoff, K. B. Chemical Reactor Analysis and Design; John Wiley and Sons: New York, 1979.
6. Jackson, R. Transport in Porous Catalysts, Elsevier; Amsterdam, The Netherlands, 1977.
7. Kärger, J.; Ruthven, D. M. Diffusion in Zeolites and Other Microporous Systems; John Wiley and Sons, Inc.: New York, 1992.
8. Keil, F. J. Modelling of Phenomena within Catalyst Particles. Chem. Eng. Sci. 1996, 10, 1543-1567.
9. Kerkhof, P. J. A. M. A Modified Maxwell-Stefan Model for Transport through Inert Membranes: the Binary Friction Model. Chem. Eng. J. 1997, 66, in press.
10. Kramers, H. A.; Kistemaker, J. On the Slip of a Diffusing Gas Mixture along a Wall. Physica X 1943, 8, 699-713.
11. Krischer, O.; Kast, W. Die Wissenschaftlichen Grundlagen der Trocknungstechnik, 1er Band, 3rd ed.; Springer-Verlag: Berlin, 1978.
12. Lang, H.; Loyalka, S. K. An exact expression for the Diffusion Slip Velocity in a Binary Gas Mixture. Phys. Fluids 1970,13, 1871-1873.
13. Lightfoot, E. N. Transport in Living Systems; John Wiley and Sons: New York, 1974.
14. Mason, E. A.; Viehland, L. A. Statistical-Mechanical Theory of Membrane Transport for Multicomponent Systems: Passive Transport through Open Membranes. J. Chem. Phys. 1978, 68, 3562-3573.
15. Mason, E. A.; Malinauskas, A. P. Gas Transport in Porous Media: The Dusty Gas Model; Elsevier: Amsterdam, The Netherlands, 1983.
16. Mason, E. A.; del Castillo, L. F.The Role of Viscous Flow in Theories of Membrane Transport. J. Membr. Sci. 1985, 23, 199-220.
17. Mason, E. A.; Lonsdale, H. K. Statistical-Mechanical Theory of Membrane Transport. J. Membr. Sci. 1990, 51, 1-80.
18. Mason, E. A.; Malinauskas, A. P.; Evans, R. B., III Flow and Diffusion of Gases in Porous Media. J. Chem. Phys. 1967, 46, 3199-3216.
19. Maxwell, J. C. Scientific Papers, vol. II p 86, 1879; in the edition by Niven, W. D. Dover Publications: New York, 1965; pp 681-712.
20. Mo, G.; Rozenberger, F. Molecular-dynamics Simulations of Flow with Binary Diffusion in a Two-dimensional Channel with Atomically Rough Walls. Phys. Rev. A 1991, 44, 4978-4985.
21. Noever, D. A. The Baroeffect and an Appropriate Momentum Boundary Condition. Phys. Fluids A 1990, 5, 858-865.
22. Reid, R. C.; Prausnitz, J. M.; Sherwood, T. K. The Properties of Gases and Liquids; McGraw-Hill: New York, 1977.
23. Robertson, B. C.; Zydney, A. L. Stefan-Maxwell Analysis of Protein Transport in Porous Membranes. Sep. Sci. Technol. 1988, 23, 1799-1811.
24. Veldsink, J. W.; van Damme, R. M. J.; Versteeg, G. F.; van Swaaij, W. P. M. The Use of the Dusty-Gas Model for the Description of Mass Transport with Chemical Reaction. Chem. Eng. J. 1995, 57, 115-125.
25. Waldmann, L.; Schmitt, K. H. Über das bei der Gasdiffusion auftretende Druckgefälle. Z. Naturforsch. 1961, 16A, 1343-1354.
26. Whitaker, S. Levels of Simplification: The Use of Assumptions, Restrictions and Constraints in Engineering Analysis. Chem. Eng. Ed. 1988, 22, 104-108.
27. Whitaker, S. The Development of Fluid Mechanics in Chemical Engineering. One Hundred Years of Chemical Engineering; In Peppas, N., Ed.; Kluwer Academic Publishers: Dordrecht, The Netherlands, 1989; pp 45-109.
28. Whitaker, S. Role of the Species Momentum Equation in the Analysis of the Stefan Diffusion Tube. Ind. Eng. Chem. Res. 1991, 30, 978-983.