Studies of Transport of Asphaltenes through Membranes Using Hindered Diffusion Theories for Spheres and Spheroids

Industrial and Engineering Chemistry Research

Volumn 36, Issue 8, 1997, Pages 3154-3162

  Ravi Kumar, V S ^a   Tsotsis, Theodore T ^a   Sahimi, Muhammad ^a  

^a University of Southern California ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; DIFFUSION IN SOLIDS; HYDRODYNAMICS; MASS TRANSFER; MATHEMATICAL MODELS; MEMBRANES; MOLECULES; MONTE CARLO METHODS; RANDOM PROCESSES; SPHERES;

ASPHALTENES;

CRUDE PETROLEUM;

EID: 0031198487     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie960598c     Document Type: Article

References (52)

1. Abramowitz, M.; Stegun, I. A. Handbook of Mathematical Functions; Dover: New York, 1964.
2. Anderson, J. L. Configurational Effect on the Reflection Coefficient for Rigid Solutes in Capillary Pores. J. Theor. Biol. 1981, 90, 405.
3. Anderson, J. L.; Quinn, J. A. Restricted Transport in Small Pores: A Model for Steric Exclusion and Hindered Particle Motion. Biophys. J. 1974, 14, 130.
4. Baltus, R. E.; Anderson, J. L. Hindered Diffusion of Asphaltenes through Microporous Membranes. Chem. Eng. Sci. 1983, 38, 1959.
5. Baltus, R. E.; Anderson, J. L. Comparison of GPC Elution Characteristics and Diffusion Coefficients of Asphaltenes. Fuel 1984, 63, 530.
6. Brenner, H.; Gaydos, L. J. The Constrained Brownian Movement of Spherical Particles in Cylindrical Pores of Comparable Radius. J. Colloid Interface Sci. 1977, 58, 312.
7. Bungay, P. M.; Brenner, H. The Motion of a Closely-Fitting Sphere in a Fluid-Filled Tube. Int. J. Multiphase Flow 1973, 1, 25.
8. Bunger, J. W.; Cogswell, D. E. Characteristics of Tar Sand Bitumen Asphaltenes as Studied by Conversion of Bitumen by Hydropyrolysis. In Chemistry of Asphaltenes; Bunger, J. W., Li, C. N., Eds.; Advances in Chemistry Series; American Chemical Society: Washington, DC, 1981.
9. Chen, T. C.; Skalak, R. Stokes Flow in a Cylindrical Tube Containing a Line of Spheroidal Particles. Appl. Sci. Res. 1970, 22, 403.
10. Dabir, B.; Nematy, M.; Mehrabi, A. R.; Rassamdana, H.; Sahimi, M. Asphalt Flocculation and Deposition. III. The Molecular Weight Distribution. Fuel 1996, 75, 1633.
11. Davidson, M. G.; Deen, W. M. Hydrodynamic Theory for the Hindered Transport of Flexible Macromolecules in Porous Membranes. J. Membrane Sci. 1988, 35, 167.
12. Deen, W. M. Hindered Transport of Large Molecules in Liquid-filled Pores. AIChE 1987, 33, 1409.
13. Giddings, J. C.; Kucera, E.; Russell, C. P.; Myers, M. N. Statistical Theory for the Equilibrium Distribution of Rigid Molecules. Exclusion Chromatography. J. Phys. Chem. 1968, 72, 4397.
14. Haberman, W. L.; Sayre, R. M. Motion of Rigid and Fluid Spheres in Stationary and Moving Liquids inside Cylindrical Tubes. Technical Report, David Taylor Model Basin. Report No. 1143. U.S. Navy, Washington, DC, 1958.
15. Happel, J.; Brenner, H. Low Reynolds Number Hydrodynamics: with Special Applications to Particulate Media; Prentice-Hall: Englewood Cliffs: NJ, 1991.
16. IBM. IBM AIX Parallel Eivironment - Operation and Use. Technical Report, Release 2.1, 2nd ed., 1994.
17. Kim, S.; Karrila, S. Microhydrodynamics. Principles and Selected Applications; Butterworth-Heinemann: Boston, 1991.
18. Koots, J. A.; Speight, J. G. Relation of Petroleum Resins to Asphaltenes. Fuel 1975, 54, 179.
19. Lewellen, P. C. Hydrodynamic Analysis of Microporous Mass Transport. Ph.D. Thesis, The University of Wisconsin-Madison, 1982.
20. Limbach, K. W.; Nitsche, J. M.; Wei, J. Partitioning of Non-spherical Molecules Between Bulk Solution and Porous Solids. AIChE J. 1989, 35, 42.
21. Mavrovouniotis, G. M.; Brenner, H. Hindered Sedimentation and Dispersion Coefficients for Rigid, Closely Fitting Brownian Spheres in Circular Cylindrical Pores Containing Quiescent Fluids. J. Colloid Interface Sci. 1988, 124, 269.
22. McKay, J. F.; Amend, P. J.; Cogswell, T. E.; Harnsberger, P. M.; Erikson, R. B.; Latham, D. R. Petroleum Asphaltenes. Chemistry and Composition. Analytical Chemistry of Liquid Fuel Sources: Tar Sands, Oil Shale, Coal, and Petroleum; Uden, Peter C., Jensen, Howard B., Eds.; Advances in Chemistry Series; American Chemical Society: Washington, DC, 1978; Vol. 170, p 128.
23. Nitsche, J. M. Hydrodynamic Coupling and Non-equilibrium Distribution in Pore Diffusion of Non-spherical Particles. Part. Sci. Technol. 1991, 9, 135.
24. Nitsche, J. M. Pore Diffusion of Nonspherical Brownian Particles. Ind. Eng. Chem. Res. 1995, 34, 3606.
25. Nitsche, J. M.; Balgi, G. Hindered Brownian Diffusion of Spherical Solutes within Circular Pores. Ind. Eng. Chem. Res. 1994, 33, 2242.
26. Paine, P. L.; Scherr, P. Drag Coefficients for the Movement of Rigid Spheres Through Liquid-filled Cylindrical Pores. Biophys. J. 1975, 15, 1087.
27. Pappenheimer, J. R.; Renkin, E. M.; Borrero, L. M. Filtration, Diffusion and Molecular Sieving through Peripheral Capillary Membranes. Am. J. Physiol. 1951, 167, 13.
28. Phan-Thien, N.; Graham, A. Translation and Rotation of Spheres Settling in Square and Circular Conduits: Experiments and Numerical Predictions. Int. J. Multiphase Flow 1992, 18, 1061.
29. Rassamdana, H.; Sahimi, M. Asphalt Flocculation and Deposition. II. Formation and Growth of Fractal Aggregates, AIChE J. 1996, 42, 3318.
30. Rassamdana, H.; Dabir, B.; Nematy, M.; Farhani, M.; Sahimi, M. Asphalt Flocculation and Deposition I. The Onset of Precipitation. AIChE J. 1996, 42, 10.
31. Ravi-Kumar, V. S.; Tsotsis, T. T.; Sahimi, M.; Webster, I. A. Studies of Transport of Asphaltenes Through Porous Membranes: Statistical Structural Models and Continuum Hydrodynamic Theories. Chem. Eng. Sci. 1994, 49, 5789.
32. Ravi-Kumar, V. S.; Tsotsis, T. T.; Sahimi, M.; Webster, I. A. Inorganic Membranes for the Study of Transport and Reaction of Petroleum and Coal Liquids. Proceedings of the 3rd International Conference on Inorganic Membranes, Worcestershire, MA, 1995.
33. Sane, R. C.; Tsotsis, T. T.; Webster, I. A.; Ravi-Kumar, V. S. Studies of Asphaltene Diffusion and Structure and Their Implications for Resid Upgrading. Chem. Eng. Sci. 1992, 47, 2683.
34. Sane, R. C.; Tsotsis, T. T.; Webster, I. A.; Ravi-Kumar, V. S. Studies of Asphaltene Diffusion. Implications For Asphaltene Structure And Optimal Upgrading Reactor Design. In Asphaltenes and Asphalts; Developments in Petroleum Science; Yen, T. F., Chilingar, G. V., Eds.; Elsevier-Science: Amsterdam, 1994; Vol. 1.
35. Savage, P. E.; Klein, M. T. Asphaltene Reaction Pathways. V. Chemical and Mathematical Modeling. Chem. Eng. Sci. 1989, 44, 393.
36. Sheu, E. Y.; Liang, K. S.; Sinha, S. K.; Overfield, R. E. Polydispersity of Asphaltenes in Toluene. Prepr. Pap. - Am. Chem. Soc., Div. Pet. Chem. 1990, 35, 813.
37. Sheu, E. Y.; De Tar, M. M.; Storm, D. A.; DeCanio, S. J. Aggregation and Kinetics of Asphaltenes in Organic-solvents. Fuel 1992, 71, 299.
38. Speight, J. G. The Application of Spectroscopic Techniques to the Structural Analysis of Coal and Petroleum. Appl. Spectrosc. Rev. 1972, 5, 211.
39. Speight, J. G.; Moschopedis, S. E. On the Molecular Nature of Petroleum Asphaltenes. Chemistry of Asphaltenes; Bunger, J. W., Li, C. N., Eds.; Advances in Chemistry; American Chemical Society: Washington, DC, 1981; Vol. 195.
40. Strausz, O. P.; Lown, E. M.; Mojelsky, T. W. The Molecular Structure of Asphaltene. Prepr. Pap. - Am. Chem. Soc., Div. Fuel. Chem. 1994, 39, 199.
41. Trauth, D. M.; Stark, S. M.; Petti, T. F.; Neurock, M.; Klein, M. T. Representation of the Molecular Structure of Petroleum Resid through Characterization and Monte Carlo Modeling. Energy Fuels 1994, 8, 576.
42. Tsai, C. H.; Massoth, F. E.; Lee, S. Y.; Seader, J. D. Effects of Solvent and Solute Configuration on Restrictive Diffusion in Hydrotreating Catalysts. Ind. Eng. Chem. Res. 1991, 30, 22.
43. Tullock D. L.; Phan-Thien, N.; Graham, A. L. Boundary Element Simulations of Spheres Settling in Circular, Square and Triangular Conduits. Rheol. Acta 1992, 31, 139.
44. Wakiya, S. J. J. Phys. Soc. Jpn. 1957, 12, 1130 (as cited by Happel and Brenner (1991)).
45. Wiehe, I. A. A Solvent - Resid Phase Diagram for Tracking Resid Conversion. Ind. Eng. Chem. Res. 1992, 31, 530.
46. Yang, H.; Kim, S. Boundary Element Analysis of Particle Mobilities in a Cylindrical Channel: Network-based Parallel Computing with Condor. Comput. Chem. Eng. 1995, 19, 683.
47. Yen, T. F. The Overall Properties of Asphaltenes as Deduced from Structure. Prepr. Pap. - Am. Chem. Soc., Div. Pet. Chem. 1994, 39, 198.
48. Yen, T. F.; Erdman, J. L.; Pollack, S. P. Investigation of the Structure of Petroleum Asphaltenes by X-ray Diffraction. Anal. Chem. 1961, 33, 1587.
49. Yen, T. F.; Wu, W. H.; Chilingar, G. V. A Study of the Structure of Petroleum Asphaltenes and Related Substances by Infrared Spectroscopy. Energy Sources 1984a, 7, 203.
50. Yen, T. F.; Wu, W. H.; Chilingar, G. V. A Study of the Structure of Petroleum Asphaltenes and Related Substances by Proton Nuclear Magnetic Resonance. Energy Sources 1984b, 7, 275.
51. Youngren, G. K.; Acrivos, A. Stokes Flow Past a Particle of Arbitrary Shape: A Numerical Method of Solution. J. Fluid Mech. 1975, 69, 377.
52. Zick, A. A.; Homsy, G. M. Stokes Flow Through Periodic Arrays of Spheres. J. Fluid Mech. 1982, 115, 13.