Radial pore diffusion with nonuniform intraparticle porosities

Journal of Environmental Engineering

Volumn 130, Issue 10, 2004, Pages 1170-1179

  Başaǧaoǧlu, Hakan ^a,b   Ginn, Timothy R ^b   McCoy, Benjamin J ^c  

^a IDAHO NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Numerical models; Pore size distribution; Porosity; Porous media; Solutes

Indexed keywords

DIFFUSION; KINETIC THEORY; MASS TRANSFER; MATHEMATICAL MODELS; PARTICLE SIZE ANALYSIS; POROSITY; SORPTION;

INTRAPARTICLE POROSITIES; PARTICLE BOUNDARIES; SOLUTES;

PARTICLES (PARTICULATE MATTER);

DIFFUSION; PORE SIZE; POROSITY; POROUS MEDIUM;

EID: 8744304622     PISSN: 07339372     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9372(2004)130:10(1170)     Document Type: Article

References (36)

1. Ball, W. P., Buehler, T. C., Harmon, T. C., MacKay, D. M., and Roberts, P. V. (1990). "Characterization of a sandy aquifer material at the grain scale." J. Contam. Hydrol., 5(3), 253-295.
2. Başaǧaoǧlu, H., Ginn, T. R., McCoy, B. J., and Marino, M. A. (2000) "Linear driving force approximation to a radial diffusive model." AIChE J., 46(10), 2097-2105.
3. Başaǧaoǧlu, H., McCoy, B. J., Ginn, T. R., Loge, F. L., and Dietrich, J. P. (2002). "A diffusion limited sorption kinetics model with polydispersed particles of distinct sizes and shapes." Adv. Water Resour., 25(7), 755-772.
4. Bear, J. (1988). Dynamics of fluids in porous media, Dover, Mineola, N.Y.
5. Carta, G., and Bauer, J. S. (1990). "Analytical solution for chromatography with nonuniform sorbent particles." AIChE J., 36(1), 147-150.
6. Choy, K. K. H., Porter, J. F., and McKay, G. (2001). "A film-pore-surface diffusion model for the adsorption of acid dyes on activated carbon." Adsorption, 7(4), 305-317.
7. Chung, G-Y., McCoy, B. J., and Scow, K. M. (1993). "Criteria to assess when biodegradation is kinetically limited by intraparticle diffusion and sorption." Biotechnol. Bioeng., 41(6), 625-632.
8. Cooney, D. O., Adesenya, B. A., and Hines, A. L. (1983). "Effects of particle size distribution on adsorption kinetics in stirred batch systems." Chem. Eng. Sci., 38(9), 1535-1541.
9. Cunningham, J. A., Werth, J. C., Reinhard, M., and Roberts, P. V. (1997). "Effects of grain-scale mass transfer on the transport of volatile organics through sediments 1. Model development." Water Resour Res., 33(12), 2713-2726.
10. Dietrich, J. P., Başaǧaoǧlu, H., Loge, F. J., and Ginn, T. R. (2003). "Preliminary assessment of transport processes influencing the penetration of chlorine into wastewater particles and the subsequent inactivation of particle-associated organisms." Water Resour., 37(1), 139-149.
11. Dougharty, N. A. (1972). "Effect of adsorbent particle-size distribution in gas-solid chromatography." AIChE J., 18(3), 657-659.
12. Farrell, J., and Reinhard, M. (1994). "Desorption of hologenated organics from model solids, sediments, and soil under unsaturated conditions. 2. Kinetics." Environ. Sci. Technol., 28(1), 63-72.
13. Fong, K. F., and Mulkey, L. A. (1989). "Simulate of solute transport in aggregated media." AIChE J., 35(4), 670-672.
14. Gierke, J. S., Hutzler, N. J., and McKenzie, D. B. (1992). "Vapor transport in unsaturated soil columns: Implications for vapor extraction." Water Resour. Res., 28(2), 323-335.
15. Goto, M. and Hirose, T. (1993). "Approximate rate equation for intraparticle diffusion with or without reaction." Chem. Eng. Sci., 48(10), 1912-1915.
16. Goto, M., Smith, J. M., and McCoy, B. J. (1990). "Parabolic profile approximation (linear driving-force model) for chemical reactions." Chem. Eng. Sci., 45(2), 443-448.
17. Haggerty, R., and Gorelick, S. M. (1995). "Multiple-rate mass transfer for modeling diffusion and surface reactions in media with pore-scale heterogeneity." Water Resour. Res., 31(10), 2383-2400.
18. Harmon, T. C., and Roberts, P. V. (1994). "Comparison of intraparticle sorption and desorption rates for a halogenated aquifer in a sandy aquifer material." Environ. Sci. Technol., 28(9), 1650-1660.
19. Karapanagioti, H. K., Gossard, C. M., Strevett, K. A., Kolar, R. L., and Sabatini, D. A. (2001). "Model coupling intraparticle diffusion/sorption, nonlinear sorption, and biodegradation process." J. Contam. Hydrol., 48(1-2), 1-21.
20. Lu., P. Lannutti, K., Klobes, P., and Meyer, K. (2000). "X-ray computed tomography and mercury porosimetry for evaluation of density evolution and porosity distribution." J. Am. Ceram. Soc., 83(3), 518-522.
21. Lua, A. C., and Guo, J. (2001). "Adsorption of sulfur dioxide on activated carbon from oil-palm waste," J. Environ. Eng. 127(10), 895-901.
22. Meyers, J. J., Crosser, O. K., and Liapis, A. I. (2001). "Pore network modeling of affinity chromatography: Determination of the dynamic profiles of the pore diffusivity of β-Galactosidase and its effect on column performance as the loading of β-Galactosidase onto Anti-β-Galactosidase varies with time." J. Biochem. Biophys. Methods 49(1-3), 123-139.
23. Meyers, J. J., and Liapis A. I. (1998). "Network modeling of the intraparticle convection and diffusion of molecules in porous particles packed in a chromatographic column." J. Chromatogr. A, 827(2), 197-213.
24. Mihelcic, J. R., and Luthy, R. G. (1991). "Sorption and microbial degradation of naphthalene in soil-water suspensions under denitrification conditions." Environ. Sci. Technol., 25(1), 169-177.
25. Ng, C.-O. and Mei, C. C. (1996). "Aggregate diffusion model applied to soil vapor extraction in unidirectional and radial flows." Water Resour. Res., 32(5), 1289-1297.
26. Ni, C.-C., and San, J.-Y. (2000). "Mass diffusion in a spherical microporous particle with thermal effect and gas-side mass transfer resistance." Int. J. Heat Mass Transfer, 43(12), 2129-2139.
27. Papadopoulos, K. D., and Bailey, R. V. (1986). "Reaction-diffusion in suspended particle with limited supply of reactant." Ind. Eng. Chem. Fundam., 25(2), 303-305.
28. Pedit, J. A., and Miller, C. T. (1995). "Heterogeneous sorption processes in subsurface systems. 2. Diffusion modeling approaches." Environ. Sci. Technol., 29(7), 1766-1772.
29. Pignatello, J. J., and Xing, B. (1996). "Mechanism of slow sorption of organic chemicals to natural particles." Environ. Sci Technol. 30(1), 1-11.
30. Press, W., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1992). Numerical recipes in Fortran, the art of scientific computing, Cambridge University Press, New York.
31. Rasmuson, A., and Neretnieks, I. (1980) "Transport processes and conversion in an isothermal fixed-bed catalytic reactor." AIChE J., 26(4), 686-690.
32. Reyes, S., and Jensen, K. F. (1985). "Estimation of effective transport coefficients in porous solids based on percolation concepts." Chem. Eng. Sci., 40(9), 1723-1734.
33. Werth, C. J. and Reinhard M. (1997). "Effects of temperature on trichloroethylene desorption from silica gel and natural sediments, 1. Isotherms." Environ. Sci. Technol., 31(3), 689-696.
34. Yang, X-Y., and Al-Duri, B. (2001). "Application of branched pore diffusion model in the adsorption of reactive dyes on activated carbon." Chem. Eng. J., 83(1), 15-23.
35. Yiacoumi, S., and Tien, C. (1994). "A model of organic solute uptake from aqueous solutions by soils." Water Resour. Res. 30(2), 571-580.
36. Zheng, J., and Reed, J. S. (1992). "The different roles of forming and sintering on disinfection powder compacts." Am. Ceram. Soc. Bull., 71(9), 1410-1416.