Fractal diffusion model used for diffusion in porous material within limited volume of stiff container

Chemical Engineering Science

Volumn 64, Issue 6, 2009, Pages 1318-1325

  Wang, Sheng ^a   Ma, Zheng fei ^a   Yao, Hu qing ^a  

^a NANJING TECH UNIVERSITY   (China)

Author keywords

Alumina; Adsorption; Diffusion; Fractal medium; Limited volume of stiff container; Model

Indexed keywords

ADSORPTION; CONTAINERS; FRACTALS; MATERIALS; POROSITY; POROUS MATERIALS;

ADSORPTION KINETICS; ADSORPTION PROCESS; DIFFUSION PROCESS; DIFFUSIVITIES; EIGEN FUNCTION EXPANSIONS; EXPERIMENTAL CURVES; EXPERIMENTAL DATUM; FICK'S MODELS; FRACTAL DIFFUSIONS; FRACTAL MEDIUM; LIMITED VOLUME OF STIFF CONTAINER; MODEL; PRE-EXPONENTIAL FACTORS; QUALITATIVE DIFFERENCES; THEORETICAL SOLUTIONS;

DIFFUSION;

EID: 59349092686     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2008.11.016     Document Type: Article

References (17)

1. Ben-Avraham D., and Havlin S. Diffusion on percolation clusters at criticality. Journal of Physics A: Mathematical and General 15 (1982) L691-L697
2. Crank J. The Mathematics of Diffusion (1956), Oxford University Press, London
3. Everett D.H. Manual of symbols and terminology for physicochemical quantities and units, appendix II: definitions terminology and symbols in colloid and surface chemistry. Pure and Applied Physics 31 (1972) 577-638
4. Garg D.R., and Ruthven D.M. The effect of the concentration dependence of diffusivity on zeolitic sorption curves. Chemical Engineering Science 27 2 (1972) 417-423
5. Giona M. First-order reaction-diffusion kinetics in complex fractal media. Chemical Engineering Science 47 6 (1992) 1503-1515
6. Giona M., and Roman H.E. Fractional diffusion equation for transport phenomena in random media. Physica A: Statistical Mechanics and its Applications 185 (1992) 87-97
7. Giona M., Schwalm W.A., Schwalm M.K., and Adrover A. Exact solution of linear transport equations in fractal media-I. Renormalization analysis and general theory. Chemical Engineering Science 51 20 (1996) 4717-4729
8. Giona M., Schwalm W.A., Schwalm M.K., and Adrover A. Exact solution of linear transport equations in fractal media-II. Diffusion and convection. Chemical Engineering Science 51 20 (1996) 4731-4744
9. Giona M., Adrover A., Schwalm W.A., and Schwalm M.K. Exact solution of linear transport equations in fractal media-III. Adsorption and chemical reaction. Chemical Engineering Science 51 22 (1996) 5065-5076
10. Havlin S., and Ben-Avraham D. Diffusion in disordered media. Advances in Physics 51 1 (2002) 187-292
11. Metzler R., Glöckle W.G., and Nonnenmacher T.F. Fractional model equation for anomalous diffusion. Physica A Statistical Mechanics and its Applications 211 1 (1994) 13-24
12. Narahari Achar B.N., and Hanneken John W. Fractional radical diffusion in a cylinder. Journal of Molecular Liquids 114 (2004) 147-151
13. O'Shaugnessy B., and Procaccia I. Analytical solutions for diffusion in fractal media. Physical Review Letters 54 (1985) 455-458
14. Pfeifer P., Obert M., and Cole M.W. Fractals in the Nature Science (1990), Princeton University Press, NJ
15. Ruthven D.M. Sorption kinetics for diffusion-controlled systems with a strongly concentration-dependent diffusivity. Chemical Engineering Science 59 21 (2004) 4531-4545
16. Wang F.M., and Li S.F. Determination of the surface fractal dimension for porous media by capillary condensation. Industrial & Engineering Chemistry Research 36 (1997) 1598-1602
17. Xin H.W. Reaction Kinetics in Fractal Media (1997), Shanghai Scientific & Technological Education Press, Shanghai