A two-stage reaction with initially separated reactants

Physica A: Statistical Mechanics and its Applications

Volumn 256, Issue 1-2, 1998, Pages 65-86

  Cox, Stephen M ^a   Clifford, Michael J ^a   Roberts, E P L ^b  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Mixing; Reaction diffusion; Two stage reaction

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; MIXING; REACTION KINETICS;

TWO-STAGE REACTIONS;

CHEMICAL REACTIONS;

EID: 0032120989     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00091-0     Document Type: Article

References (26)

1. J. Baldyga, J.R. Bourne, A fluid mechanical approach to turbulent mixing and chemical reaction, Part II. Micromixing in the light of turbulence theory, Chem. Eng. Commun. 28 (1984) 259-281.
2. J. Baldyga, J.R. Bourne, A fluid mechanical approach to turbulent mixing and chemical reaction, Part III. Computational and experimental results for the new micromixing model, Chem. Eng. Commun. 28 (1984) 259-281.
3. J.R. Bourne, F. Kozicki, P. Rys, Mixing and fast chemical reaction - I. Test reactions to determine segregation, Chem. Eng. Sci. 36 (1981) 1643-1648.
4. F.J. Muzzio, P.D. Swanson, J.M. Ottino, The statistics of stretching and stirring in chaotic flows, Phys. Fluids A 3 (1991) 822-834.
5. I.M. Sokolov, A. Blumen, Diffusion-controled reactions in lamellar systems, Phys. Rev. A 43 (1991) 2714-2719.
6. I.M. Sokolov, A. Blumen, Reactions in systems with mixing, J. Phys. A 24 (1991) 3687-3700.
7. I.M. Sokolov, A. Blumen, Distribution of striation thicknesses in reacting lamellar systems, Phys. Rev. A 43 (1991) 6545-6549.
8. I.M. Sokolov, A. Blumen, Mixing effects in the A + B → 0 reaction-diffusion scheme, Phys. Rev. Lett. 66 (1991) 1942-1945.
9. I.M. Sokolov, A. Blumen, Diffusion-controlled reactions in nonstoichiometrical layered systems, Physica A 191 (1992) 177-181.
10. J.M. Ottino, The Kinematics of Mixing: Stretching, Chaos, and Transport, Cambridge University Press, Cambridge, 1989.
11. H. Taitelbaum, S. Havlin, J.E. Kiefer, B. Trus, G.H. Weiss, Some properties of the A+B → C reaction-diffusion system with initially separated components, J. Stat. Phys. 65 (1991) 873-891.
12. L. Gálfi, Z. Rácz, Properties of the reaction front in an A + B → C type reaction-diffusion process, Phys. Rev. A 38 (1988) 3151-3154.
13. S. Havlin, M. Araujo, H. Larralde, H.E. Stanley, P. Trunfio, Diffusion-controlled reaction, A + B → C, with initially separated reactants, Physica A 191 (1992) 143-152.
14. H. Larralde, M. Araujo, S. Havlin, H.E. Stanley, Reaction front for A+B → C diffusion-reaction systems with initially separated reactants, Phys. Rev. A 46 (1992) 855-859.
15. A. Schenkel, P. Wittwer, J. Stubbe, Asymptotics of solutions in an A+B → C reaction-diffusion system, Physica D 69 (1993) 135-147.
16. Z. Koza, The long-time behavior of initially separated A + B → 0 reaction-diffusion systems with arbitrary diffusion constants, J. Stat. Phys. 85 (1996) 179-191.
17. H. Taitelbaum, Y.-E.L. Koo, S. Havlin, R. Kopelman, G.H. Weiss, Exotic behavior of the reaction front in the A + B → C reaction-diffusion system, Phys. Rev. A 46 (1992) 2151-2154.
18. H. Taitelbaum, Segregation in reaction-diffusion systems, Physica A 200 (1993) 155-164.
19. Z. Koza, H. Taitelbaum, Motion of the reaction front in the A + B → C reaction-diffusion system, Phys. Rev. E 54 (1996) R1040-R1043.
20. H. Taitelbaum, B. Vilensky, A. Lin, A. Yen, Y.-E.L. Koo, R. Kopelman, Competing reactions with initially separated components, Phys. Rev. Lett. 77 (1996) 1640-1643.
21. F.J. Muzzio, J.M. Ottino, Dynamics of a lamellar system with diffusion and reaction: Scaling analysis and global kinetics, Phys. Rev. A 40 (1989) 7182-7192.
22. F.J. Muzzio, J.M. Ottino, Diffusion and reaction in a lamellar system: Self-similarity with finite rates of reaction, Phys. Rev. A 42 (1990) 5873-5884.
23. F.J. Muzzio, M. Liu, Chemical reactions in chaotic flows, Chem. Eng. J. 64 (1996) 117-127.
24. O. Levenspiel, Chemical Reaction Engineering, 2nd ed., Wiley, New York, 1972.
25. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1965.
26. W.F. Ames, Numerical methods for partial differential equations, 2nd ed., Academic Press, New York, 1977.