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Linked References

1. J. Baldyga and J. R. Bourne, “Interactions between mixing on various scales in stirred tank reactors,” Chemical Engineering Science, vol. 47, no. 8, pp. 1839–1848, 1992. View at Scopus
2. J. Baldyga and J. R. Bourne, Turbulent Mixing and Chemical Reactions, Wiley, Chichester, UK, 1999.
3. J. Bałdyga and R. Pohorecki, “Turbulent micromixing in chemical reactors—a review,” The Chemical Engineering Journal and the Biochemical Engineering Journal, vol. 58, no. 2, pp. 183–195, 1995. View at Scopus
4. J. Bałdyga, J. R. Bourne, and S. J. Hearn, “Interaction between chemical reactions and mixing on various scales,” Chemical Engineering Science, vol. 52, no. 4, pp. 457–466, 1997. View at Publisher · View at Google Scholar · View at Scopus
5. S. Bhattacharya, Performance improvement of stirred tank reactors with surface feed [Ph.D. thesis], University of Alberta, Alberta, Canada, 2005.
6. M. J. Clifford, “A Gaussian model for reaction and diffusion in a lamellar structure,” Chemical Engineering Science, vol. 54, no. 3, pp. 303–310, 1999. View at Publisher · View at Google Scholar · View at Scopus
7. M. J. Clifford and S. M. Cox, “Simple model for a two-stage chemical reaction with diffusion,” IMA Journal of Applied Mathematics, vol. 63, no. 3, pp. 307–318, 1999. View at Scopus
8. M. J. Clifford, E. P. L. Roberts, and S. M. Cox, “The influence of segregation on the yield for a series-parallel reaction,” Chemical Engineering Science, vol. 53, no. 10, pp. 1791–1801, 1998. View at Publisher · View at Google Scholar · View at Scopus
9. M. J. Clifford, S. M. Cox, and E. P. L. Roberts, “Lamellar modelling of reaction, diffusion and mixing in a two-dimensional flow,” Chemical Engineering Journal, vol. 71, no. 1, pp. 49–56, 1998. View at Publisher · View at Google Scholar · View at Scopus
10. M. J. Clifford, S. M. Cox, and E. P. L. Roberts, “Reaction and diffusion in a lamellar structure: the effect of the lamellar arrangement upon yield,” Physica A, vol. 262, no. 3-4, pp. 294–306, 1999. View at Scopus
11. M. J. Clifford, S. M. Cox, and E. P. L. Roberts, “The influence of a lamellar structure upon the yield of a chemical reaction,” Chemical Engineering Research and Design, vol. 78, no. 3, pp. 371–377, 2000. View at Publisher · View at Google Scholar · View at Scopus
12. S. Cornell and M. Droz, “Exotic reaction fronts in the steady state,” Physica D, vol. 103, no. 1–4, pp. 348–356, 1997. View at Scopus
13. S. M. Cox, “Chaotic mixing of a competitive-consecutive reaction,” Physica D, vol. 199, no. 3-4, pp. 369–386, 2004. View at Publisher · View at Google Scholar · View at Scopus
14. S. M. Cox and M. D. Finn, “Behavior of the reaction front between initially segregated species in a two-stage reaction,” Physical Review E, vol. 63, no. 5, Article ID 051102, 7 pages, 2001. View at Scopus
15. S. M. Cox, M. J. Clifford, and E. P. L. Roberts, “A two-stage reaction with initially separated reactants,” Physica A, vol. 256, no. 1-2, pp. 65–86, 1998. View at Scopus
16. R. O. Fox, “On the relationship between Lagrangian micromixing models and computational fluid dynamics,” Chemical Engineering and Processing, vol. 37, no. 6, pp. 521–535, 1998. View at Publisher · View at Google Scholar · View at Scopus
17. R. O. Fox, Computational Models for Turbulent Reacting Flows, Cambridge University Press, Cambridge, UK, 2003.
18. I. Hecht and H. Taitelbaum, “Perturbation analysis for competing reactions with initially separated components,” Physical Review E, vol. 74, no. 1, Article ID 012101, 2006. View at Publisher · View at Google Scholar · View at Scopus
19. O. Levenspiel, Chemical Reaction Engineering, Wiley, New York, NY, USA, 2 edition, 1972.
20. F. J. Muzzio and M. Liu, “Chemical reactions in chaotic flows,” The Chemical Engineering Journal and the Biochemical Engineering Journal, vol. 64, no. 1, pp. 117–127, 1996. View at Scopus
21. G. K. Patterson, E. L. Paul, S. M. Kresta, and A. W. Etchells, “Mixing and Chemical Reactions,” in Handbook of Industrial Mixing—Science and Practice, E. L. Paul, V. A. Atiemo-Obeng, and S. M. Kresta, Eds., Wiley, Hoboken, NJ, USA, 2004.
22. M. Sinder, “Theory for competing reactions with initially separated components,” Physical Review E, vol. 65, no. 3, Article ID 037104, 4 pages, 2002. View at Publisher · View at Google Scholar · View at Scopus
23. M. Sinder, J. Pelleg, V. Sokolovsky, and V. Meerovich, “Competing reactions with initially separated components in the asymptotic time region,” Physical Review E, vol. 68, no. 2, Article ID 022101, 4 pages, 2003. View at Scopus
24. H. Taitelbaum, B. Vilensky, A. Lin, A. Yen, Y. E. L. Koo, and R. Kopelman, “Competing reactions with initially separated components,” Physical Review Letters, vol. 77, no. 8, pp. 1640–1643, 1996. View at Scopus
25. J. Villermaux and L. Falk, “A generalized mixing model for initial contacting of reactive fluids,” Chemical Engineering Science, vol. 49, no. 24, pp. 5127–5140, 1994. View at Scopus
26. S. I. A. Shah, L. W. Kostiuk, and S. M. Kresta, “The effects of mixing, reaction rate and stoichiometry on yield for mixing sensitive reactions part I: model development,” International Journal of Chemical Engineering, vol. 2012, Article ID 750162, 16 pages, 2012. View at Publisher · View at Google Scholar