Technical Physics

, Volume 53, Issue 2, pp 146–153 | Cite as

Control of chemoconvective Structures in a slab reactor

Theoretical and Mathematical Physics

Abstract

The object of investigation is dissipative strictures spontaneously arising in a two-layer system of reacting liquids placed in a narrow gap between two hard finite-conductivity plates. A mathematical model of this phenomenon includes a set of reaction, diffusion, and convection equations written in the Hele-Show cell approximation. Numerical analysis of the model shows that an exothermal reaction going near the interface generates a regular chemoconvective structure. The feasibility of controlling these structures by locally varying the thermal conductivity of the reactor walls is considered. The efficiency of such a control is discussed, and comparison with experimental data is made.

PACS numbers

47.70.Fw 47.70.-n 47.20.Bp 

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References

  1. 1.
    G. Quincke, Ann. Phys. (Leipzig) 35, 580 (1888).ADSGoogle Scholar
  2. 2.
    T. S. Sherwood and J. C. Wei, Ind. Eng. Chem. 49, 1030 (1957).CrossRefGoogle Scholar
  3. 3.
    P. J. Thomson, W. Batey, and R. J. Watson, Inst. Chem. Eng. Symp. Ser. 88, 231 (1984).Google Scholar
  4. 4.
    D. Avnir and M. L. Kagan, Chaos 5, 589 (1995).ADSCrossRefGoogle Scholar
  5. 5.
    S. A. Ermakov, A. A. Ermakov, O. N. Chupakhin, and D. V. Vaisson, Chem. Eng. J. 84, 321 (2001).CrossRefGoogle Scholar
  6. 6.
    A. M. Kutepov, B. G. Pokusaev, D. A. Kazenin, et al., Teor. Osn. Khim. Tekhnol. 35, 227 (2001).Google Scholar
  7. 7.
    S. P. Karlov, D. A. Kazenin, and A. V. Vyazmin, Physica A 315, 307 (2002).CrossRefGoogle Scholar
  8. 8.
    E. Ruckenstein and C. Berbente, Chem. Eng. Sci. 19, 329 (1964).CrossRefGoogle Scholar
  9. 9.
    Yu. A. Buyevich, L. M. Rabinovich, and A. V. Vyazmin, J. Colloid Interface Sci. 157, 211 (1993).CrossRefGoogle Scholar
  10. 10.
    K. Eckert and A. Grahn, Phys. Rev. Lett. 82, 4436 (1999).ADSCrossRefGoogle Scholar
  11. 11.
    K. Eckert, M. Acker, and Y. Shi, Phys. Fluids 16, 385 (2004).MathSciNetADSCrossRefGoogle Scholar
  12. 12.
    D. A. Bratsun, Y. Shi, K. Eckert, and A. De Wit, Europhys. Lett. 69, 746 (2005).ADSCrossRefGoogle Scholar
  13. 13.
    D. A. Bratsun and A. De Wit, Phys. Fluids 16, 1082 (2004).ADSCrossRefGoogle Scholar
  14. 14.
    A. A. Nepomnyashchy and I. B. Simanovskii, Eur. J. Mech. B/Fluids 20, 75 (2001).MATHCrossRefGoogle Scholar
  15. 15.
    A. De Wit and G. M. Homsy, J. Chem. Phys. 110, 8663 (1999).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.Perm State Pedagogical UniversityPermRussia
  2. 2.Free University of BrusselsBrusselsBelgium

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