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Optimal Control of Step Growth Polymerizations

  • Santosh K. Gupta
  • Anil Kumar
Part of the The Plenum Chemical Engineering Series book series (PCES)

Abstract

In the earlier chapters, the simulation of step growth polymerization in ideal (batch, plug flow or homogeneous, continuous flow stirred tank) reactors has been discussed. In order to simulate real reactors, the effects of several factors like residence time distribution in a continuous flow stirred tank reactor (for the case of perfect macromixing, Section 2.8), recycle in a plug flow reactor (Section 2.7), mass transfer limitations (Chapter 5), etc., were also investigated. It was shown that these variables have considerable effect on the performance of the reactor. In this chapter, attention is focused on the optimal control and operation of ideal reactors (PFRs and HCSTRs). For a given residence time of a batch reactor or an HCSTR, the variables that can be independently changed (degrees of freedom) are (a) the time history of the reactor temperature and (b) feed composition. Optimal conditions for these independent (or control) variables are determined in this chapter for simple ARB systems in order to establish the principles used. Optimization of industrially important systems like nylon 6 or PET polymerization is discussed in later chapters.

Keywords

Batch Reactor Polymerization Reactor Monomer Concentration Plug Flow Reactor Monomer Conversion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    W. H. Ray and J. Szekely, Process Optimization ,1st ed., Wiley, New York (1973).Google Scholar
  2. 2.
    M. M. Denn, Optimization by Variational Methods ,1st ed., McGraw-Hill, New York (1969).Google Scholar
  3. 3.
    A. E. Bryson and Y. C. Ho, Applied Optimal Control ,1st ed., Blaisdell, Waltham, Massachusetts (1969).Google Scholar
  4. 4.
    L. Lapidus and R. Luus, Optimal Control of Engineering Processes ,1st ed., Blaisdell, Waltham, Massachusetts (1967).Google Scholar
  5. 5.
    A. Ramagopal, A. Kumar, and S. K. Gupta, Computational scheme for the calculation of molecular weight distributions for nylon-6 polymerization in homogeneous, continuous-flow stirred-tank reactors with continuous removal of water, Polym. Eng. Sci. 22, 849–856 (1982).CrossRefGoogle Scholar
  6. 6.
    J. Hicks, A. Mohan, and W. H. Ray, The optimal control of polymerization reactors, Can. J. Chem. Eng. 47, 590–597 (1969).CrossRefGoogle Scholar
  7. 7.
    W. H. Ray, Periodic operation of polymerization reactors, Ind. Eng. Chem., Proc. Des. Dev. 7, 422–426 (1968).CrossRefGoogle Scholar
  8. 8.
    C. K. Lee and J. E. Bailey, Influence of mixing on the performance of periodic chemical reactors, AIChE J. 20, 74–81 (1974).CrossRefGoogle Scholar
  9. 9.
    S. K. Gupta, S. Nath, and A. Kumar, Forced oscillations in CFSTRs with nonlinear step growth polymerization, J. Appl. Polym. Sci. 30, 557–569 (1985).CrossRefGoogle Scholar
  10. 10.
    G. R. Meira, Forced oscillations in continuous polymerization reactors and molecular weight distribution control. A survey, J. Macromol. Sci. Rev. Macromol. Chem. C 20(2), 207–241 (1981).Google Scholar
  11. 11.
    C. Kiparissides and S. R. Ponnuswamy, Hierarchial control of a train of continuous polymerization reactors, Can. J. Chem. Eng. 59, 752–759 (1981).CrossRefGoogle Scholar
  12. 12.
    T. A. Kenat, R. I. Kermode, and S. L. Rosen, Dynamics of a continuous stirred-tank polymerization reactor, Ind. Eng. Chem., Proc. Des. Dev. 6, 363–370 (1967).CrossRefGoogle Scholar
  13. 13.
    R. B. Warden and N. R. Amundson, Stability and control of addition polymerization reactions. A theoretical study, Chem. Eng. Sci. 17, 725–734 (1962).CrossRefGoogle Scholar
  14. 14.
    S. L. Liu and N. R. Amundson, Polymerization reactor stability, Z. Elektrochem. 65,276–282 (1961).Google Scholar
  15. 15.
    R. P. Goldstein and N. R. Amundson, Analysis of chemical reactor stability and control. Xa. Polymerization models in two immiscible phases in physical equilibrium; Xb. Poly-merization models in two immiscible phases with interphase heat and mass transfer resistances; XL Further considerations with polymerization models; XII. Special problems in polymerization models, Chem. Eng. Sci. 20,195–236,449–476, 477–499, 501–527 (1965).CrossRefGoogle Scholar
  16. 16.
    P. J. Hoftyzer and T. N. Zwietering, The characteristics of a homogenized reactor for the polymerization of ethylene, Chem. Eng. Sci. 14, 241–251 (1961).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • Santosh K. Gupta
    • 1
  • Anil Kumar
    • 1
  1. 1.Indian Institute of TechnologyKanpurIndia

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