Skip to main content
SpringerLink
Log in

A mathematical model of the viscosity of dilute solutions of rigid-chain polymers

  • Published:
Fibre Chemistry Aims and scope

Conclusions

A procedure has been developed for identifying and discriminating between competing viscosity models from experimental data, plus a complex of programs for identifying models and discriminating between competing hypotheses.

For the systems poly-p-phenyleneterephthalmaide-sulfuric acid (96.3 or 99.3%), the best results in prediction were given by the Martin model [K5=0.435 (0.36)] and the Budatov model [K7=0.16 (0.21)]; the temperature for both of the investigated systems was 274.25°K.

In the investigated concentration region, a linear dependence is observed between ηsp and [η], which is convenient for transition from specific viscosity to inherent viscosity. Adequate equations for expressing this relationship have been obtained from the experimental data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. A. A. Berlin, S. A. Vol'fson, and N. S. Enikolopyan, in: Kinetics of Polymerization Processes [in Russian], Khimiya, Moscow (1978), 201 pp.

    Google Scholar 

  2. A. Tager, in: The Physical Chemistry of Polymers, third ed. [in Russian], Khimiya, Moscow (1978).

    Google Scholar 

  3. M. L. Huggins, Ind. Eng. Chem., 35, 980 (1943).

    Google Scholar 

  4. A. F. Martin, Am. Chem. Soc. Meeting, Memphis (1942), discussed by M. L. Huggins in Cellulose and Cellulose Derivatives, High Polymer, Vol. 5, E. Ott, editor, New York (1943), p. 966.

  5. V. N. Budtov, Mekh. Polim., No. 1, 172 (1976).

  6. T. D. Varma and M. Sengupta, J. Appl. Polym. Sci., 15, No. 7, 1599 (1971).

    Google Scholar 

  7. I. I. Tverdokhlebova. Polymer Conformation: Viscosimetric Method of Estimation [in Russian], Khimiya, Moscow (1981).

    Google Scholar 

  8. M. Doi, J. Polym. Sci., Polym. Phys. Ed., 18, No. 5, 1005 (1980).

    Google Scholar 

  9. S.Yu. Gusnin et al., Minimization in Engineering Calculations on Computers [in Russian], Mashinostroenie, Moscow (1981).

    Google Scholar 

  10. V. V. Fedorov, Optimum Experiment Theory (Planning Regression Experiments) [in Russian], Fizmatizdat, Moscow (1971).

    Google Scholar 

  11. D. Hudson, Statistics for Physicists [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  12. D. Himmelblau, Analysis of Processes by Statistical Methods [Russian translation], Mir, Moscow (1973).

    Google Scholar 

  13. V. E. Dreval', T. O. Botvinnik, A. Ya. Malkin, and A. A. Tager, Mekh. Polim., No. 6, 1110 (1972).

Download references

Authors
  1. T. A. Roven'kova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. P. Babushkina
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. I. Koretskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. L. V. Zhuravlev
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. G. I. Kudryavtsev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Khimicheskie Volokna, No. 2, pp. 20–24, March–April, 1985.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Roven'kova, T.A., Babushkina, M.P., Koretskaya, A.I. et al. A mathematical model of the viscosity of dilute solutions of rigid-chain polymers. Fibre Chem 17, 109–115 (1985). https://doi.org/10.1007/BF00543468

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00543468

Keywords

Search

Navigation