Skip to main content
Log in

Application of complex reaction kinetic models in thermal analysis

The least squares evaluation of series of experiments

  • Kinetics
  • Published:
Journal of thermal analysis Aims and scope Submit manuscript

Abstract

The complexity of the phenomena which arise during the heating of the various substances seldom can be described by a single reaction kinetic equation. As a consequence, sophisticated models with several unknown parameters have to be developed. The determination of the unknown parameters and the validation of the models requires the simultaneous evaluation of whole series of experiments. We can accept a model and its parameters if, and only if we get a reasonable fit to several experiments carried out at different experimental conditions. In the field of the thermal analysis the method of least squares alone seldom can select abest model or abest set of parameter values. Nevertheless, the careful evaluation of the experiments may help in the discerning between various chemical or physical assumptions by the quality of the corresponding fit between the experimental and the simulated date. The problem is illustrated by the thermal de-composition of cellulose under various experimental conditions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Várhegyi, P. Szabó, W. S. L. Mok and M. J. Antal, Jr., J. Anal. Appl. Pyrol., 26 (1993) 159.

    Article  Google Scholar 

  2. G. Várhegyi, E. Jakab and M. J. Antal, Jr., Energy Fuels, 8 (1994) 1345.

    Article  Google Scholar 

  3. G. Várhegyi, P. Szabó and M. J. Antal, Jr., Biomass Bioenergy, 7 (1994) 69.

    Article  Google Scholar 

  4. M. J. Antal, Jr. and G. Várhegyi, Ind. Eng. Chem. Res., 34 (1995) 703.

    Article  Google Scholar 

  5. A. Broido and M. Weinstein, In Proc. 3rd Internat. Conf. Thermal Anal., Wiedemann, Ed., Birkhauser Verlag, Basel, 1971, pp. 285–296.

    Google Scholar 

  6. A. G. W. Bradbury, Y. Sakai and F. Shafizadeh, J. Appl. Polym. Sci., 23 (1979) 3271.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research program was funded by the National Science Foundation (grant INT 8914934), the US Hungarian Science and Technology Joint Fund (grants 90b-22 and 93b-375), the Hungarian National Research Fund (OTKA, grant 3077/91) and the Coral Industries Endowment.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Várhegyi, G., Antal, M.J., Szabó, P. et al. Application of complex reaction kinetic models in thermal analysis. Journal of Thermal Analysis 47, 535–542 (1996). https://doi.org/10.1007/BF01983995

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01983995

Keywords

Navigation