An unreacted shrinking core model for calcination and similar solid-to-gas reactions

Amirpiran Amiri*, Gordon D. Ingram, Nicoleta E. Maynard, Iztok Livk, Andrey V. Bekker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A variation on the unreacted shrinking core model has been developed for calcination and similar non-catalytic solid-to-gas decomposition reactions in which no gaseous reactant is involved and the reaction rate decreases with increasing product gas concentration. The numerical solution of the model has been validated against an analytical solution for the isothermal case. The model parameters have been tuned using literature data for the thermal dehydration (calcination) of gibbsite to alumina over a wide range of temperatures, from 490 to 923 K. The model results for gibbsite conversion agreed well with the published experimental data. A reaction order with respect to water vapor concentration of n = −1 was found to give a good fit to the data and yield activation energies consistent with literature values. Predictions of the non-isothermal unreacted shrinking core model compare well with a more complex distributed model developed previously by the authors.

Original languageEnglish
Pages (from-to)1161-1175
Number of pages15
JournalChemical Engineering Communications
Issue number9
Publication statusPublished - Sept 2015


  • alumina production
  • calcination
  • Gibbsite calcination kinetics
  • shrinking core model


Dive into the research topics of 'An unreacted shrinking core model for calcination and similar solid-to-gas reactions'. Together they form a unique fingerprint.

Cite this