The formation of dead zones in nonisothermal porous catalyst with temperature-dependent diffusion coefficient

Vsevolod V. Andreev, Piotr Skrzypacz, Boris Golman

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This paper considers the formation of dead zones in the porous catalyst pellets due to the chemical reaction and diffusion. We established and investigated the model with nonisothermal reaction of fractional order and activated temperature-dependent diffusivity. The effects of process parameters, catalyst shape, and reaction and diffusion parameters on the formation of the dead zone are studied numerically and characterized by the critical Thiele modulus. The lower bounds for the critical Thiele modulus are derived analytically in terms of process parameters for exothermic and endothermic reactions and verified numerically. The critical Thiele modulus increases with increasing Arrhenius number for diffusion and decreasing Arrhenius number for reaction in the case of exothermic reactions, whereas the opposite trends hold for the endothermic reactions. The critical Thiele modulus also increases with increasing fractional reaction order as well as with decreasing energy generation function, and increasing Biot numbers for heat and mass transfer. Moreover, the critical Thiele modulus is the highest for spherical pellets and the lowest for pellets with planar shape.

Original languageEnglish
Pages (from-to)711-722
Number of pages12
JournalInternational Journal of Chemical Kinetics
Issue number9
Publication statusPublished - Sep 2019


  • catalyst pellet
  • critical Thiele modulus
  • dead zone
  • power-law kinetics
  • temperature-dependent diffusion

ASJC Scopus subject areas

  • Biochemistry
  • Physical and Theoretical Chemistry
  • Organic Chemistry
  • Inorganic Chemistry

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