Analysis of dead-core formation in catalytic reaction and diffusion processes with generalized diffusion flux

Piotr Skrzypacz, Bek Kabduali, Alua Kadyrbek, Sławomir Szafert, Vsevolod Andreev, Boris Golman

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Dead-core and non-dead-core solutions to the nonlinear diffusion–reaction equation based on the generalized diffusion flux with gradient-dependent diffusivity and the power-law reaction kinetics in catalyst slabs are established. The formation of dead zones where the reactant concentration vanishes is characterized by the critical Thiele modulus that is derived as a function of reaction order and diffusion exponent in the generalized diffusion flux. The effects of reaction order and diffusion exponent on the reactant concentration distribution in the slab and dead-zone length are analyzed. It is particularly demonstrated that by contrast to the model based on the standard Fick’s diffusion, dead-core solutions exist in the case of first-order reactions. Also, the relationship between critical Thiele moduli for models based on the generalized and standard Fick’s diffusion fluxes is established.

Original languageEnglish
Article number22439
JournalScientific Reports
Volume12
Issue number1
DOIs
Publication statusPublished - Dec 2022

ASJC Scopus subject areas

  • General

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