ANALYSIS OF DEAD CORE FORMATION IN CATALYTIC REACTION AND DIFUSION PROCESSES WITH GENERALIZED DIFUSION FUX
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Date
2022
Authors
Skrzypacz, Piotr
Kabduali, Bek
Kadyrbek, Alua
Szafert, Sławomir
Andreev, Vsevolod
Golman, Boris
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Reports
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.
Description
Keywords
Type of access: Open Access, dead-core solutions, non-dead-core solutions
Citation
Skrzypacz, P., Kabduali, B., Kadyrbek, A., Szafert, S., Andreev, V. V., & Golman, B. (2022). Analysis of dead-core formation in catalytic reaction and diffusion processes with generalized diffusion flux. Scientific Reports, 12(1). https://doi.org/10.1038/s41598-022-26786-8