ANALYSIS OF DEAD CORE FORMATION IN CATALYTIC REACTION AND DIFUSION PROCESSES WITH GENERALIZED DIFUSION FUX

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dc.contributor.authorSkrzypacz, Piotr
dc.contributor.authorKabduali, Bek
dc.contributor.authorKadyrbek, Alua
dc.contributor.authorSzafert, Sławomir
dc.contributor.authorAndreev, Vsevolod
dc.contributor.authorGolman, Boris
dc.date.accessioned2023-03-26T17:47:32Z
dc.date.available2023-03-26T17:47:32Z
dc.date.issued2022
dc.description.abstractDead-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.en_US
dc.identifier.citationSkrzypacz, 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/s41598-022-26786-8en_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/6973
dc.language.isoenen_US
dc.publisherScientific Reportsen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectType of access: Open Accessen_US
dc.subjectdead-core solutionsen_US
dc.subjectnon-dead-core solutionsen_US
dc.titleANALYSIS OF DEAD CORE FORMATION IN CATALYTIC REACTION AND DIFUSION PROCESSES WITH GENERALIZED DIFUSION FUXen_US
dc.typeArticleen_US
workflow.import.sourcescience

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