Skrzypacz, PiotrKabduali, BekKadyrbek, AluaSzafert, SławomirAndreev, VsevolodGolman, Boris2023-03-262023-03-262022Skrzypacz, 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/s41598-022-26786-8http://nur.nu.edu.kz/handle/123456789/6973Dead-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.enAttribution-NonCommercial-ShareAlike 3.0 United StatesType of access: Open Accessdead-core solutionsnon-dead-core solutionsArticle