DOI: https://doi.org/10.26089/NumMet.v25r431

Averaging of the model of a chemical process in a catalyst layer with a spherical grain

Authors

  • Olga S. Yazovtseva
  • Irek M. Gubaydullin
  • Igor G. Lapshin

Keywords:

numerical methods
mathematical modeling
explicit-implicit scheme
the diffusion-reaction equation
unsteady process

Abstract

The article presents a comparative analysis of models of a non-stationary chemical process using the example of burning coke sedimentation from a catalyst layer with a spherical grain. The first model is obtained by averaging the heat conductivity equation for a spherical catalyst grain. The second is the averaging of the entire grain model, including the diffusion-reaction equations. The comparative analysis showed good consistency of the results under conditions of low concentrations of reagents, small catalyst grains and high process temperatures with a significant reduction in calculation time for the first model. It was found necessary to take into account intradiffusion inhibition at the case of a high reagent concentrations. It causes the occurrence of a concentration gradient along the radius of the catalyst grain at the initial stages of the process.

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Published

2024-10-22

Issue

Vol. 25 (2024): Issue 4.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Olga S. Yazovtseva

Steklov Mathematical Institute of RAS

• Researcher

Irek M. Gubaydullin

Institute of Petrochemistry and Catalysis of RAS

Ufa State Petroleum Technical University (USPTU)

• Professor, Head of Laboratory

Igor G. Lapshin

Ufa State Petroleum Technical University (USPTU)

• Researcher

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Copyright (c) 2024 О. С. Язовцева, И. М. Губайдуллин, И. Г. Лапшин

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