dc.contributor.author | Assaubay, Al-Tarazi | |
dc.date.accessioned | 2021-06-09T10:19:57Z | |
dc.date.available | 2021-06-09T10:19:57Z | |
dc.date.issued | 2021-05 | |
dc.identifier.citation | Assaubay, A. (2021). Modeling and Numerical Analysis of Dead-Core Phenomena in Chemical Reactor Engineering (Unpublished master`s thesis). Nazarbayev University, Nur-Sultan, Kazakhstan | en_US |
dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/5459 | |
dc.description.abstract | Diffusion-reaction processes in chemical reactors are often modelled by differential equations of diffusion-reaction type that describe the change in time and space of concentrations of chemical species. In this work, dead-core phenomena, i.e. depleting of chemical species due to the strong catalytic reactions, are studied analytically and numerically for single reactions with power-law kinetics of fractional order. In the first part of this work, dead-core phenomena are presented for 1-D diffusion-reaction problems for catalytic pellets. The point-wise convergence of the classical solution of non-stationary problems to the solution of the steady-state limit is shown analyti cally which constitutes the basis for the construction of an appropriate time-marching scheme to solve numerically stationary diffusion-reaction problems. In the second part of this work, 2-D reactor problems are studied. The spatial discretization is based on Finite Element Method (FEM) where the modified Crank-Nicolson method is used for the time-marching approach. The developed numerical scheme is implemented in MATLAB using Partial Differential Toolbox (PDE Toolbox). The simulation re sults confirm the theoretical predictions. Also, the phenomenon of dead-cores at the boundary is studied numerically for the model of chemical reactor with a catalytic membrane. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Nazarbayev University School of Sciences and Humanities | en_US |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/us/ | * |
dc.subject | Type of access: Embargo | en_US |
dc.subject | dead-core phenomena | en_US |
dc.subject | Chemical Reactor Engineering | en_US |
dc.title | MODELING AND NUMERICAL ANALYSIS OF DEAD-CORE PHENOMENA IN CHEMICAL REACTOR ENGINEERING | en_US |
dc.type | Master's thesis | en_US |
workflow.import.source | science |
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