Mathematical modeling of non-isothermal adsorption mass transfer in nanoporous catalysts
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 77, Issue 1
Abstract
The mathematical model of non-isothermal adsorption mass transfer in micro- and nanopores of intraparticle and interparticle spaces catalytic media, which considers effect of temperature during adsorption process, has been considered. The paper is based on the results of previously proposed bi-porous model and takes into account dependence of diffusion and flow temperature changes of environment on concentration profiles of adsorbed components in interparticle space of micro- and nano poreus of crystallites, which is a limiting factor of adsorption process. Mathematical model consists of a system of three partial differential equations, the first equation describing material balance in the interparticle space (gas phase), the second equation describing diffusion heat balance in the media and the third equation is a internal kinetic equation, which establishes connection between gas and solid phases based on the Langmuir-Hinshelwood balance equation. Solution of non-isothermal mass transfer adsorption model is built with the Laplace’s and Fourier’s integral transformations. Obtained analytical solution of model has the advantage over numerical solution due to a significant reduction in the number of iterations that is crucial for use gradients methods of identification to solve problems of kinetic parameters determination from experimental distributions. Numerical model of concentration profiles in micropores particles at different values of temperature as a function of layer thickness coordinate for different moments from the beginning of the adsorption process has been presented. Having analyzed the graphs we see that the concentrations of benzene in the middle of nanopore particles of adsorbent increases from the middle to the edge, and the value depends on the temperature. Thus for different temperatures, characteristics of concentration profiles are the same.
Authors and Affiliations
Mykhaylo Petryk
Keywords
Related Articles
- EP ID EP572088
- DOI -
- Views 34
- Downloads 0
Simulation of temperature field in a partially delaminated thermal barrier coating
The problem of determining temperature in a thin partially delaminated thermal barrier coating is considered taking into account the convective heat exchange with the surrounding environment at the front and end surfaces...
Numerical modeling of complex two-level masstransfer in media of microporous particles taking advantage of the Crank-Nicolson method
Numerical solution for mathematical model of two-component diffusion in catalytic porous particles media has been proposed. The work is based on the results of previously proposed bi-porous model and considers diffusion...
Influence of thermal heterogeneity on deformation of thin circular cylindrical shell
Thermal deformation of the long cylindrical shell which is taking place in an external temperature field is considered. It is supposed that the material of the shell is heterogeneous, which results in dependence of facto...
Electrochemical method of control OF in-service degradation OF the marine portal cranes steels mechanical properties
At the assessment of the technical state of marine port structures it is important not only to detect in-service damages, but also to evaluate current physico-mechanical properties of the long-term operated steels. The p...
Influence of threshing drum's disbalance in combine harvester on its vibration
In this paper research of threshing drum’s disbalance in combine harvester is presented. Modern threshing drum of tangential type in combine harvester are made open. Central and extreme disks are mounted on the cylinder...