Перейти до основного вмісту
Modeling of adsorption and value of carbohydrates in nanopore catalytic zeolite
Petryk Myhaylo 1 , Boyko Igor 1 , Petryk Oksana 2 , Fraissard J. 3
1 Department of software engineering, Ternopil Ivan Puluj National Technical University, Ternopil, 46001, Ukraine
2 Department of computer systems and networks, Ternopil Ivan Puluj National Technical University, Ternopil, 46001, Ukraine
3 Sorbonne University, Paris, 75000, France
Keywords: Heaviside’s operational method, Laplace integral transform.
Abstract
The theoretical bases of mathematical modeling of nonisothermal adsorbtion and desorbtion in nanoporous catalytic zeolite media for the Langmuir’s nonlinear isotherm are given. They most fully determine the mechanism of adsorption equilibrium for nanoporous systems of ZSM-5 zeolite. The effective scheme of linearization of a nonlinear model is implemented. High-speed analytical solutions of the system of linearized boundary problems of adsorption and desorption in nanoporous media are justified and obtained using the Heviside’s operational method.
References

[1] Euro 5 and Euro 6 standards: reduction of pollutant emissions from light vehicles. Available at: europa.eu/legislation_summaries/environment/ air_pollution/l28186_es.htm (May 5, 2010).

[2] Horizon 2020 (LC-SC3-NZE 1-2018); https://ec.europa.eu/research/participants/portal/

[3] Fig. 5: Dependence of temperature inside the sampleT = T(t,z) on time for fixed values z (z/z0 = 0,25; 0,5 : 0,75)

desktop/en/opportunities/h2020/topics/ict-012019.html

[4] Puertolas B., Navarro M.V., Lopez J.M., Murillo R., Mastral A.M., Garcia T. Modelling the heat and mass transfers of propane onto a ZSM-5 zeolite. Separation and Purification Technology. 2012, 86,127-36.

https://doi.org/10.1016/j.seppur.2011.10.036

[5] Barrer,R.M.,DiffusionandFlowinPorousZeolite, Carbon or Ceramic Media, Characterization of Porous Solids, Society of Chemical Industry, London, 1979

[6] Kärger J. and Ruthven D. Diffusion in Zeolites and Other Microporous Solids, John Wiley & Sons, New York, 1992, 605 p.

[7] Kärger J., Ruthven D., Theodorou D. Diffusion in Nanoporous Materials, John Wiley & Sons, Hoboken, 2012, 660 p.

https://doi.org/10.1002/9783527651276

[8] Chen, N.Y., Degnan T.F. and Smith M.C. Molecular Transport and Reaction in Zeolites: Design and Application of Shape Selective Catalysis, Wiley-VCH, New York, 1994, 510 p.

[9] Mulero A., Cuadros F. Isosteric heat of adsorption for monolayers of Lennard-Jones fluids onto flat surfaces. Chemical Physics. 996, 205, 379388.

https://doi.org/10.1016/0301-0104(95)00432-7

[10] Prudnikov A.P., Brichkov Yu.A. Marychev O.I. Integrals and series. Additional chapters, Nauka, Moscow, 1986, 800 p.

[11] Petryk M. Mathematical Modeling of Nonlinear Non-isothermic Process of Diffusion and Adsorption in Compressed Layer of Adsorbent. Integral Transformations and Application in Boundary Problems. Bulletin of Institute of Mathematics. National Academy of Sciences of Ukraine. Kyiv, 1994, 6, 151-64.

[12] Petryk M., Parafeinyk V., Kruchnevytch T., Zeria A. The gas dehydration block of NGV filling stations BCV 250. Chemical Technology. Naukova Dumka. 1988, 6, 59-61.

[13] Sergienko I., Petryk M., Khimith O.N., MykhalykD.,LeclercS.,FraissardJ.MathematicalModellingofDiffusionProcessinMicroporous Media (Numerical analysis and application). National Academy of Sciences of Ukraine. Kyiv, 2014, 196 p.

[14] Heaviside O. Electromagnetic Theory. The Electrician. Vo1. 1-3. London, E.C. 1893.

[15] Lavrentiev M.A., Shabat B.V. Methods of theory of functions of a complex variable. M. Nauka, 1987, 736 p.

[16] Petryk M., Leclerc S., D. Canet, Sergienko I.V., Deineka V.S., Fraissard J. The Competitive Diffusion of Gases in a zeolite bed: NMR and Slice Procedure, Modelling anmd Identification of Parameters. The Journal of Physical Chemistry C. ACS, 2015,119 (47), 26519-26525.

https://doi.org/10.1021/acs.jpcc.5b07974

[17] Petryk M., Vorobiev E. Liquid Flowing from Porous particles During the Pressing of BiologicalMaterials.Computer&Chem.Eng.,2007,31, 1336-1345.

https://doi.org/10.1016/j.compchemeng.2006.12.011

Cite
ACS Style
Petryk, M.; Boyko, I.; Petryk, O.; Fraissard , J. Modeling of adsorption and value of carbohydrates in nanopore catalytic zeolite. Bukovinian Mathematical Journal. 2019, 6 https://doi.org/https://doi.org/10.31861/bmj2018.03.107
AMA Style
Petryk M, Boyko I, Petryk O, Fraissard J. Modeling of adsorption and value of carbohydrates in nanopore catalytic zeolite. Bukovinian Mathematical Journal. 2019; 6(3-4). https://doi.org/https://doi.org/10.31861/bmj2018.03.107
Chicago/Turabian Style
Myhaylo Petryk, Igor Boyko, Oksana Petryk, J. Fraissard . 2019. "Modeling of adsorption and value of carbohydrates in nanopore catalytic zeolite". Bukovinian Mathematical Journal. 6 no. 3-4. https://doi.org/https://doi.org/10.31861/bmj2018.03.107
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings