519.7

High-performance computing, nanoporous systems,;masstransfer, spherical moisture-saturated microporous particles, numerical methods.

The article considers the use an analytical and numerical approaches for finding solutions of mathematical model of diffusion mass transfer in the medium of particles of microporous structure. The special software developed based on both approaches and these software were used for computer simulation of pressures in particles and interparticle space for spatial and temporal parameters of the filtration process, and the results were compared taking into account their accuracy and speed of production. Considered algorithms showed approximately the same accuracy in finding the pressure profiles. Analytical solution-based software has demonstrated the higher efficiency for calculating unit pressure values at given parameters, in turn, numerical techniques have been found to be convenient for building high-resolution profiles.

1. Petryk M., Vorobiev E. Liquid Flowing from Porous particles During the Pressing of Biological Materials. Computer & Chem. Eng. Elsevier Irland. Issue 31. 2007. Р. 1336–1345.
2. Sergienko I., Petryk M., Khimich A., Mykhalyk D., Leclerc S., Fraissard J. Matematychne modeliuvannia masoperenosu v seredovyshchakh chastynok nanoporystoi struktury. Natsionalna akademiia nauk Ukrainy, Kyiv., 2014, 196 p. [In Ukrainian].
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4. Petryk M., Mykhalyk D., Petryk O., Kordiak I. Identyfikatsiia koefitsiientiv konsolidatsii protsesu vidtysku “tverde tilo - ridyna” dlia konsolidatsii seredovyshch chastynok mikroporystoi struktury, Visnyk of Kherson National Technical University. Nо. 3 (62). 2017. Р. 85–90. [In Ukrainian].
5. Petryk M. High Velocity Identification Methods of the Model Parameters of Filtration-Consolidation of Compressible Media of Moisture-Saturated Micro-Porous Particles. Journal of Automation and Information Sciences. Vol. 48. Issue 1. 2016. Р. 69–83.
6. Petryk M. Retrospective Identification Problem in Integrated Form from Systems of Filtration-Consilidation of Compressible Media of Liquid Contained Microporous Particles. Journal of Automation and Information Sciences. Vol. 48. Issue 8. 2016. Р. 1–14.
7. Petryk M., Vorobiev E. Numerical and Analytical Modeling of Solid-Liquid Expression from Soft Plant Materials. AIChE Journal. Wiley. Volume 59. Issue 12. 2013. Р. 4762–4771.
8. Petryk M., Khimitch A., Petryk M. M., Fraissard J. Experimental and computer simulation studies of dehydration on microporous adsorbent of natural gas used as motor fuel. Fuel. Vol. 239. 2019. P. 1324–1330.
9. Petryk M., Khimich O., Mykhalyk D., Boyko I., Kovbashyn V. (2019) High-performance computing technologies of modeling and identification of adsorption in nanoporous systems with feedbacks for gas purification. Scientific Journal of TNTU (Tern.). Vol. 95. No. 3. P. 139–145.
10. Petryk M., Boyko I., Mykhalyk D., Petryk M., Lutsyk N., Kovbashyn V. (2017) Mathematical modeling of processes of nonisothermal adsorption, desorption and heat transfer of hydrocarbons in nanoporous catalysts based on zeolite ZSM-5 of exhaust gas neutralization systems. Scientific Journal of TNTU (Tern.). Vol. 88. No. 4. Р. 145–152.
11. Webster A. Differencial'nye uravneniya v chastnyh proizvodnyh matematicheskoj fiziki 2nd edition. Dover Publications, 2016, 400 p. [In Russian].

1. Petryk M., Vorobiev E. Liquid Flowing from Porous particles During the Pressing of Biological Materials. Computer & Chem. Eng. Elsevier Irland. Issue 31. 2007. Р. 1336–1345.
2. Sergienko I., Petryk M., Khimich A., Mykhalyk D., Leclerc S., Fraissard J. Matematychne modeliuvannia masoperenosu v seredovyshchakh chastynok nanoporystoi struktury. Natsionalna akademiia nauk Ukrainy, Kyiv., 2014, 196 p. [In Ukrainian].
3. Deineka V. Petryk M, Canet D., Fraissard J. Matematychne modeliuvannia ta identyfikatsiia parametriv masoperenosu v neodnoridnykh i nanoporystykh seredovyshchakh, National Academy of Sciences of Ukraine. Kyiv, 2014, 182 p. [In Ukrainian].
4. Petryk M., Mykhalyk D., Petryk O., Kordiak I. Identyfikatsiia koefitsiientiv konsolidatsii protsesu vidtysku “tverde tilo - ridyna” dlia konsolidatsii seredovyshch chastynok mikroporystoi struktury, Visnyk of Kherson National Technical University. Nо. 3 (62). 2017. Р. 85–90. [In Ukrainian].
5. Petryk M. High Velocity Identification Methods of the Model Parameters of Filtration-Consolidation of Compressible Media of Moisture-Saturated Micro-Porous Particles. Journal of Automation and Information Sciences. Vol. 48. Issue 1. 2016. Р. 69–83.
6. Petryk M. Retrospective Identification Problem in Integrated Form from Systems of Filtration-Consilidation of Compressible Media of Liquid Contained Microporous Particles. Journal of Automation and Information Sciences. Vol. 48. Issue 8. 2016. Р. 1–14.
7. Petryk M., Vorobiev E. Numerical and Analytical Modeling of Solid-Liquid Expression from Soft Plant Materials. AIChE Journal. Wiley. Volume 59. Issue 12. 2013. Р. 4762–4771.
8. Petryk M., Khimitch A., Petryk M. M., Fraissard J. Experimental and computer simulation studies of dehydration on microporous adsorbent of natural gas used as motor fuel. Fuel. Vol. 239. 2019. P. 1324–1330.
9. Petryk M., Khimich O., Mykhalyk D., Boyko I., Kovbashyn V. (2019) High-performance computing technologies of modeling and identification of adsorption in nanoporous systems with feedbacks for gas purification. Scientific Journal of TNTU (Tern.). Vol. 95. No. 3. P. 139–145.
10. Petryk M., Boyko I., Mykhalyk D., Petryk M., Lutsyk N., Kovbashyn V. (2017) Mathematical modeling of processes of nonisothermal adsorption, desorption and heat transfer of hydrocarbons in nanoporous catalysts based on zeolite ZSM-5 of exhaust gas neutralization systems. Scientific Journal of TNTU (Tern.). Vol. 88. No. 4. Р. 145–152.
11. Webster A. Differencial'nye uravneniya v chastnyh proizvodnyh matematicheskoj fiziki 2nd edition. Dover Publications, 2016, 400 p. [In Russian].