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ISSN 2079-3316 Bilingual online scientific Online scientific journal of the Ailamazyan Program System Institute of the Ailamazyan PSI of PSI of Russian Academy of Science of RAS 12+ 
Volume 17 (2026) . Issue 1 (70) . Paper No. 4 (503)

Computational science

Research Article
DOIDigital Object Identifier 10.25209/2079-3316-2026-17-1-85-103

Algorithm and software for calculating thermal cycles for the separation of gas mixtures using thermodynamic criteria

Alexandr Andreevich MazikovCorrespondent author

Ailamazyan Program Systems Institute of RAS, Ves'kovo, Russia
State Professional Educational Institution of the Yaroslavl Region Pereslavl College named after A. Nevsky
Alexandr Andreevich Mazikov — Correspondent author a-mazikov98@mail.ru

Abstract. The methodology of optimization thermodynamics has been employed to address the problem of the ultimate capabilities of thermodiffusion separation cycles and to develop a corresponding calculation algorithm and software. Existing programs and algorithms for simulating thermodiffusion cycles did not incorporate thermodynamic criteria. Expressions have been derived for the cycle’s limiting efficiency and its maximum productivity as functions of the composition of the feed mixture, the magnitude, and the temperature of the heating stream. The boundary of the feasible operating region in the productivity–heat consumption plane has been constructed and parameterized. The developed algorithms have been implemented in dedicated software for calculating thermodiffusion cycles. (In Russian).

Keywords: thermodiffusion, limiting capacity, thermodynamic-balance equation, maximum efficiency, irreversibility factor

MSC-20202020 Mathematics Subject Classification 80M35; 80-10, 80-05MSC-2020 80-XX: Classical thermodynamics, heat transfer MSC-2020 80Mxx: Basic methods in thermodynamics and heat transfer MSC-2020 80M35: Asymptotic analysis for problems in thermodynamics and heat transfer MSC-2020 80-10: Mathematical modeling or simulation for problems pertaining to classical thermodynamics MSC-2020 80-05: Experimental work for problems pertaining to classical thermodynamics

Acknowledgments: This work was supported by the Russian Science Foundation, project no. 25-29-00965

For citation: Alexandr A. Mazikov. Algorithm and software for calculating thermal cycles for the separation of gas mixtures using thermodynamic criteria. Program Systems: Theory and Applications, 2026, 17:1, pp. 85–103. (In Russ.). https://psta.psiras.ru/2026/1_85-103.

Full text of article (PDF): https://psta.psiras.ru/read/psta2026_1_85-103.pdf.

The article was submitted 18.01.2026; approved after reviewing 26.02.2026; accepted for publication 01.03.2026; published online 04.03.2026.

© Mazikov A. A.
2026
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