Interval models of nonequilibrium physicochemical processes
The paper discusses the application of the adaptive interpolation algorithm to problems of chemical kinetics and gas dynamics with interval uncertainties in reaction rate constants. The values of the functions describing the reaction rate may differ considerably if they have been obtained by differe...
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2025-07-01
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| Series: | Discrete and Continuous Models and Applied Computational Science |
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| Online Access: | https://journals.rudn.ru/miph/article/viewFile/45256/25142 |
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| _version_ | 1849245722425163776 |
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| author | Alexander Yu. Morozov Dmitry L. Reviznikov Vladimir Yu. Gidaspov |
| author_facet | Alexander Yu. Morozov Dmitry L. Reviznikov Vladimir Yu. Gidaspov |
| author_sort | Alexander Yu. Morozov |
| collection | DOAJ |
| description | The paper discusses the application of the adaptive interpolation algorithm to problems of chemical kinetics and gas dynamics with interval uncertainties in reaction rate constants. The values of the functions describing the reaction rate may differ considerably if they have been obtained by different researchers. The difference may reach tens or hundreds of times. Interval uncertainties are proposed to account for these differences in models. Such problems with interval parameters are solved using the previously developed adaptive interpolation algorithm. On the example of modelling the combustion of a hydrogen-oxygen mixture, the effect of uncertainties on the reaction process is demonstrated. One-dimensional nonequilibrium flow in a rocket engine nozzle with different nozzle shapes, including a nozzle with two constrictions, in which a standing detonation wave can arise, is simulated. A numerical study of the effect of uncertainties on the structure of the detonation wave, as well as on steadyystate flow parameters, such as the ignition delay time and the concentration of harmful substances at the nozzle exit, is performed. |
| format | Article |
| id | doaj-art-1962a1fafcdb44278ee28174089b93ff |
| institution | Kabale University |
| issn | 2658-4670 2658-7149 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Discrete and Continuous Models and Applied Computational Science |
| spelling | doaj-art-1962a1fafcdb44278ee28174089b93ff2025-08-20T03:58:44ZengPeoples’ Friendship University of Russia (RUDN University)Discrete and Continuous Models and Applied Computational Science2658-46702658-71492025-07-0133218419810.22363/2658-4670-2025-33-2-184-19821082Interval models of nonequilibrium physicochemical processesAlexander Yu. Morozov0https://orcid.org/0000-0003-0364-8665Dmitry L. Reviznikov1https://orcid.org/0000-0003-0998-7975Vladimir Yu. Gidaspov2https://orcid.org/0000-0002-5119-4488Federal Research Center Computer Science and Control of the Russian Academy of SciencesFederal Research Center Computer Science and Control of the Russian Academy of SciencesMoscow Aviation Institute (National Research University)The paper discusses the application of the adaptive interpolation algorithm to problems of chemical kinetics and gas dynamics with interval uncertainties in reaction rate constants. The values of the functions describing the reaction rate may differ considerably if they have been obtained by different researchers. The difference may reach tens or hundreds of times. Interval uncertainties are proposed to account for these differences in models. Such problems with interval parameters are solved using the previously developed adaptive interpolation algorithm. On the example of modelling the combustion of a hydrogen-oxygen mixture, the effect of uncertainties on the reaction process is demonstrated. One-dimensional nonequilibrium flow in a rocket engine nozzle with different nozzle shapes, including a nozzle with two constrictions, in which a standing detonation wave can arise, is simulated. A numerical study of the effect of uncertainties on the structure of the detonation wave, as well as on steadyystate flow parameters, such as the ignition delay time and the concentration of harmful substances at the nozzle exit, is performed.https://journals.rudn.ru/miph/article/viewFile/45256/25142chemical kineticsgas dynamicsinterval parametersinterval velocity constantsnozzlerocket enginestanding detonation waveadaptive interpolation algorithm |
| spellingShingle | Alexander Yu. Morozov Dmitry L. Reviznikov Vladimir Yu. Gidaspov Interval models of nonequilibrium physicochemical processes Discrete and Continuous Models and Applied Computational Science chemical kinetics gas dynamics interval parameters interval velocity constants nozzle rocket engine standing detonation wave adaptive interpolation algorithm |
| title | Interval models of nonequilibrium physicochemical processes |
| title_full | Interval models of nonequilibrium physicochemical processes |
| title_fullStr | Interval models of nonequilibrium physicochemical processes |
| title_full_unstemmed | Interval models of nonequilibrium physicochemical processes |
| title_short | Interval models of nonequilibrium physicochemical processes |
| title_sort | interval models of nonequilibrium physicochemical processes |
| topic | chemical kinetics gas dynamics interval parameters interval velocity constants nozzle rocket engine standing detonation wave adaptive interpolation algorithm |
| url | https://journals.rudn.ru/miph/article/viewFile/45256/25142 |
| work_keys_str_mv | AT alexanderyumorozov intervalmodelsofnonequilibriumphysicochemicalprocesses AT dmitrylreviznikov intervalmodelsofnonequilibriumphysicochemicalprocesses AT vladimiryugidaspov intervalmodelsofnonequilibriumphysicochemicalprocesses |