Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica
Objectives. The objective of the work is computer modeling of diffusion in ideal gas mixtures taking into account the dependence of the diffusion coefficient on the entropy of mixing according to the model proposed by one of the authors of the article, in Wolfram Mathematica.Methods. Built-in functi...
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| Format: | Article |
| Language: | Russian |
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National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2024-12-01
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| Series: | Informatika |
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| Online Access: | https://inf.grid.by/jour/article/view/1296 |
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| author | P. K. Shalkevich N. A. Shilov N. N. Grinchik |
| author_facet | P. K. Shalkevich N. A. Shilov N. N. Grinchik |
| author_sort | P. K. Shalkevich |
| collection | DOAJ |
| description | Objectives. The objective of the work is computer modeling of diffusion in ideal gas mixtures taking into account the dependence of the diffusion coefficient on the entropy of mixing according to the model proposed by one of the authors of the article, in Wolfram Mathematica.Methods. Built-in function NDSolveValue in Wolfram Mathematica and the default solver were used for the numerical solution of the one-dimensional task; for the numerical solution of the two-dimensional task the same function was used, for which the Numerical Method of Lines was specified as the solver.Results. The results of computer modeling of diffusion in a mixture of ideal gases are obtained taking into account the dependence of the diffusion coefficient on the entropy of mixing for two tasks in a one-dimensional formulation and one task in a two-dimensional formulation.Conclusion. The conducted research and the obtained solutions in computer modeling of diffusion in a mixture of ideal gases taking into account the dependence of the diffusion coefficient on the entropy of mixing indicate that for solving tasks in the field of computer modeling of gas mixing in modern software tools could be used a mathematical model that is an alternative to popular modern models based on the description of the hydrodynamic properties of gases and the enthalpy of mixing, as well as other entropy models. |
| format | Article |
| id | doaj-art-2f46807ad2e54e1085fc61dcc340f8a3 |
| institution | DOAJ |
| issn | 1816-0301 |
| language | Russian |
| publishDate | 2024-12-01 |
| publisher | National Academy of Sciences of Belarus, the United Institute of Informatics Problems |
| record_format | Article |
| series | Informatika |
| spelling | doaj-art-2f46807ad2e54e1085fc61dcc340f8a32025-08-20T03:02:37ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012024-12-01214465710.37661/1816-0301-2024-21-4-46-571079Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram MathematicaP. K. Shalkevich0N. A. Shilov1N. N. Grinchik2International Sakharov Environmental Institute of Belarusian State UniversityBelarusian State University of Informatics and RadioelectronicsA. V. Luikov heat and mass transfer institute of the National academy of sciences of BelarusObjectives. The objective of the work is computer modeling of diffusion in ideal gas mixtures taking into account the dependence of the diffusion coefficient on the entropy of mixing according to the model proposed by one of the authors of the article, in Wolfram Mathematica.Methods. Built-in function NDSolveValue in Wolfram Mathematica and the default solver were used for the numerical solution of the one-dimensional task; for the numerical solution of the two-dimensional task the same function was used, for which the Numerical Method of Lines was specified as the solver.Results. The results of computer modeling of diffusion in a mixture of ideal gases are obtained taking into account the dependence of the diffusion coefficient on the entropy of mixing for two tasks in a one-dimensional formulation and one task in a two-dimensional formulation.Conclusion. The conducted research and the obtained solutions in computer modeling of diffusion in a mixture of ideal gases taking into account the dependence of the diffusion coefficient on the entropy of mixing indicate that for solving tasks in the field of computer modeling of gas mixing in modern software tools could be used a mathematical model that is an alternative to popular modern models based on the description of the hydrodynamic properties of gases and the enthalpy of mixing, as well as other entropy models.https://inf.grid.by/jour/article/view/1296computer modelingmathematical modelinggas diffusionentropy of gas mixingchemical potentialnumerical methods |
| spellingShingle | P. K. Shalkevich N. A. Shilov N. N. Grinchik Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica Informatika computer modeling mathematical modeling gas diffusion entropy of gas mixing chemical potential numerical methods |
| title | Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica |
| title_full | Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica |
| title_fullStr | Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica |
| title_full_unstemmed | Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica |
| title_short | Computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in Wolfram Mathematica |
| title_sort | computer modeling of a diffusion in a mixture of ideal gases given the dependence of the diffusion coefficient on the entropy of mixing in wolfram mathematica |
| topic | computer modeling mathematical modeling gas diffusion entropy of gas mixing chemical potential numerical methods |
| url | https://inf.grid.by/jour/article/view/1296 |
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