On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes
The problems of modeling calm and shallow streambed flows of low turbidity within elongated and weakly curved sections are discussed. A technique based on the small parameter method of obtaining simplified mathematical models that adequately take into account the spatial nature of the flow is presen...
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| Format: | Article |
| Language: | English |
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Irkutsk State University
2020-03-01
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| Series: | Известия Иркутского государственного университета: Серия "Математика" |
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| Online Access: | http://mathizv.isu.ru/en/article/file?id=1329 |
| _version_ | 1811278458945273856 |
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| author | K. A. Nadolin |
| author_facet | K. A. Nadolin |
| author_sort | K. A. Nadolin |
| collection | DOAJ |
| description | The problems of modeling calm and shallow streambed flows of low turbidity within elongated and weakly curved sections are discussed. A technique based on the small parameter method of obtaining simplified mathematical models that adequately take into account the spatial nature of the flow is presented. In contrast to the widespread averaged models, the equations of mathematical models described in the article take into account the spatial structure of the flow, which allows us to study the influence of the shape of the bottom and coastline of the channel, as well as some external factors (for example, the wind) on the characteristics of mixing and distribution of matter in the stream. |
| first_indexed | 2024-04-13T00:35:04Z |
| format | Article |
| id | doaj.art-f38f4d378f6540db921e3195ac24597d |
| institution | Directory Open Access Journal |
| issn | 1997-7670 2541-8785 |
| language | English |
| last_indexed | 2024-04-13T00:35:04Z |
| publishDate | 2020-03-01 |
| publisher | Irkutsk State University |
| record_format | Article |
| series | Известия Иркутского государственного университета: Серия "Математика" |
| spelling | doaj.art-f38f4d378f6540db921e3195ac24597d2022-12-22T03:10:21ZengIrkutsk State UniversityИзвестия Иркутского государственного университета: Серия "Математика"1997-76702541-87852020-03-013113448https://doi.org/10.26516/1997-7670.2020.31.34On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed FlowesK. A. NadolinThe problems of modeling calm and shallow streambed flows of low turbidity within elongated and weakly curved sections are discussed. A technique based on the small parameter method of obtaining simplified mathematical models that adequately take into account the spatial nature of the flow is presented. In contrast to the widespread averaged models, the equations of mathematical models described in the article take into account the spatial structure of the flow, which allows us to study the influence of the shape of the bottom and coastline of the channel, as well as some external factors (for example, the wind) on the characteristics of mixing and distribution of matter in the stream.http://mathizv.isu.ru/en/article/file?id=1329mathematical modelstreambed flowturbulencefree surfacesmall parameter techniquepassive admixture |
| spellingShingle | K. A. Nadolin On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes Известия Иркутского государственного университета: Серия "Математика" mathematical model streambed flow turbulence free surface small parameter technique passive admixture |
| title | On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes |
| title_full | On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes |
| title_fullStr | On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes |
| title_full_unstemmed | On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes |
| title_short | On a Family of Mathematical Models of Adequate Complexity, Describing Passive Mass Transfer in Calm Streambed Flowes |
| title_sort | on a family of mathematical models of adequate complexity describing passive mass transfer in calm streambed flowes |
| topic | mathematical model streambed flow turbulence free surface small parameter technique passive admixture |
| url | http://mathizv.isu.ru/en/article/file?id=1329 |
| work_keys_str_mv | AT kanadolin onafamilyofmathematicalmodelsofadequatecomplexitydescribingpassivemasstransferincalmstreambedflowes |