Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta
Sediment is carried by flows into lake during the formation of lacustrine deltas. The subsequent movement of sediment-laden flow is maintained by the initial momentum at the early stage of delta growth. A theoretical model of the plane jet boundary layer in the initial stage of a lacustrine delta, i...
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MDPI AG
2022-08-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/14/16/2522 |
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| author | Weiyan Xin Yanhua Yang Wude Xie Ziqing Ji Yuchuan Bai |
| author_facet | Weiyan Xin Yanhua Yang Wude Xie Ziqing Ji Yuchuan Bai |
| author_sort | Weiyan Xin |
| collection | DOAJ |
| description | Sediment is carried by flows into lake during the formation of lacustrine deltas. The subsequent movement of sediment-laden flow is maintained by the initial momentum at the early stage of delta growth. A theoretical model of the plane jet boundary layer in the initial stage of a lacustrine delta, including the consideration of gravity action on the slope and bottom friction, was established according to characteristics of this process, and a similarity solution method was used to solve the model. A coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula> was introduced that describes the characteristics of sediment-laden flow spreading along a straight line and its value is given. The theoretical expression of morphological characteristics of the initial stage was derived based on the general mathematical model of river bed evolution, and the erosion and deposition patterns were quantitatively analyzed. It was verified through experimental data that the theoretical model can be solved accurately and, can satisfactorily describe the trend in erosion and deposition and morphological characteristics of the initial stage of a delta. |
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| format | Article |
| id | doaj.art-2f51da0dcc69411da3772e0cb30208e8 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T12:20:37Z |
| publishDate | 2022-08-01 |
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| spelling | doaj.art-2f51da0dcc69411da3772e0cb30208e82023-11-30T22:40:36ZengMDPI AGWater2073-44412022-08-011416252210.3390/w14162522Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine DeltaWeiyan Xin0Yanhua Yang1Wude Xie2Ziqing Ji3Yuchuan Bai4Tianjin Research Institute for Water Transport Engineering, Ministry of Transport, Tianjin 300456, ChinaTianjin Research Institute for Water Transport Engineering, Ministry of Transport, Tianjin 300456, ChinaMarine College, Shandong University, Weihai 264209, ChinaInstitute for Sediment, River and Coast Engineering, Tianjin University, Tianjin 300072, ChinaInstitute for Sediment, River and Coast Engineering, Tianjin University, Tianjin 300072, ChinaSediment is carried by flows into lake during the formation of lacustrine deltas. The subsequent movement of sediment-laden flow is maintained by the initial momentum at the early stage of delta growth. A theoretical model of the plane jet boundary layer in the initial stage of a lacustrine delta, including the consideration of gravity action on the slope and bottom friction, was established according to characteristics of this process, and a similarity solution method was used to solve the model. A coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ε</mi></semantics></math></inline-formula> was introduced that describes the characteristics of sediment-laden flow spreading along a straight line and its value is given. The theoretical expression of morphological characteristics of the initial stage was derived based on the general mathematical model of river bed evolution, and the erosion and deposition patterns were quantitatively analyzed. It was verified through experimental data that the theoretical model can be solved accurately and, can satisfactorily describe the trend in erosion and deposition and morphological characteristics of the initial stage of a delta.https://www.mdpi.com/2073-4441/14/16/2522theoretical modeldynamic evolutioninitial stagelacustrine deltajet boundary layer |
| spellingShingle | Weiyan Xin Yanhua Yang Wude Xie Ziqing Ji Yuchuan Bai Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta Water theoretical model dynamic evolution initial stage lacustrine delta jet boundary layer |
| title | Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta |
| title_full | Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta |
| title_fullStr | Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta |
| title_full_unstemmed | Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta |
| title_short | Theoretical Model and Solution of Dynamic Evolution in Initial Stage of Lacustrine Delta |
| title_sort | theoretical model and solution of dynamic evolution in initial stage of lacustrine delta |
| topic | theoretical model dynamic evolution initial stage lacustrine delta jet boundary layer |
| url | https://www.mdpi.com/2073-4441/14/16/2522 |
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