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Comparative Study on the Modelling of Mixing Length Distribution in the Sediment-Laden Flow


Affiliations
1 Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, China
2 Chongqing Education College, Chongqing 400067, China
3 Southwestern Research Institute of Water Transportation Engineering, Chongqing Jiaotong University, Chongqing 400016, China
 

In view of the established mixing length model with lack of outside China applicability, different forms of flow must be adopted. Firstly, from motion mechanism of mixing-length of the sediment-laden flow, a new mixinglength distribution mode in vertical was deduced by combining flow turbulence theory with applied mathematics theory. Then, the existing typical experimental data were verified well, and by comparing linear distribution and parabolic distribution, the result shows that the distribution is superior to the latter two. Finally, its dynamics lead to mixing-length distribution characteristic is also discussed preliminarily, and influence of the sediment concentration on the distribution of the mixing-length. The established expression on the vertical distribution of the mixing-length is not only simple and explicit, but also better reflects the motion characteristics of the complex flow, for the foundation of further study on the velocity profile of the sediment flow.

Keywords

Mixing Length, Linear Distribution, Parabolic Distribution, Sediment Concentration.
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  • Comparative Study on the Modelling of Mixing Length Distribution in the Sediment-Laden Flow

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Authors

Zhihui Ni
Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, China
Lichun Wu
Chongqing Education College, Chongqing 400067, China
Xujin Zhang
Southwestern Research Institute of Water Transportation Engineering, Chongqing Jiaotong University, Chongqing 400016, China
Jing Yi
Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, China
Qiang Zeng
Key Laboratory of Hydraulic and Waterway Engineering of the Ministry of Education and National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing 400074, China

Abstract


In view of the established mixing length model with lack of outside China applicability, different forms of flow must be adopted. Firstly, from motion mechanism of mixing-length of the sediment-laden flow, a new mixinglength distribution mode in vertical was deduced by combining flow turbulence theory with applied mathematics theory. Then, the existing typical experimental data were verified well, and by comparing linear distribution and parabolic distribution, the result shows that the distribution is superior to the latter two. Finally, its dynamics lead to mixing-length distribution characteristic is also discussed preliminarily, and influence of the sediment concentration on the distribution of the mixing-length. The established expression on the vertical distribution of the mixing-length is not only simple and explicit, but also better reflects the motion characteristics of the complex flow, for the foundation of further study on the velocity profile of the sediment flow.

Keywords


Mixing Length, Linear Distribution, Parabolic Distribution, Sediment Concentration.