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Hydrodynamic Characteristics of Expanded Channels with their Applications----the State-of-the-Art

Received: 21 May 2013     Published: 30 June 2013
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Abstract

In this study, analytical-statistical solutions of the characteristics in gradually and abruptly expanded channel flows, such as velocity profile, turbulent shear stress profile and profiles of turbulent kinetic energy, energy dissipation rate, and dispersion coefficient are derived. Then, the comparisons of the analytical results are made with the results of 2-DH with depth-averaged numerical model solution and some experimental results.Good trends and agreements are obtained, and the expanding angletakes an important and relevant role on the main effect of these hydrodynamic items. The quasi-3D flow situation due to the downstream abruptly contracted channel with the upstream abruptly expanded channel is also shown and discussed. In this paper, the new contributions, ideas, clarifications and applications that resulted after the paper was given are presented.

Published in American Journal of Civil Engineering (Volume 1, Issue 1)
DOI 10.11648/j.ajce.20130101.15
Page(s) 31-40
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Velocity Profile, Turbulent Shear Stress, Turbulent Kinetic Energy, Energy Dissipation Rate, Dispersion, Turbulence, Expanded Flow, Hydrodynamics

References
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[2] Chen Y.-S., Kim S.-M. (1987), Computation of Turbulent Flows using an Extended k- " Turbulence Closure Model, CR-179204, NASA, p. 21.
[3] Yakhot V., Orszag S. A., Thangam S., Gatski T. B., Speziale C. G. (1992), Development of Turbulence Models for Shear Flows by a Double Expansion Technique, Phys. Fluids A, 4(9).
[4] Flokstra C. (1977), The Closure Problem for Depth-Average Two Dimensional Flow, Publication No. 190, Delft Hydraulics Laboratory, The Netherlands.
[5] Wu W. (2004), Depth-Averaged 2-D Numerical Modeling of Unsteady Flow and Non-uniform Sediment Transport in Open Channels, accepted for publication by J. of Hydraulic Engineering, ASCE.
[6] Elder J. W. (1959), The Dispersion of Marked Fluid in Turbulent Shear Flow, J. of Fluid Mechanics, Vol. 5, Part 4.
[7] Fischer H. B., List E. J., Koh R. C. Y., Imberger J., Brooks N. H (1979), Mixing in Inland and Coastal Waters, Academic Press, New York.
[8] Shyy W., Thakur S. S., Quyang H., Liu J., Blosch, E. (1997), Computational Techniques for Complex Transport Phenomenon, Cambridge University Press.
[9] Rodi W. (1993), Turbulence Models and Their Aplication in Hydraulics, 3rd Ed., IAHR Monograph, Balkema, Rottedam.
[10] Edward C. R. Luo (2013),"Hydrodynamic characteristics of Gradually Expanded channel Flow". IJHE 2013, 2(3): 35-41
[11] Albertson, M. Dai, Y. B. Jensen, R. A. and Rouse, H. (1948), "Diffusion of submerged jets", Transactions, ASCE, Paper No. 2409.
[12] Zhang, S.(1989), "Use of sudden enlargement for energy dissipation in hydraulic outlet conduits."
[13] Yu Z. S.et al.(2011), "Numerical computations of flow in a finite diverging channel" J. of Zhejiang Univ-Sci A (ApplPhys&Eng) 2011 11(1).
[14] Gayathri S. et al.(2011)," Global instabilities in diverging channel flows " Theoretical and computational fluid dynamics Vol.25. No. 1-4 pp. 53-64, 2011.
[15] Tran Thuc (1991), "Two-dimensional morphological computations near hydraulic structures". Dissertation No. WA-91-2 Asian Institute of Technology, Bangkok, Thailand.
[16] Gerhart, P.G. and Gross, R. J.(1985),"Fundamentals of fluid mechanics". Addison-Wesley Publishing Company, Inc., Canada,.
[17] Yang C. S. et al.(2010)," Fluid flow and heat transfer in a horizontal channel with divergent top wall and heat from below ".J. of Heat transfer Vol.132, Issue 8, 2010.
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  • APA Style

    Edward Ching-Ruey, LUO. (2013). Hydrodynamic Characteristics of Expanded Channels with their Applications----the State-of-the-Art. American Journal of Civil Engineering, 1(1), 31-40. https://doi.org/10.11648/j.ajce.20130101.15

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    ACS Style

    Edward Ching-Ruey; LUO. Hydrodynamic Characteristics of Expanded Channels with their Applications----the State-of-the-Art. Am. J. Civ. Eng. 2013, 1(1), 31-40. doi: 10.11648/j.ajce.20130101.15

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    AMA Style

    Edward Ching-Ruey, LUO. Hydrodynamic Characteristics of Expanded Channels with their Applications----the State-of-the-Art. Am J Civ Eng. 2013;1(1):31-40. doi: 10.11648/j.ajce.20130101.15

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  • @article{10.11648/j.ajce.20130101.15,
      author = {Edward Ching-Ruey and LUO},
      title = {Hydrodynamic Characteristics of Expanded Channels with their Applications----the State-of-the-Art},
      journal = {American Journal of Civil Engineering},
      volume = {1},
      number = {1},
      pages = {31-40},
      doi = {10.11648/j.ajce.20130101.15},
      url = {https://doi.org/10.11648/j.ajce.20130101.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20130101.15},
      abstract = {In this study, analytical-statistical solutions of the characteristics in gradually and abruptly expanded channel flows, such as velocity profile, turbulent shear stress profile and profiles of turbulent kinetic energy, energy dissipation rate, and dispersion coefficient are derived. Then, the comparisons of the analytical results are made with the results of 2-DH with depth-averaged numerical model solution and some experimental results.Good trends and agreements are obtained, and the expanding angletakes an important and relevant role on the main effect of these hydrodynamic items. The quasi-3D flow situation due to the downstream abruptly contracted channel with the upstream abruptly expanded channel is also shown and discussed. In this paper, the new contributions, ideas, clarifications and applications that resulted after the paper was given are presented.},
     year = {2013}
    }
    

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    JO  - American Journal of Civil Engineering
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    UR  - https://doi.org/10.11648/j.ajce.20130101.15
    AB  - In this study, analytical-statistical solutions of the characteristics in gradually and abruptly expanded channel flows, such as velocity profile, turbulent shear stress profile and profiles of turbulent kinetic energy, energy dissipation rate, and dispersion coefficient are derived. Then, the comparisons of the analytical results are made with the results of 2-DH with depth-averaged numerical model solution and some experimental results.Good trends and agreements are obtained, and the expanding angletakes an important and relevant role on the main effect of these hydrodynamic items. The quasi-3D flow situation due to the downstream abruptly contracted channel with the upstream abruptly expanded channel is also shown and discussed. In this paper, the new contributions, ideas, clarifications and applications that resulted after the paper was given are presented.
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