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Water Velocity, Vorticity and Bed Deviation Modeling for a Reach from Damietta Branch Using K-ε Turbulence Model Solved by Cubic Interpolated Pseudo (CIP) Method

Received: 8 May 2015     Accepted: 20 May 2015     Published: 2 June 2015
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Abstract

A multi-meander reach with length of 20 km located between km 130.0 and km 150.0 downstream of Delta barrages - Damietta branch was selected and numerically studied. This study aimed to simulate and study numerically the water velocity, vorticity and bed deviation of the curved zones for the reach under study and illustrating the relationship between them. Consequently, the vulnerable zones subjected to maximum velocities were accurately determined. Field data were collected and analyzed for the modeling process. A 3-D model called iRIC (International River Interface Corporative) based on an explicit finite difference method (Abbott-Ionescu scheme) was applied. Therefore, in order to fulfill such objective, standard K-ɛ turbulence model was employed using Cubic Interpolated Pseudo (CIP) method for solving the advection terms. For illustrating obviously the variation of water velocity with vorticity and deviation of bed elevation, two important zones consisted of several meanders were selected, the first zone located from km: 132.00 to km: 137.33 while the second located between km: 137.33 and km: 142.67. Through the modeling process, it was assumed that the sediment particles move in the bed layer zone only. From this study, it was found that for both selected zones, the velocity value was ranged between 0.13 m/sec and 0.24 m/sec, and it could be considered as a small range to make scouring process. It was observed also, that there was a noticeable relationship between water velocity, vorticity and deviation of bed elevation.

Published in Journal of Water Resources and Ocean Science (Volume 4, Issue 3)
DOI 10.11648/j.wros.20150403.11
Page(s) 44-53
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), 2015. Published by Science Publishing Group

Keywords

Flow Characteristics, Modeling, Turbulence Model, Sediment, K-ε model, CIP Method

References
[1] Ahmed A. F. (2010). "Improving navigation in river bends by bottom vanes", Scientific Bull., Faculty of Engineering, Ain Shams University, ISSN 1110-1385, Vol. 32, No. 1.
[2] Attia K. M. and El-Saied N.A. (2004). "Plan form geometry of river meander at Damietta branch", Scientific Bulletin, Faculty of Engineering, Ain Shams University, ISSN 1110-1385, Vol. 39, No. 1, pp.359-379.
[3] Grade R. J. (1995). "History of fluvial hydraulics", New Age Publishers. p. 14.and p.19, ISBN 812240815X. OCLC 34628134.
[4] Hickin J.S. (2003). "Meandering channels", International Journal of Recent Trends in Engineering, India, Vol. 1, No. 6, pp. 430–434.
[5] Ibrahiem, M.I., Zidan, A.A., El-Alfy, K.S. and Abdalla, M. G. (2015). "Numerical modeling of flow conditions and bed deviations of a reach from the river Nile", PhD thesis, Irrigation and Hydraulics Dept., El-Mansoura University.
[6] Inglis C.D. (1938). "Relationship between meander belts", Central Irrigation Hydrodynamic, India, Tech. Note No. 12.
[7] Leopold L. B. and Wolman M. G. (1960). "River meanders", Geological Society, Bull., Vol. 71, pp. 769-794.
[8] Leopold L. B., Wolman M. G., and Miller J. P. (1964). "Fluvial processes in geomorphology", W. H. Freeman, San Francisco, California.
[9] Shimizu Y.R., Itakura T.G., and Yamaguchi H.K. (1990). "Three dimensional computation of flow and bed deformation", Journal of Hydraulics, ASCE, Vol.116, No. 9, pp. 1090-1108.
[10] Shimizu Y.R. (2012). Lecture Notes, "3-D river hydraulics modeling", Hokkaido University, Japan.
[11] Wang S.S. (1988). "Three dimensional models for fluvial hydraulic simulation", Proceeding of the International Conference on Fluvial Hydraulics, Budapest, Hungary, 88-30.
[12] Wang S.S., Combs P.X., and Hu K.K. (1989). "New developments in modeling 3D sedimentation phenomena", New Orleans, Louisiana, Vol.14, No.18, pp. 33-38
[13] Zeller J.D. (1967). "Meander channels in Switzerland", Cranfield University Report, Britannia.
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    Mohammed Ibrahiem Ibrahiem Mohammed, Mohamed Ahmed Abdel Hady Eid. (2015). Water Velocity, Vorticity and Bed Deviation Modeling for a Reach from Damietta Branch Using K-ε Turbulence Model Solved by Cubic Interpolated Pseudo (CIP) Method. Journal of Water Resources and Ocean Science, 4(3), 44-53. https://doi.org/10.11648/j.wros.20150403.11

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    ACS Style

    Mohammed Ibrahiem Ibrahiem Mohammed; Mohamed Ahmed Abdel Hady Eid. Water Velocity, Vorticity and Bed Deviation Modeling for a Reach from Damietta Branch Using K-ε Turbulence Model Solved by Cubic Interpolated Pseudo (CIP) Method. J. Water Resour. Ocean Sci. 2015, 4(3), 44-53. doi: 10.11648/j.wros.20150403.11

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    AMA Style

    Mohammed Ibrahiem Ibrahiem Mohammed, Mohamed Ahmed Abdel Hady Eid. Water Velocity, Vorticity and Bed Deviation Modeling for a Reach from Damietta Branch Using K-ε Turbulence Model Solved by Cubic Interpolated Pseudo (CIP) Method. J Water Resour Ocean Sci. 2015;4(3):44-53. doi: 10.11648/j.wros.20150403.11

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  • @article{10.11648/j.wros.20150403.11,
      author = {Mohammed Ibrahiem Ibrahiem Mohammed and Mohamed Ahmed Abdel Hady Eid},
      title = {Water Velocity, Vorticity and Bed Deviation Modeling for a Reach from Damietta Branch Using K-ε Turbulence Model Solved by Cubic Interpolated Pseudo (CIP) Method},
      journal = {Journal of Water Resources and Ocean Science},
      volume = {4},
      number = {3},
      pages = {44-53},
      doi = {10.11648/j.wros.20150403.11},
      url = {https://doi.org/10.11648/j.wros.20150403.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20150403.11},
      abstract = {A multi-meander reach with length of 20 km located between km 130.0 and km 150.0 downstream of Delta barrages - Damietta branch was selected and numerically studied. This study aimed to simulate and study numerically the water velocity, vorticity and bed deviation of the curved zones for the reach under study and illustrating the relationship between them. Consequently, the vulnerable zones subjected to maximum velocities were accurately determined. Field data were collected and analyzed for the modeling process. A 3-D model called iRIC (International River Interface Corporative) based on an explicit finite difference method (Abbott-Ionescu scheme) was applied. Therefore, in order to fulfill such objective, standard K-ɛ turbulence model was employed using Cubic Interpolated Pseudo (CIP) method for solving the advection terms. For illustrating obviously the variation of water velocity with vorticity and deviation of bed elevation, two important zones consisted of several meanders were selected, the first zone located from km: 132.00 to km: 137.33 while the second located between km: 137.33 and km: 142.67. Through the modeling process, it was assumed that the sediment particles move in the bed layer zone only. From this study, it was found that for both selected zones, the velocity value was ranged between 0.13 m/sec and 0.24 m/sec, and it could be considered as a small range to make scouring process. It was observed also, that there was a noticeable relationship between water velocity, vorticity and deviation of bed elevation.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Water Velocity, Vorticity and Bed Deviation Modeling for a Reach from Damietta Branch Using K-ε Turbulence Model Solved by Cubic Interpolated Pseudo (CIP) Method
    AU  - Mohammed Ibrahiem Ibrahiem Mohammed
    AU  - Mohamed Ahmed Abdel Hady Eid
    Y1  - 2015/06/02
    PY  - 2015
    N1  - https://doi.org/10.11648/j.wros.20150403.11
    DO  - 10.11648/j.wros.20150403.11
    T2  - Journal of Water Resources and Ocean Science
    JF  - Journal of Water Resources and Ocean Science
    JO  - Journal of Water Resources and Ocean Science
    SP  - 44
    EP  - 53
    PB  - Science Publishing Group
    SN  - 2328-7993
    UR  - https://doi.org/10.11648/j.wros.20150403.11
    AB  - A multi-meander reach with length of 20 km located between km 130.0 and km 150.0 downstream of Delta barrages - Damietta branch was selected and numerically studied. This study aimed to simulate and study numerically the water velocity, vorticity and bed deviation of the curved zones for the reach under study and illustrating the relationship between them. Consequently, the vulnerable zones subjected to maximum velocities were accurately determined. Field data were collected and analyzed for the modeling process. A 3-D model called iRIC (International River Interface Corporative) based on an explicit finite difference method (Abbott-Ionescu scheme) was applied. Therefore, in order to fulfill such objective, standard K-ɛ turbulence model was employed using Cubic Interpolated Pseudo (CIP) method for solving the advection terms. For illustrating obviously the variation of water velocity with vorticity and deviation of bed elevation, two important zones consisted of several meanders were selected, the first zone located from km: 132.00 to km: 137.33 while the second located between km: 137.33 and km: 142.67. Through the modeling process, it was assumed that the sediment particles move in the bed layer zone only. From this study, it was found that for both selected zones, the velocity value was ranged between 0.13 m/sec and 0.24 m/sec, and it could be considered as a small range to make scouring process. It was observed also, that there was a noticeable relationship between water velocity, vorticity and deviation of bed elevation.
    VL  - 4
    IS  - 3
    ER  - 

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Author Information
  • Irrigation and Hydraulics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

  • Irrigation and Hydraulics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

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