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

Mohammed Ibrahiem Ibrahiem Mohammed; Mohamed Ahmed Abdel Hady Eid

doi:doi:10.11648/j.wros.20150403.11

| Peer-Reviewed

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

Mohammed Ibrahiem Ibrahiem Mohammed, Mohamed Ahmed Abdel Hady Eid

Published in Journal of Water Resources and Ocean Science (Volume 4, Issue 3)

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2024. 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.

Cite This Article

Plain Text BibTeX RIS

APA Style

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download

Author Information

Mohammed Ibrahiem Ibrahiem Mohammed

Irrigation and Hydraulics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt
Mohamed Ahmed Abdel Hady Eid

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

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download