Analytical and Numerical Modelling of Unconfined Steady State Seepage in Curved Canal with Semicircle Cross Section

Document Type : Technical Note (5 pages)

Authors

1 Department of Civil Engineering, Asrar Institute of Higher Education, Mashhad, Iran

2 Department of Civil Engineering, Quchan University of Advanced Technology, Quchan, Iran.

3 TOOS-AB Consulting Engineering Co., Mashhad, Iran

Abstract

In this study the analytical and numerical methods have been presented for computing the unconfined steady state seepage velocity from a curved canal with semicircle cross section which . The analytical solution of seepage from curved canals has not generalized because the difficulty of conformal mappimg of their cross sections. In the present study, velocity hodograph and schwarz- christoffel transformations have been used. Then the computation of analytical solution of seepage velocity performed in which the drainage layer has lied in infinite depth. Along with the analytical solution, a numerical modeling based on finite elements has been used by commercial software SEEP/W. However approximate solutions by numerical methods have gained importance because of availability of high-speed digital computers along with specialized softwares. The verification of numerical modeling was performed by using the result of available analytical solution of seepage discharge from a trapezoidal canal cross section.
The results show that numerical method has an acceptable accuracy in comparison with analytical solution and can be used to estimate seepage velocity through the semicircle canals.

Keywords

References

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Iran-Water Resources Research
Volume 12, Issue 3 - Serial Number 37
December 2016
Pages 214-218

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History

  • Receive Date: 29 February 2016
  • Revise Date: 30 April 2016
  • Accept Date: 30 April 2016

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