Seepage to a drainage ditch and optimization of its shape

Anvar R. Kacimov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


An optimal shape design problem for an empty drainage ditch is solved and it is shown that a semicircle intercepting saturated seepage from two constant potential rays is a contour of constant Darcian velocity and of maximal excavated volume at a given flow rate and ditch width. The corresponding family of isobars belongs to the class of conchoids of Nicomedes. The optimal flow is generated by a hydrodynamic dipole placed in a gravitational field.

Original languageEnglish
Pages (from-to)619-622
Number of pages4
JournalJournal of Irrigation and Drainage Engineering
Issue number6
Publication statusPublished - Nov 2006


  • Analytical techniques
  • Drainage
  • Evaporation
  • Optimization
  • Seepage
  • Water table

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology
  • Agricultural and Biological Sciences (miscellaneous)


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