Seepage to a Drainage Ditch and Optimization of Its Shape
Publication: Journal of Irrigation and Drainage Engineering
Volume 132, Issue 6
Abstract
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.
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© 2006 ASCE.
History
Received: Apr 5, 2005
Accepted: Mar 27, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006
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