Optimal Design of Gravity Flow Water Conduits

by Roberto Canales-Ruiz, Investigador; Instituto de Ingenieria, Ciudad Univ., Mexico, D.F., Mexico,

Serial Information: Journal of the Hydraulics Division, 1980, Vol. 106, Issue 9, Pg. 1489-1502

Document Type: Journal Paper


A method based on the Pontryagin Maximum Principle for the optimal design of water conduits is described. Even though the method is general, the design of gravity water conduits using only a discrete set of diameters is treated in detail. It is shown how the design problem can be reduced to a two point boundary value problem, and a graphical method for its solution is presented. Two design examples are included. The conditions that should be modified to deal with other design problems, such as those considering pumping costs, are indicated.

Subject Headings: Water flow | Conduits | Hydraulic design | Water use | Water treatment | Boundary value problem | Graphic methods | Pumps

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