Probability of Pressure Deficit in On-Demand Branched Networks and Incorporation into Design Decisions
Publication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 2
Abstract
This technical paper presents analytical expressions to estimate the probability function of head losses in any path of an on-demand branched irrigation network. They are developed for estimating the probability of pressure deficit of a given magnitude at any hydrant. They are also useful for examining the probability of a power deficit at a pumping station designed to guarantee service to a hydrant, as well as the head characteristic curve of the distribution system linked to a definite probability. All this quantified information is useful for decision making on network design and performance. The probabilities calculated with the developed expressions can be taken as complementary or alternative concepts to Clément’s classical design flow method, which is taken here as a benchmark for comparisons. Illustrative examples of network designs are presented to validate the proposed expressions. The least cost design solutions using Clément’s design flows are compared with design solutions here obtained to get the same probability of pressure deficit at the most unfavorable hydrants. The new solutions are less expensive because the flow constraint can be avoided.
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Acknowledgments
The writers would like to thank the Interministry Commission of Science and Technology (CICYT) for the funding received for this research through project no. AGL2004-01689.
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Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 135 • Issue 2 • April 2009
Pages: 186 - 199
Copyright
© 2009 ASCE.
History
Received: Jan 25, 2008
Accepted: Aug 17, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009
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