Brief Report
Mar 1975

Pumps and Reservoirs in Networks by Linear Theory

Publication: Journal of the Hydraulics Division
Volume 101, Issue 3

Abstract

In a paper, Wood and Charles presented a linear theory method (LTM) for analyzing steady flow in pipe networks. The linear theory method does not require an initialization, as do other commonly used methods, e.g., the Hardy-Cross and Newton-Raphson methods. It also converges to the solution very rapidly. The LTM solves the system of equations that considers as unknowns the flow rates in individual pipes of the network, in contrast to the Hardy-Cross or Newton-Raphson methods, which commonly consider as unknowns either the heads at the junctions or corrective flow rates around loops of the network.

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Journal of the Hydraulics Division
Volume 101Issue 3March 1975
Pages: 576 - 580

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Published in print: Mar 1975
Published online: Feb 3, 2021

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Roland W. Jeppson, M.ASCE
Prof. of Civ. and Environmental Engrg., Utah State Univ., Logan, Utah
Alireza Tavallaee
Research Asst., Univ. of Iowa, Iowa City, Iowa; formerly, Grad. Asst., Utah State Univ., Logan, Utah

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