Necessary and sufficient conditions for solving flow-constrained netwo
rks are developed. These conditions are predicated on the interrelatio
n between the decision variables specified and the network-flow hydrau
lics. They are applicable to even-determined models of water-distribut
ion systems. The decision variables are selected from a wide range of
pipe-system parameters and are calculated explicitly to satisfy stated
flow-equality constraints. A continuous-variable space is assumed for
the solution. The determination of such conditions is important for c
omprehensive and effective modeling and optimization of water-distribu
tion networks. These conditions can serve as guidelines to supplement
existing procedures of network analysis.