%A E.F. Wood %A B.M. Harley %A F.E. Perkins %J Water Resources Research %T Transient flow routing in channel networks %X The formulation of a mathematical model to predict transient flows in hydraulic networks is presented. The network formulation consists of breaking the network up into a series of connected reaches; reducing the finite difference equations for each reach into two ‘reach’ equations; forming an exterior matrix consisting of the reach equations, external boundary conditions, and interior compatibility conditions; solving the external matrix for the end values of discharge and water surface elevation for all reaches; and back-substituting for all interior values. Examples presented include the James River, USA, estuary model (24 nodes and 26 reaches), the Cork Harbor, Ireland, estuary (13-reach double-looped network), and the Rio Bayamon basin, Puerto Rico. Results are very satisfactory when they are compared to known data. %N 3 %P 423-430 %V 11 %D 1975 %I Wiley %R doi:10.1029/WR011i003p00423 %L iiasa14020