The equations governing one‐dimensional steady flow in distribution channels are presented. They consist of the dynamical relation for the surface profile and appropriate outflow laws for the lateral outflow types sideweir, side‐opening and bottom‐opening. Further investigations concern simplifications regarding the frictional slope and the separation loss gradient. The integrated form of the equation for the free surface profile is of Bernoulli‐type, yet it is based on the balance of axial momentum. A classification of typical solutions and specifications for the boundary conditions in distribution channels of rectangular cross section are given. It is demonstrated that pseudouniform flow conditions result in uniform lateral outflow. Experiments have been performed to check the validity of the one‐dimensional model equations. The computation procedure is summarized and plots of the general solution are presented.
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Hager et al. (1986) studied this question.
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