As one of the research projects of clear formulation in hydraulic characteristics of transitional behaviours from subcritical to supercritical or vice versa, this paper deals with the hydraulic behaviours of boundary characteristics in shape, roughness and bed slope to channel transitions and controls in divergent or convergent channel.
The open channel flow in divergent or convergent channel is changed in its flow regimes by the existence of singular points of water surface profile equation based on the one-dimensional procedure in gradually varied flows, and therefore the theoretical approach in analysis of transitional flows will be established by the application of the theory of singualr point in ordinary differential equation and the topological method in non-linear mechanics.
The classification of singular points and hydraulic significance of transitional characteristics of flows passing through the singular point, and especially from a standpoint of practical application, those for the Chézy and Manning flows are presented.
The present procedure of analysis is applied not only to the flow in divergent or convergent channel but also to the flow with side in- or outflow and similar problems in hydraulics of open channel flows.
Finally, the application of the analysis described here to the discharge measurement of open channel flows is briefly discussed.
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