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Design of a stable alluvial channel is based on the hypothesis that the equilibrium state of a channel corresponds to maximum flow. The channel design can then be accomplished by employing the continuity equation, resistance law, sediment transport equation, and the channel cross-section shape. This chapter derives the channel hydraulic geometry for primarily three cross-sections, namely trapezoidal, rectangular, and triangular.
The interrelationship between flow, sediment transport, channel resistance, and bank stability determines the regime of a channel in alluvium, meaning channel shape and stability. Thus, the regime theory predicts the size, shape, and slope of a stable alluvial channel under given conditions. This chapter presents regime relations for channel width, depth, and gradient.
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