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It is hypothesized that river morphology is governed by the dominant discharge, saturation of sediment discharge, and maximization of Froude number leading to the minimum amount of energy dissipation. The minimum energy dissipation rate may be achieved by the adjustment of sediment transport rate, friction factor, or Froude number of the flow under some special conditions. This chapter discusses the derivation of river geometry based on the minimization of energy dissipation rate or the aforementioned factors.
Alluvial channels are continuously modified by sediment movement and exist in comparative equilibrium. The longitudinal profiles and cross-sections of these channels depend on hydraulic and sediment factors and boundary conditions which govern channel morphology. This chapter discusses the theory of channel mobility leading to stable hydraulic geometry.
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