0000000000285986

AUTHOR

Cecilia Corrao

showing 2 related works from this author

A simple model of hillslope response for overland flow generation

2001

This paper deals with the derivation of the hydrological response of a hillslope on the assumption of quick runoff by surface runoff generation. By using the simple non-linear storage based model, first proposed by Horton, an analytical solution of the overland flow equations over a plane hillslope was derived. This solution establishes a generalization for different flow regimes of Horton's original solution, which is valid for the transitional flow regime only. The solution proposed was compared successfully with that of Horton and, for the turbulent flow regime, to the one derived from kinematic wave theory. This solution can be applied easily to both stationary and non-stationary rainfa…

Kinematic waveMathematical modelMeteorologyFlow (mathematics)Plane (geometry)TurbulenceGeneralizationMechanicsFunction (mathematics)Surface runoffWater Science and TechnologyMathematicsHydrological Processes
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Overland flow generation on hillslopes of complex topography: analytical Solutions

2007

The analytical solution of the overland flow equations developed by Agnese et al. (2001; Hydrological Processes15: 3225–3238) for rectangular straight hillslopes was extended to convergent and divergent surfaces and to concave and convex profiles. Towards this aim, the conical convergent and divergent surfaces are approximated by a trapezoidal shape, and the overland flow is assumed to be always one-dimensional. A simple ‘shape factor’ accounting for both planform geometry and profile shape was introduced: for each planform geometry, a brachistochrone profile was obtained by minimizing a functional containing a slope function of the profile. Minima shape factors are associated with brachist…

brachistochroneRegular polygonGeometryConical surfaceFunction (mathematics)analytical solutionMaxima and minimaoverland flowSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestaliconvergent and divergent hillslopeShape factorDivergence (statistics)Surface runoffoverland flow; convergent and divergent hillslopes; concave and convex profiles; analytical solution; brachistochroneconcave and convex profileBrachistochrone curveGeologyWater Science and Technology
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