Search results for "convergent and divergent hillslope"

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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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Overland Flow Times of Concentration for Hillslopes of Complex Topography

2016

The time of concentration is an important parameter for predicting peak discharge at the basin outlet and for designing urban infrastructure facilities. In studying the hillslope response, employing hydraulic equations of flow, the shape of the hillslope geometry has often been assumed as rectangular and planar. However, natural hillslopes have complex topographies whose shapes are characterized by irregularly spaced contour lines. Recently, kinematic wave time of concentration has been derived for rectangular and curved parallel hillslopes. This paper extends this work to hillslopes of complex planform geometry, considering the degree of divergence or convergence of the hillslope. The exte…

HydrologyComplex topography0208 environmental biotechnologyUrban infrastructure02 engineering and technologyStructural basinAgricultural and Biological Sciences (miscellaneous)020801 environmental engineeringSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliSurface runoffGeomorphologyTime of concentrationGeologyHillslope hydrology Overland flow Convergent and divergent hillslopes Concave and convex profileWater Science and TechnologyCivil and Structural Engineering
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