Search results for " Analytical solution"

showing 2 items of 12 documents

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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Dual-Diameter Laterals in Center-Pivot Irrigation System

2022

Design strategies to enhance modern irrigation practices, reduce energy consumption, and improve water use efficiency and crop yields are fundamental for sustainability. Concerning Center-Pivot Irrigation Systems, different design procedures aimed at optimizing water use efficiency have been proposed. Recently, following a gradually decreasing sprinkler spacing along the pivot lateral with constant diameter and sprinkler flow rate, a new design method providing a uniform water application rate has been introduced. However, no suggestions were given to design multiple-diameter laterals characterized by different values of the inside pipe diameter. In this paper, first the previous design pro…

center-pivotanalytical solutionerror analysiGeography Planning and Developmentgradually decreasing sprinkler spacingdual-diameter pipeuniform water application rateSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-Forestalicenter-pivot; analytical solutions; dual-diameter pipes; error analysis; gradually decreasing sprinkler spacing; uniform water application rateAquatic ScienceBiochemistryWater Science and TechnologyWater; Volume 14; Issue 15; Pages: 2292
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