A mathematical model for border irrigation I. Advance and storage phases

Singh, Vijay P.; Yu, Fang

doi:10.1007/bf00259379

Cited by 2 publications

(10 citation statements)

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“…Singh and Yu (1987) used the volume balance approach and calibrated their model by experimental data from vegetated and nonvegetated borders (Atchison, 1973; Roth, 1971). Average errors were found very limited, making their approach suitable to be applied.…”

Section: Methodsmentioning

confidence: 99%

“…After the time T a , the storage phase begins to develop, where the water depth variation from upstream (normal water depth, h 0 , corresponding to the Manning equation) to downstream ( h e ) is assumed to be linear. Singh and Yu (1987) derived the temporal variation of water depth at the downstream end, h e :

h_{normale} = {([], \frac{n_{Mann}}{60 \sqrt{S_{0}}} ((), q_{0} goodbreak- \frac{K L}{T_{normala}} ((), t^{A} goodbreak- {(t - T_{normala})}^{A})))}^{0.6},

where the factor 60 makes it possible to express n Mann in (m −1/3 s), S 0 is the slope, and q 0 (m 3 /m/min) is the unit width inflow rate that, maintaining the assumption of instantaneous equilibrium at the bottom of each panel, can be related to the rainfall intensity i and to the panel length L p , with surface area S = B p × L p (Figure 1c):

q_{0} = \frac{i L_{normalp}}{60 \times 1000},

where 60 × 1000 lets q 0 be expressed in (L/h/m), and i in mm/h. In Equation (), the term in round brackets is the net outflow discharge, Q , of interest, which accounts for the infiltration during the storage phase, and it is rewritten here to express Q and i in (L/h/m), L in (m), K in (mm/h A ), n Mann in (m −1/3 s) and t and T a in hours:

Q = i L_{normalp} - \frac{K L}{60^{1 - A} T_{normala}} (t^{normalA} - {((), t goodbreak- T_{a})}^{normalA}) .

…”

Section: Methodsmentioning

confidence: 99%

“…A simplified mathematical model for border irrigation was introduced by Singh and Yu (1987). The model is described in two companion articles.…”

Section: Applying Simplified Overland Flow Modelsmentioning

confidence: 99%

“…The model is described in two companion articles. In the first article (Singh & Yu, 1987), the advance and storage phases are developed, while the second article accounts for the vertical and horizontal recession phases. For the purpose of this work, which aims to investigate the impact of solar panels on the alteration of peak discharge, only the advance and storage phases leading to the rising limb of the hydrograph were considered.…”

Section: Applying Simplified Overland Flow Modelsmentioning

confidence: 99%

“…panels, Q (L/h) and cumulated, ΣQ (L/h), obtained by upscaling to different L the Singh and Yu model(Singh & Yu, 1987) that was calibrated for L = 2.2 m.…”

mentioning

confidence: 99%

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Impact of solar panels on runoff generation process

Baiamonte,

Gristina,

Palermo

2023

Hydrological Processes

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Because of the benefits of solar energy, solar photovoltaic (PV) technology is being deployed at an unprecedented rate and the number of photovoltaic panels is sharply increasing. Agrophotovoltaic systems (solar farms) seem to be the most sustainable tools to create renewable energy without compromising agricultural production. However, utility‐scale solar energy development is land intensive and its large‐scale installation can have negative impacts on the environment. Moreover, its impacts on soil and on relative hydrological processes have been poorly studied. This article aims to evaluate the impact of solar panels on the runoff generation process, which is directly linked to the soil erosion process. Using a rainfall simulator, runoff measurements for a rainfall intensity equal to 56 mm/h were carried out by assuming different panel arrangements with respect to the maximum slope direction of the field (cross slope and aligned slope). Results were compared to a control reference of the same plot, with no panels (bare soil). Physical models found in the literature were then applied and calibrated, to upscale the models to a much higher hillslope length. Results showed that solar panels increase the peak discharge by about 11 times compared to the reference hillslope. A moderate effect of PV panel arrangement was observed on the peak discharges (11.7 and 11.5 times higher, for cross slope and aligned slope panels, respectively), whereas the time to runoff was the lowest for aligned slope panels (0.3 h), higher for cross slope panels (0.62 h), and the highest (1.2 h), for the bare soil hillslope. As it would be expected, upscaling the models to longer hillslopes resulted in increases in outlet discharges, and in the time to runoff, with an exception for aligned slope panels.

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Section: Methodsmentioning

confidence: 99%

h_{normale} = {([], \frac{n_{Mann}}{60 \sqrt{S_{0}}} ((), q_{0} goodbreak- \frac{K L}{T_{normala}} ((), t^{A} goodbreak- {(t - T_{normala})}^{A})))}^{0.6},

q_{0} = \frac{i L_{normalp}}{60 \times 1000},

Q = i L_{normalp} - \frac{K L}{60^{1 - A} T_{normala}} (t^{normalA} - {((), t goodbreak- T_{a})}^{normalA}) .

…”

Section: Methodsmentioning

confidence: 99%

“…A simplified mathematical model for border irrigation was introduced by Singh and Yu (1987). The model is described in two companion articles.…”

Section: Applying Simplified Overland Flow Modelsmentioning

confidence: 99%

Section: Applying Simplified Overland Flow Modelsmentioning

confidence: 99%

“…panels, Q (L/h) and cumulated, ΣQ (L/h), obtained by upscaling to different L the Singh and Yu model(Singh & Yu, 1987) that was calibrated for L = 2.2 m.…”

mentioning

confidence: 99%

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