A Sprinkler Water Droplet Evaporation and Plant Canopy Model: II. Model Application

Thompson, Allen L.; Gilley, James R.; Norman, John M.

doi:10.13031/2013.28393

Cited by 74 publications

(68 citation statements)

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“…Both sources of experimental data show that transpiration is highly but not completely reduced during irrigation. This complete reduction of transpiration was predicted by simulation models such as that of Thompson et al (1993).…”

Section: Resultsmentioning

confidence: 65%

Evolution of Corn Transpiration and Leaf Water Potential During Sprinkler Irrigation

Martı́nez-Cob¹,

Fernández-Navajas²,

Durán³

et al. 2009

Acta Hortic.

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Corn (Zea mays L.) transpiration during daytime solid-set sprinkler irrigation was analyzed on two neighbouring subplots to determine the effect of the transpiration reduction on water application efficiency. During each irrigation event, one subplot was irrigated (moist treatment) while the other was not (dry treatment). Transpiration rates were determined at each subplot by the heat balance method (Dynamax Flow4 System) before, during and after the irrigations. During irrigations, there was a significant decrease in transpiration (60 %) for the moist treatment. Within the first hour after irrigation, transpiration rates were also smaller for the moist treatment, but the reduction was lower (17 %). It was found a significant correlation between the transpiration reduction and the decrease of water vapor deficit during, and after the irrigation event. Leaf water potential during the irrigation increased (about 61 %) for the moist treatment, which suggests that the reduction of transpiration was not due to stomata closure but to smaller water vapor gradient between the plant and the surrounding atmosphere.

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Section: Resultsmentioning

confidence: 65%

Evolution of Corn Transpiration and Leaf Water Potential During Sprinkler Irrigation

Martı́nez-Cob¹,

Fernández-Navajas²,

Durán³

et al. 2009

Acta Hortic.

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“…Anyway to further deepen the state-of-the-art one could refer to other publications by De Wrachien and Lorenzini [ [7][8][9]; some more information on spray kinematics modelling (mainly Lagrangian) both in sprinkler irrigation and in chemical sprays contexts are also available in [3,[14][15][16], while spray drift Lagrangian modelling is treated in [17,18]. Recently in [ [7][8][9] it was also defined and validated (see also: [2,6]) a simplified analytical model to solve water droplets kinematics based on the system of equations:…”

Section: The Classic Kinematic Approachmentioning

confidence: 99%

“…Equation (6) can be re-written in the form of continuity and Euler-type "quantum fluid-dynamic equations", respectively [11,21,22]:…”

Section: The Quantum Kinematics Approachmentioning

confidence: 99%

“…This of course should not be taken as a form of underestimation of the analytical complications due to the not-negligible mutual affections (non-linearities) between the parameters, on the one hand, and the particles involved, on the other. In fact the main thematic scientific literature [2][3][4][5][6] tries to overcome such computational complication binding the solutions achieved to the specific case studies faced. In general, however, the kinematic analysis of sprinkler water droplets during their aerial path is made adopting a Newtonian approach and considering a single-droplet system.…”

Section: Introductionmentioning

confidence: 99%

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Water drops kinematic analysis: the classic-quantum and single-multiparticle viewpoints

Wrachien

Lorenzini

2012

Open Engineering

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One of the most challenging modelling problems in science is that of a particle crossing a gaseous mean. In sprinkler irrigation this applies to a water droplet travelling from the nozzle to the ground. The challenge mainly refers to the intense difficulty in writing and solving the system of governing equations for such complicate process, where many non-linearities occur when describing the relations and dependences among one influential parameter and another. The problem becomes even more complicate when not just a single droplet alone is assessed but a multi-droplet system is accounted for as, in addition to the inter-parameter dependencies, it is also observed an inter-droplet reciprocal affection, mainly due to electrical interactions between the hydrogen and the oxygen atoms of the different water molecules. An alternative to traditional classic approaches to analyse water droplet dynamics in sprinkler irrigation have been recently proposed in the form of a quantum approach, but the whole classic-quantum and single-droplet versus multi-droplet alternatives need to be discussed and pinpointed and these are among the main aims of the present paper which focuses on the theoretical part of the issue, thus highlighting the new perspectives of a deeper comprehension in the spray flow related phenomena.

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“…• Experimentally [1][2][3], it is difficult to compute the effect of each single environmental parameter on aerial droplet dynamics, by distinguishing its effect from those of the other affecting parameters. In particular, when experimentally investigating aerial evaporation of a droplet, the results are often expressed by small numbers or percentages, the reliability of which depend on the typical error of measurement limits, which are sometimes of the same order of magnitude as the computed values.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and experimental analysis on the thermal fluid dynamics of water droplets in irrigation

Lorenzini¹,

Wrachien²

2006

WIT Transactions on Ecology and the Environment, 96

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A complete thermal fluid dynamics analysis of a sprinkler droplet following its path from the sprinkler nozzle to the ground is made difficult by the high nonlinearity of the differential equations describing the phenomenon. This fact, caused by a great inter-dependence between the parameters that play a role in the process, is partially overcome in this paper by representing the process in terms of force balance to which a few simplifying hypotheses are applied. The goal of this approach is to make the description entirely analytical thus avoiding any empiricisms that could limit the generality of the study. The model realised is able to provide reliable kinematic data, which prove to match significantly with data available in literature, especially for higher Reynolds numbers. The paper also shows an application of the model to the computation of the aerial evaporation of a water droplet: quantitatively, this part of the study is able to provide an upper limit of the friction-induced phenomenon only, however qualitatively the consequent analysis of the results opens a new window on the full understanding of the aerial evaporation of sprinkler water, highlighting the possible role played by certain environmental parameters, such as air friction and air temperature. This latter analysis also involved careful experimental activity, which is also presented herein.

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A Sprinkler Water Droplet Evaporation and Plant Canopy Model: II. Model Application

Cited by 74 publications

References 0 publications

Evolution of Corn Transpiration and Leaf Water Potential During Sprinkler Irrigation

Evolution of Corn Transpiration and Leaf Water Potential During Sprinkler Irrigation

Water drops kinematic analysis: the classic-quantum and single-multiparticle viewpoints

Theoretical and experimental analysis on the thermal fluid dynamics of water droplets in irrigation

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