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J. Eng . Te c hno l. Sc i., Vo l. 47, No . 3, 2015, 296-305
Received March 12
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Revision October 16
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Revision November 27
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March 17
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, 2015, Accepted for publication May 11
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, 2015.
Copyright ©2015 Published by ITB Journal Publisher, ISSN: 2337-5779, DOI: 10.5614/j.eng.technol.sci.2015.47.3.5
Analytical Study of Wind Influence on In-Flight
Sprinkler Droplets
Frank Agyen Dwomoh
1,2*
, Yuan Shouqi
1
& Li Hong
1
1
Research Centre of Fluid Machinery Engineering and Technology,
Jiangsu University, 212013, Zhenjiang, Jiangsu, P. R. China
2
School of Engineering, Koforidua Polytechnic, P.O. Box 981 Ghana
*
Email: agyen2007@gmail.com
Abstract. An analytical model to describe the dynamics of in-flight droplets is
presented in this paper to augment information on wind influence on travel
distance of in-flight sprinkler droplets. The model is ballistic-theory based. It
employs a relatively simple, wide-range empirical relationship between drag
coefficient and Reynolds’ number to replace the several sets of relations for a
specified range of Reynolds numbers. The fourth-order Runge-Kutta numerical
integration techniques were used to solve the trajectory equations. A modified
exponential model for droplet size distribution was used during the simulation.
Comparative analysis showed that agreement exists between the predictions of
this model and that of earlier models. Droplets with a diameter smaller than
0.1 mm travelled farthest. Within the droplet range of 0.5 mm to 4.5 mm, as
droplet diameter increased, travelled distance increased with increasing wind
speed. The extent of drift increased sharply within the droplet range of 0.5 mm to
0.05 mm and increased mildly for droplet diameters greater than 0.5 mm. The
model also attempts to identify droplets that are likely to contribute to drift loss
and those that have a high probability of contributing only to distortion of the
distribution pattern.
Keywords: analytical model; droplet drift; distribution pattern; simulation; sprinkler
droplets; traveled distance; wind influence.
1 Introduction
The influence of wind during sprinkler irrigation pose challenges that need
attention especially in this era of water conservation towards a sustainable use
of resources. Most sprinklers apply water to the ground by projecting water jets
into the air at high velocity, which later fall down as water droplets. Under
windy conditions, in-flight sprinkler water droplets may impact the ground or
plant canopy, experience droplet evaporation or be wind drifted [1-3].
Sprinkler droplet travel under no-wind condition is undisturbed and thus a
characteristic of the sprinkler nozzle for a given operation configuration. If
droplets travel beyond their characteristic distances for the same sprinkler