Model of droplet dynamics and evaporation for sprinkler irrigation

Information on droplet dynamics and evaporation from sprinklers is important for the design of irrigation systems. To obtain improved predictions, a modified mathematical model of droplet ballistics and evaporation for sprinkler irrigation was developed. Air drag force is an important factor affecting the droplet dynamics and evaporation. Five different schemes for calculating the air drag coefficient of droplet were compared and the optimal one was selected. From sensitivity analyses, it was concluded that droplet evaporation rate was most sensitive to droplet diameter for droplets   2 mm. The calculation scheme used by Park et al. {Transactions of the ASAE, 25(2), 357–361 (1982) and (3), 795–804, (1983)} was selected since it provided the best prediction of droplet flight distance. The model was verified using experimental results from droplet fall velocities and loss rates. The average relative error between the predicted and measured data of fall velocities and loss rates were 1.2% and 4.3%, respectively. The average relative error of the total evaporation rate between the predicted and measured data was 17.5%.

[1]  R. A. Kohl Drop Size Distribution from Medium-Sized Agricultural Sprinklers , 1974 .

[2]  J. M. Norman,et al.  A Sprinkler Water Droplet Evaporation and Plant Canopy Model: II. Model Application , 1993 .

[3]  E. D. Vories,et al.  Simulating Sprinkler Performance in Wind , 1987 .

[4]  J. M. Norman,et al.  A Sprinkler Water Droplet Evaporation and Plant Canopy Model: I. Model Development , 1993 .

[5]  Enrique Playán,et al.  Coupled crop and solid set sprinkler simulation model. II: Model application , 2004 .

[6]  W. E. Ranz,et al.  Evaporation from drops , 1952 .

[7]  G. Wallis One Dimensional Two-Phase Flow , 1969 .

[8]  C. E. Goering,et al.  Mathematical modeling of spray droplet deceleration and evaporation , 1972 .

[9]  Ido Seginer Tangential Velocity of Sprinkler Drops , 1965 .

[10]  S. W. Park,et al.  Rainfall characteristics and their relation to splash erosion , 1983 .

[11]  Y. Fukui,et al.  Computer evaluation of sprinkler irrigation uniformity , 2004, Irrigation Science.

[12]  D. C. Kincaid,et al.  Volumetric Water Drop Evaporation Measurement , 1989 .

[13]  S. W. Park,et al.  splash Erosion Modeling: Physical Analyses , 1982 .

[14]  Ido Seginer,et al.  Simulation of wind-distorted sprinkler patterns , 1991 .

[15]  D. C. Kincaid,et al.  Drop Size Distributions for Irrigation Sprinklers , 1996 .

[16]  R. J. Edling,et al.  Kinetic Energy, Evaporation and Wind Drift of Droplets from Low Pressure Irrigation Nozzles , 1985 .

[17]  Steven E. Hinkle,et al.  Falling Water Drop Velocities at 1570 m Elevation , 1987 .

[18]  S. Matsumoto,et al.  Droplet Size Distribution in Spray , 1969 .

[19]  Enrique Playán,et al.  Assessing sprinkler irrigation uniformity using a ballistic simulation model , 2006 .

[20]  R. A. Mugele,et al.  Droplet Size Distribution in Sprays , 1951 .

[21]  Larry G. James,et al.  Modeling Evaporation and Microclimate Changes in Sprinkle Irrigation: I. Model Formulation and Calibration , 1988 .

[22]  Giulio Lorenzini WATER DROPLET DYNAMICS AND EVAPORATION IN AN IRRIGATION SPRAY , 2006 .

[23]  Dennis C. Kincaid,et al.  Drop Size Distributions for Irrigation Spray Nozzles , 1985 .

[24]  Giulio Lorenzini,et al.  SIMPLIFIED MODELLING OF SPRINKLER DROPLET DYNAMICS , 2004 .