Simulating the dynamics of spray droplets in the atmosphere using ballistic and random-walk models combined

This paper presents a simulation model based on earlier work that combines both ballistic and random-walk models to describe the three-dimensional dynamics of spray droplets released in a specified direction from ground-based appliances in various weather conditions. The velocity of spray droplets i...

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Published inJournal of wind engineering and industrial aerodynamics Vol. 67; pp. 923 - 933
Main Authors Mokeba, M.L., Salt, D.W., Lee, B.E., Ford, M.G.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.04.1997
Elsevier Science
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Abstract This paper presents a simulation model based on earlier work that combines both ballistic and random-walk models to describe the three-dimensional dynamics of spray droplets released in a specified direction from ground-based appliances in various weather conditions. The velocity of spray droplets is considered as a weighted sum of their ballistic and random-walk velocities scaled by a factor (1−β) and β, respectively, where β is defined as the ratio of the sedimentation velocity and the relative velocity between the spray droplets and the ambient wind speed. The contribution of the random-walk model to the initial velocity is seen to be negligible at first, but increases progressively, though not proportionally, as β increases. As soon as the spray droplets attain their sedimentation velocities, β = 1, the random-walk velocity component predominates and β plays no further part in the calculations. The predicted effects close to the sprayer of the drop size, wind velocity and direction, evaporation on the transport process have been evaluated and combined to provide an analysis of spray drift.
AbstractList The trajectories of agrochemical spray droplets are controlled by the prevailing atmospheric conditions, including the frictional forces due to wind motion and external body forces like gravity. A three-dimensional model is developed to calculate the dynamics of spray droplets, which accounts for the combined effects of turbulence and momentum loss by considering the velocities of the spray droplets as a weighted sum of their ballistic and random-walk velocities. The ballistic velocities are calculated using Newton's second law of motion, and the random-walk velocities are obtained using the Markov process. The effects of air entrainment and evaporation are also considered. All governing equations are elucidated, and results are presented from a preliminary model evaluation using two weather conditions.
This paper presents a simulation model based on earlier work that combines both ballistic and random-walk models to describe the three-dimensional dynamics of spray droplets released in a specified direction from ground-based appliances in various weather conditions. The velocity of spray droplets is considered as a weighted sum of their ballistic and random-walk velocities scaled by a factor (1−β) and β, respectively, where β is defined as the ratio of the sedimentation velocity and the relative velocity between the spray droplets and the ambient wind speed. The contribution of the random-walk model to the initial velocity is seen to be negligible at first, but increases progressively, though not proportionally, as β increases. As soon as the spray droplets attain their sedimentation velocities, β = 1, the random-walk velocity component predominates and β plays no further part in the calculations. The predicted effects close to the sprayer of the drop size, wind velocity and direction, evaporation on the transport process have been evaluated and combined to provide an analysis of spray drift.
This paper presents a simulation model based on earlier work that combines both ballistic and random-walk models to describe the three-dimensional dynamics of spray droplets released in a specified direction from ground-based appliances in various weather conditions. The velocity of spray droplets is considered as a weighted sum of their ballistic and random-walk velocities scaled by a factor (1- beta ) and beta , respectively, where beta is defined as the ratio of the sedimentation velocity and the relative velocity between the spray droplets and the ambient wind speed. The contribution of the random-walk model to the initial velocity is seen to be negligible at first, but increases progressively, though not proportionally, as beta increases. As soon as the spray droplets attain their sedimentation velocities, beta identical with 1, the random-walk velocity component predominates and beta plays no further part in the calculations. The predicted effects close to the sprayer of the drop size, wind velocity and direction, evaporation on the transport process have been evaluated and combined to provide an analysis of spray drift.
Author Salt, D.W.
Ford, M.G.
Lee, B.E.
Mokeba, M.L.
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Cites_doi 10.1016/0021-8634(83)90134-8
10.1016/0021-8634(77)90097-X
10.13031/2013.36835
10.1002/aic.690120416
10.1016/0021-8634(89)90046-2
10.1007/BF02186086
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Keywords Spray drift
Wind
Simulation
Dynamics
Ground-based appliances
Spray droplets
Computational fluid dynamics
Ground based measurement
Spraying
Aerodynamics
Velocity distribution
Evaporation
Ballistic transport
Droplet
Three dimensional model
Random walk model
Mixed model
Numerical simulation
Trajectory
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PublicationTitle Journal of wind engineering and industrial aerodynamics
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Elsevier Science
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Schaefer, Allsopp (BIB3) 1983; vol. 3
Briffa, Dombrowski (BIB9) 1966; 12
Ranz, Marshall (BIB10) 1952; 48
Lafara (BIB11) 1973
Thompson, Ley (BIB4) 1983; 28
Panofsky, Tennekes, Lenshow, Wyngaard (BIB7) 1977; 11
Williamson, Threadgill (BIB5) 1974; 17
Bache, Johnson (BIB6) 1992
Marchant (BIB1) 1977; 22
Panofsky, Dutton (BIB8) 1984
Schaefer (10.1016/S0167-6105(97)00129-3_BIB3) 1983; vol. 3
Panofsky (10.1016/S0167-6105(97)00129-3_BIB7) 1977; 11
Bache (10.1016/S0167-6105(97)00129-3_BIB6) 1992
Briffa (10.1016/S0167-6105(97)00129-3_BIB9) 1966; 12
Miller (10.1016/S0167-6105(97)00129-3_BIB2) 1988; 42
Thompson (10.1016/S0167-6105(97)00129-3_BIB4) 1983; 28
Panofsky (10.1016/S0167-6105(97)00129-3_BIB8) 1984
Williamson (10.1016/S0167-6105(97)00129-3_BIB5) 1974; 17
Marchant (10.1016/S0167-6105(97)00129-3_BIB1) 1977; 22
Ranz (10.1016/S0167-6105(97)00129-3_BIB10) 1952; 48
Lafara (10.1016/S0167-6105(97)00129-3_BIB11) 1973
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Snippet This paper presents a simulation model based on earlier work that combines both ballistic and random-walk models to describe the three-dimensional dynamics of...
The trajectories of agrochemical spray droplets are controlled by the prevailing atmospheric conditions, including the frictional forces due to wind motion and...
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SubjectTerms Applied sciences
Buildings. Public works
Climatology and bioclimatics for buildings
Computation methods. Tables. Charts
Computer simulation
Domestic appliances
Dynamics
Exact sciences and technology
Ground-based appliances
Mathematical models
Simulation
Spray drift
Spray droplets
Structural analysis. Stresses
Wind
Title Simulating the dynamics of spray droplets in the atmosphere using ballistic and random-walk models combined
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