In pesticide and fertilizer applications, retention of spray droplets after they reach the target surface can be limited by droplets splashing, rebounding, or rolling off of the surface. In this study, a novel approach is presented for quantifying the retention efficiency. This approach enables testing of the influence of polymer additives for enhancing the retention efficiency of both real and model agricultural sprays. The results demonstrate that increasing the extensional rheology of the spray solution can increase the retention efficiency by up to 20% and in some cases achieve a total efficiency greater than 95%. The results are consistent on both synthetic surfaces and plant surfaces and suggest that for a particular polymer and surface, the extensional relaxation time alone is sufficient to predict the retention efficiency.

1.
E.-C.
Oerke
, “
Crop losses to pests
,”
J. Agric. Sci.
144
,
31
43
(
2006
).
2.
E.
Hilz
and
A. W. P.
Vermeer
, “
Spray drift review: The extent to which a formulation can contribute to spray drift reduction
,”
Crop Prot.
44
,
75
83
(
2013
).
3.
J. A.
Zabkiewicz
, “
Spray formulation efficacy-holistic and futuristic perspectives
,”
Crop Protection
26
(
3
),
312
319
(
2007
).
4.
A. S.
Felsot
 et al., “
Agrochemical spray drift; assessment and mitigation—A review*
,”
J. Environ. Sci. Health, Part B
46
(
1
),
1
23
(
2010
).
5.
M.
Al Heidary
 et al., “
Influence of spray characteristics on potential spray drift of field crop sprayers: A literature review
,”
Crop Prot.
63
,
120
130
(
2014
).
6.
X.
Zhang
 et al., “
Modeling spray drift and runoff-related inputs of pesticides to receiving water
,”
Environ. Pollut.
234
,
48
58
(
2018
).
7.
J. C.
Ferguson
 et al., “
Determining the uniformity and consistency of droplet size across spray drift reducing nozzles in a wind tunnel
,”
Crop Prot.
76
,
1
6
(
2015
).
8.
R.
Wang
 et al., “
Impacts of polymer/surfactant interactions on spray drift
,”
Colloids Surf., A
500
,
88
97
(
2016
).
9.
A.
Kalsing
 et al., “
Effect of formulations and spray nozzles on 2,4-D spray drift under field conditions
,”
Weed Technol.
32
(
4
),
379
384
(
2018
).
10.
H.
Zhao
 et al., “
Effects of sprayers and nozzles on spray drift and terminal residues of imidacloprid on wheat
,”
Crop Prot.
60
,
78
82
(
2014
).
11.
V.
Bergeron
, “
Designing intelligent fluids for controlling spray applications
,”
C. R. Phys.
4
(
2
),
211
219
(
2003
).
12.
H.
De Ruiter
 et al., “
Influence of surfactants and plant species on leaf retention of spray solutions
,”
Weed Sci.
38
(
6
),
567
572
(
1990
).
13.
A. L.
Yarin
, “
Drop impact dynamics: Splashing, spreading, receding, bouncing…
,”
Annu. Rev. Fluid Mech.
38
(
1
),
159
192
(
2006
).
14.
A.
Bordbar
 et al., “
Maximum spreading and rebound of a droplet impacting onto a spherical surface at low Weber numbers
,”
Langmuir
34
(
17
),
5149
5158
(
2018
).
15.
H.
Zhang
 et al., “
Dynamic behavior of water drops impacting on cylindrical superhydrophobic surfaces
,”
Phys. Fluids
31
(
3
),
032104
(
2019
).
16.
S.
Baek
 et al., “
Effect of liquid droplet surface tension on impact dynamics over hierarchical nanostructure surfaces
,”
Nanoscale
10
(
37
),
17842
17851
(
2018
).
17.
M.
Rein
, “
Phenomena of liquid drop impact on solid and liquid surfaces
,”
Fluid Dyn. Res.
12
(
2
),
61
(
1993
).
18.
R. L.
Vander Wal
 et al., “
The splash/non-splash boundary upon a dry surface and thin fluid film
,”
Exp. Fluids
40
(
1
),
53
59
(
2005
).
19.
X.
Zhang
 et al., “
Dynamic surface tension effects in impact of a drop with a solid surface
,”
J. Colloid Interface Sci.
187
(
1
),
166
178
(
1997
).
20.
M.
Aytouna
 et al., “
Impact dynamics of surfactant laden drops: Dynamic surface tension effects
,”
Exp. Fluids
48
(
1
),
49
57
(
2010
).
21.
D.
Richard
 et al., “
Contact time of a bouncing drop
,”
Nature
417
(
6891
),
811
(
2002
).
22.
J. C.
Bird
 et al., “
Reducing the contact time of a bouncing drop
,”
Nature
503
(
7476
),
385
388
(
2013
).
23.
V.
Bergeron
 et al., “
Controlling droplet deposition with polymer additives
,”
Nature
405
(
6788
),
772
775
(
2000
).
24.
M.
Damak
 et al., “
Enhancing droplet deposition through in-situ precipitation
,”
Nat. Commun.
7
,
12560
(
2016
).
25.
M.
Kumar
 et al., “
Aqueous dispersions of lipid nanoparticles wet hydrophobic and superhydrophobic surfaces
,”
Soft Matter
14
(
2
),
205
215
(
2018
).
26.
M. R.
Bueno
 et al., “
Assessment of spray drift from pesticide applications in soybean crops
,”
Biosyst. Eng.
154
,
35
45
(
2017
).
27.
H.
Ratajkiewicz
 et al., “
The effect of coarse-droplet spraying with double flat fan air induction nozzle and spray volume adjustment model on the efficiency of fungicides and residues in processing tomato
,”
Span. J. Agric. Res.
16
,
e1001
(
2018
).
28.
P. V.
Hobbs
 et al., “
Splashing of a water drop
,”
Science
155
(
3766
),
1112
1114
(
1967
).
29.
T.
Mao
 et al., “
Spread and rebound of liquid droplets upon impact on flat surfaces
,”
AIChE J.
43
(
9
),
2169
2179
(
1997
).
30.
R.
Crooks
 et al., “
Influence of fluid elasticity on drops impacting on dry surfaces
,”
J. Rheol.
44
(
4
),
973
996
(
2000
).
31.
J. B.
Lee
 et al., “
Dynamic wetting and spreading characteristics of a liquid droplet impinging on hydrophobic textured surfaces
,”
Langmuir
27
(
11
),
6565
6573
(
2011
).
32.
G. J.
Dorr
 et al., “
A comparison of initial spray characteristics produced by agricultural nozzles
,”
Crop Prot.
53
,
109
117
(
2013
).
33.
G. J.
Dorr
 et al., “
Impaction of spray droplets on leaves: Influence of formulation and leaf character on shatter, bounce and adhesion
,”
Exp. Fluids
56
(
7
),
143
(
2015
).
34.
S.
Hezaveh
 et al., “
Molecular dynamics simulation study of solvent effects on conformation and dynamics of polyethylene oxide and polypropylene oxide chains in water and in common organic solvents
,”
J. Chem. Phys.
136
(
12
),
124901
(
2012
).
35.
A.
Martínez-Richa
, “
Determination of molecular size of O-(2-hydroxyethyl)cellulose (HEC) and its relationship to the mechanism of enzymatic hydrolysis by cellulases
,”
Carbohydr. Polym.
87
(
3
),
2129
2136
(
2012
).
36.
C.
Alvarez-gayosso
 et al., “
Calculation of the molecular parameters of poly(acrylic acid) using intrinsic viscosity data
,”
Int. J. Polym. Mater. Polym. Biomater.
48
(
2
),
115
134
(
2001
).
37.
D. G
Mintis
 et al., “
Effect of pH and molecular length on the structure and dynamics of short poly(acrylic acid) in dilute solution: Detailed molecular dynamics study
,”
J. Phys. Chem. B
123
(
19
),
4204
4219
(
2019
).
38.
J.
Dinic
 et al., “
Extensional relaxation times of dilute, aqueous polymer solutions
,”
ACS Macro Lett.
4
(
7
),
804
808
(
2015
).
39.
J.
Dinic
 et al., “
Pinch-off dynamics and extensional relaxation times of intrinsically semi-dilute polymer solutions characterized by dripping-onto-substrate rheometry
,”
J. Polym. Sci., Part B
55
(
22
),
1692
1704
(
2017
).
40.
J.
Wei
 et al., “
Wettability on plant leaf surfaces and its effect on pesticide efficiency
,”
Int. J. Precis. Agric. Aviat.
1
(
1
),
30
(
2020
).
41.
L. N.
Jimenez
 et al., “
Extensional relaxation time, pinch-off dynamics, and printability of semidilute polyelectrolyte solutions
,”
Macromolecules
51
(
14
),
5191
5208
(
2018
).
42.
S. S.
Vadodaria
 et al., “
Extensional rheometry of cellulose ether solutions: Flow instability
,”
Cellulose
23
(
1
),
339
355
(
2016
).
43.
A.
Aliseda
 et al., “
Atomization of viscous and non-Newtonian liquids by a coaxial, high-speed gas jet. Experiments and droplet size modeling
,”
Int. J. Multiphase Flow
34
(
2
),
161
175
(
2008
).
44.
J.
Dinic
 et al., “
Macromolecular relaxation, strain, and extensibility determine elastocapillary thinning and extensional viscosity of polymer solutions
,”
Proc. Natl. Acad. Sci. U. S. A.
116
(
18
),
8766
8774
(
2019
).
45.
H.-J.
Jang
 et al., “
Safety evaluation of polyethylene glycol (PEG) compounds for cosmetic use
,”
Toxicol. Res.
31
(
2
),
105
136
(
2015
).
46.
D. W.
Lawlor
, “
Absorption of polyethylene glycols by plants and their effects on plant growth
,”
New Phytol.
69
(
2
),
501
513
(
1970
).
47.
L. C.
Xu
 et al., “
Antibacterial polyurethanes
,” in
Advances in Polyurethane Biomaterials
, edited by
S. L.
Cooper
, et al.
(
Woodhead Publishing
,
2016
), pp.
247
284
.
48.
B.
Liu
 et al., “
Ionic strength sensing in living cells
,”
ACS Chem. Biol.
12
(
10
),
2510
2514
(
2017
).
49.
M. F.
Torres
 et al., “
Shear and extensional rheology of solutions of mixtures of poly(ethylene oxide) and anionic surfactants in ionic environments
,”
J. Colloid Interface Sci.
326
(
1
),
254
260
(
2008
).
50.
E. E.
Dormidontova
, “
Influence of end groups on phase behavior and properties of PEO in aqueous solutions
,”
Macromolecules
37
(
20
),
7747
7761
(
2004
).
51.
I. M.
Henderson
 et al., “
Ionic effects on the behavior of thermoresponsive PEO-PNIPAAm block copolymers
,”
J. Polym. Sci., Part B
52
(
7
),
507
516
(
2014
).
52.
M.
Massinon
 et al., “
Spray droplet impaction outcomes for different plant species and spray formulations
,”
Crop Prot.
99
,
65
75
(
2017
).
53.
B.
Keshavarz
 et al., “
Studying the effects of elongational properties on atomization of weakly viscoelastic solutions using Rayleigh Ohnesorge Jetting Extensional Rheometry (ROJER)
,”
J. Non-Newtonian Fluid Mech.
222
,
171
189
(
2015
), special issue on: Rheometry (and General Rheology): Festschrift dedicated to Professor K. Walters FRS on the occasion of his 80th birthday.
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