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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Plant Sci.</journal-id>
<journal-title>Frontiers in Plant Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Plant Sci.</abbrev-journal-title>
<issn pub-type="epub">1664-462X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpls.2023.1265013</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Plant Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Study on atomization mechanisms and spray fragmentation characteristics of water and emulsion butachlor</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Wanting</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhong</surname>
<given-names>Wei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jia</surname>
<given-names>Weidong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2385811"/>
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<contrib contrib-type="author">
<name>
<surname>Ou</surname>
<given-names>Mingxiong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2281915"/>
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<contrib contrib-type="author">
<name>
<surname>Dong</surname>
<given-names>Xiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Tie</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Ding</surname>
<given-names>Suming</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Jiang</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xiaowen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>School of Agricultural Engineering, Jiangsu University</institution>, <addr-line>Zhenjiang, Jiangsu</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Science Innovation Center, Chinese Academy of Agriculture Mechanization Sciences Group Co., Ltd.</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Nanjing Institute of Agricultural Mechanization, Ministry of Agriculture and Rural Affairs</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Ram&#xf3;n Salcedo, Universitat Politecnica de Catalunya, Spain</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Ping Xu, Hangzhou Dianzi University, China; Zhiming Wei, Shandong Academy of Agricultural machinery Sciences, China; Ali Bayat, &#xc7;ukurova University, T&#xfc;rkiye</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Weidong Jia, <email xlink:href="mailto:jwd_ujs@163.com">jwd_ujs@163.com</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>10</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1265013</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>09</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Yang, Zhong, Jia, Ou, Dong, Zhang, Ding, Jiang and Wang</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Yang, Zhong, Jia, Ou, Dong, Zhang, Ding, Jiang and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Agricultural chemicals are commonly used to control pests and weeds, but cause pesticide waste problems. Oil-based emulsions are often used as pesticide formulations to improve pesticide utilization. In this study, the spray visualization experiment of the water and oil-based emulsion butachlor is carried out using an ST flat fan nozzle at 0.1&#x2013;0.5 MPa pressure. The dimensionless method is used to analyze the difference in liquid sheet fragmentation morphology and disintegration process and the influence of different fragmentation methods on droplet size. It is found that the hydrophobic components in pesticide have a significant effect on the morphology and process of atomization fragmentation. When spray liquid is water, the liquid sheet breaks up into liquid ligaments due to the Rayleigh instability, then the ligaments break up into droplets. The side view of a liquid sheet is a large-amplitude wave disturbance. When the spray liquid is the emulsion butachlor, holes are generated on the liquid sheet, then the holes break up into droplets. The fragmentation method of emulsion spray is the perforation mechanism. Compared with water spray, the presence of the pesticide butachlor increases the droplet size and spray angle and improves the uniformity of droplet size distribution but reduces the breakup length. The spray angle shows a power law dependence of the Weber number with a power of 0.17 for all conditions tested here. At 0.3 MPa, DV50 increases 25%, and span decreases from 1.187 to 1.172. This study could provide reference for the addition of agricultural additives, the improvement of spray operation efficiency, and the establishment of spray fragmentation mechanism.</p>
</abstract>
<kwd-group>
<kwd>agriculture</kwd>
<kwd>pesticide</kwd>
<kwd>atomization fragmentation</kwd>
<kwd>droplet size spectrum</kwd>
<kwd>spray</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="1"/>
<equation-count count="5"/>
<ref-count count="38"/>
<page-count count="11"/>
<word-count count="4460"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Sustainable and Intelligent Phytoprotection</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>At present, pesticide spraying is the most important method of modern agriculture to control crop diseases and insect pests. With the continuous progress of society and the gradual strengthening of environmental protection awareness, higher requirements have been put forward for pesticide spraying efficiency and pesticide utilization rate of plant protection machinery. How to increase the effective utilization rate of pesticides, reduce spray drift, and improve the foliar deposition has become the focus of research (<xref ref-type="bibr" rid="B13">Jun, 2012</xref>; <xref ref-type="bibr" rid="B36">Zhang et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B31">Wang et&#xa0;al., 2015</xref>).</p>
<p>The atomization process has a significant effect on the droplet size spectrum, and the droplet size has a very important effect on pesticide deposition and anti-drift spray (<xref ref-type="bibr" rid="B35">Yang et&#xa0;al., 2022</xref>). When the spray liquid contains oil-based emulsion, it would produce larger droplets than water spray when spraying through a flat fan nozzle, which is of great significance for controlling droplet drift (<xref ref-type="bibr" rid="B12">Hilz et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B4">Cryer and Altieri, 2017</xref>). From the early 1960s to the present, researchers have studied the influence of spray liquid characteristics on atomization (<xref ref-type="bibr" rid="B30">Wang et&#xa0;al., 2018</xref>). The decrease of surface tension in pure liquid leads to an increase in the growth rate in instability, which eventually leads to earlier liquid sheet breakup (<xref ref-type="bibr" rid="B16">Lefebvre and McDonell, 2017</xref>). However, studies have shown that surfactant solutions reduce surface tension and may lead to delayed breakups (<xref ref-type="bibr" rid="B21">Miller and Ellis, 2000</xref>). Surface tension is the most important physical property of spray liquids (<xref ref-type="bibr" rid="B30">Wang et&#xa0;al., 2018</xref>). How surface tension affects atomization fragmentation remains to be further explored. The visualization method could be used to study fragmentation physics well (<xref ref-type="bibr" rid="B3">Cloeter et&#xa0;al., 2010</xref>). The breakup length decreases with the increase of spray pressure. The appearance of hole structures on liquid sheet reduces the generation of droplets. When using emulsion-containing liquid spray, the emulsion droplets merge with the air/water interface of the liquid sheet, which enhances the disturbance in the turbulence and causes the perforation atomization (<xref ref-type="bibr" rid="B12">Hilz et&#xa0;al., 2012</xref>). In the atomization process of water and oil-in-water emulsions, the oil phase in the form of emulsions can shorten the length of the liquid sheet and expand the droplet size (<xref ref-type="bibr" rid="B26">Qin et&#xa0;al., 2010</xref>). The droplet size decreases with the increase of spray pressure (<xref ref-type="bibr" rid="B23">Negeed et&#xa0;al., 2011</xref>). Different nozzle structures affect the droplet size and velocity, and the addition of additives also affects the droplet size (<xref ref-type="bibr" rid="B7">Ellis and Tuck, 1999</xref>). The droplet size generated in the process of agricultural liquid atomization affects its coverage and off-target drift (<xref ref-type="bibr" rid="B2">Altieri and Cryer, 2018</xref>; <xref ref-type="bibr" rid="B11">Guler et&#xa0;al., 2020</xref>). Many studies have focused on the parameter of droplet volume median diameter, while the significant influence of droplet size divergence should be paid attention to in agricultural spraying.</p>
<p>These studies provide the basis and help for the establishment of atomization perforation regime. Although there are many studies on different liquid spray atomization mechanism, the current research on the atomization mechanism of perforation needs to be further improved. The influence of emulsion atomization mechanism on atomization quality is still a challenge (<xref ref-type="bibr" rid="B38">Zhao, 2012</xref>).</p>
<p>In this paper, the images of atomization and perforation process of water and emulsion are captured by the visualization method. The dimensionless analysis method is used to normalize the different physical properties of the spray liquid, which avoids the problem of inconsistent units of different physical properties. The spray atomization process is visualized by a high-speed camera, and the spray structure is quantitatively analyzed by image post-processing. The evolution of spray structure reflects the development of the instability of the spray liquid sheet. In addition, the effects of different atomization disturbance structures on droplet size distribution are described by measuring D<sub>V10</sub>, D<sub>V50</sub>, D<sub>V90</sub>, and span. The effects of different spray structures on droplet size divergence are studied. It provides a reference for the use of plant protection spray adjuvants and the improvement of pesticide utilization.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Material and equipment</title>
<p>The experiment was conducted in the Key Laboratory of Modern Agricultural Equipment and Technology, Ministry of Education, Jiangsu University. The experimental temperature is ambient temperature 23&#xb0;C. The spray solutions used in the experiment are water and butachlor (CAS No: 23184-66-9, Lulilai, China). The water used in the experiment is tap water, with a surface tension of 0.0724 N/m and a density of 1.019 &#xd7; 10<sup>3</sup> kg/m<sup>3</sup>. Butachlor is an oil-based emulsion pesticide, which is widely used in agricultural weed control. The concentration of butachlor in this study is 0.1%, the surface tension of this concentration is only 0.0417 N/m, and the density is 1.016 &#xd7; 10<sup>3</sup> kg/m<sup>3</sup>.</p>
<p>The nozzle used in the experiment is the standard flat fan spray nozzle (Lechler GmbH, Germany) produced by Lechler GmbH. The nozzle type is ST 110-01. The instruments used in the experiment are the i-speed high-speed camera (OLYMPUS, UK) produced by OLYMPUS company and the winner318 industrial spray laser particle size analyzer (Winner Particle, China) produced by Winner Particle technology Co., Ltd.</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Experiment setup</title>
<p>The images of water and butachlor atomization and fragmentation process are captured by a high-speed camera using a Lechler flat fan nozzle under different pressures of 0.1&#x2013;0.5 MPa provided by a pressure spray system as shown in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>. The droplet size of water and butachlor is measured by a laser particle size analyzer. A high-speed camera is placed in the direction of the fan-shaped liquid sheet plane to capture the morphological characteristics of the front of the spray liquid sheet. A second high-speed camera is placed on the side of the liquid sheet, and the structural feature information of the side view of the liquid sheet is recorded.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Pressure spray system includes supporting platform, air compressor, liquid tank, pressure regulator, and the spray nozzle.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g001.tif"/>
</fig>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Spray visualization</title>
<p>The high-speed camera introduces fixed-mode noise (FPN) into the image through an image sensor. The light sensor captures the light, converts it into an electronic copy of the optical image, and then stores the video image. The high-speed camera is set to 2,000 frames/s. Under the pressure of 0.1&#x2013;0.5 MPa, the morphological differences of the water atomization process and butachlor atomization process in the front view and side view directions of liquid sheet were captured.</p>
<p>The breakup length is defined as the distance of the pieces of the sheet rupture from the main sheet to form ligaments. The spray angle is determined as the angle formed by the boundary of the liquid sheet near the nozzle parallel to the flat fan sheet. The diffusion angle is determined as the angle formed by the boundary of liquid sheet in the direction of the side view. The image processing software Image-Pro Plus is used to measure the breakup length by calculating the pixel length in the picture. The angles are measured by the flexible two-point method also using the image processing software Image-Pro Plus (<xref ref-type="bibr" rid="B37">Wang, 2014</xref>).</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Droplet size measurement</title>
<p>At the distance of 50 cm from the nozzle outlet (<xref ref-type="bibr" rid="B33">Xiao et&#xa0;al., 2018</xref>), the droplet size spectrum of water and butachlor was measured by a laser particle size analyzer when using a standard flat fan nozzle. The droplet size was measured by the laser particle size analyzer according to the &#x201c;Fraunhofer&#x201d; diffraction principle and the typical parallel optical path design. The laser particle size analyzer uses a photoelectric detector to collect signals such as scattered light intensity and energy, and then calculates and interprets according to the scattering principle to obtain particle size information. Under the same working conditions, the instrument carries out three measurements and produces three droplet size data. The most commonly used method to characterize the droplet size is through the volume median diameter D<sub>V50</sub> (VMD). D<sub>Vm</sub> is the diameter of the droplets with a cumulative distribution of m%. The relative span value (R) is the droplet distribution span/droplet spectrum width, which is an index to measure the droplet size distribution width (<xref ref-type="bibr" rid="B6">Dombrowski and Johns, 1963</xref>; <xref ref-type="bibr" rid="B20">Matthews et&#xa0;al., 2014</xref>). The test error is less than 3%. Under different pressure conditions of 0.1&#x2013;0.5 MPa, the spraying distribution characteristics of droplet size was measured.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Dimensionless analysis</title>
<p>The dimensionless analysis method is used to analyze the obtained data. Dimensional analysis is an important method to explore the law of flow-through experiments, especially for those flow problems that are difficult to analyze theoretically. The dimensionless number generated by the fluid control equation can be used to describe the relevant physical changes in liquid sheet atomization (<xref ref-type="bibr" rid="B2">Altieri and Cryer, 2018</xref>). Within the accuracy range of this experiment, the viscosity has little effect on the droplet size (<xref ref-type="bibr" rid="B15">Kooij et&#xa0;al., 2018</xref>), and because of the significant correlation between surface tension and perforation mechanism in multiphase atomization mechanism, this study mainly focuses on the influence of surface tension and inertia force, that is, the Weber number on spray breakup mechanism (<xref ref-type="bibr" rid="B35">Yang et&#xa0;al., 2022</xref>). The surface tension of emulsion butachlor and water is measured by the CAM 101 (KSV, Finland) automatic tensiometer using the hanging drop method. The pendant drop method uses Laplace-Young fitting to fit the outline of the droplet to obtain surface tension. The Weber number is defined as (<xref ref-type="bibr" rid="B29">Tarnogrodzki, 1993</xref>):</p>
<disp-formula>
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:msup>
<mml:mi>v</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <italic>&#x3c1;</italic> is liquid density (kg/m<sup>3</sup>), <italic>v</italic> is characteristic velocity (m/s), <italic>&#x3c3;</italic> is surface tension coefficient (N/m), and <italic>l</italic> is the characteristic length of the Weber number for the flat fan nozzle with an elliptical outlet, which is defined as:</p>
<disp-formula>
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>4</mml:mn>
<mml:mo>*</mml:mo>
<mml:mfrac>
<mml:mtext>A</mml:mtext>
<mml:mi>X</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where A is the area of the flat fan nozzle outlet (m<sup>2</sup>) and X is the wetted perimeter (m).</p>
<p>Combining Equations (1) and (2) yields:</p>
<disp-formula>
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mtext>A</mml:mtext>
<mml:mi>&#x3c1;</mml:mi>
<mml:msup>
<mml:mi>v</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mtext>X</mml:mtext>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The Weber numbers of different surface tensions at different flow rates were measured to study the effect of the competition between surface tension and inertial force on the stability of liquid sheet and droplet breakup (<xref ref-type="bibr" rid="B1">Altieri et&#xa0;al., 2014</xref>). Using the dimensionless Weber number for dimensional analysis is helpful to find the functional relationship between physical quantities, especially for the complex fluid mechanics problem of agricultural spray.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Morphological characteristics and evolution process of holes on liquid sheet</title>
<p>
<xref ref-type="fig" rid="f2">
<bold>Figures&#xa0;2A, B</bold>
</xref> show the atomization process of water in the direction of front view of liquid sheet. When the spray liquid is water, the liquid at the nozzle outlet deforms due to the shear force and fluctuates during the contraction process. The liquid sheet with wave is formed due to the disturbance when leaving the nozzle outlet. There is an obvious corrugated structure on the liquid sheet formed by water spray (<xref ref-type="bibr" rid="B22">Nadeem et&#xa0;al., 2018</xref>). As the disturbance on the liquid sheet increases, the wave structure on the liquid sheet gradually tears into a liquid ligament. The liquid ligament continues to break up into droplets due to Rayleigh&#x2013;Taylor instability. These liquid ligaments are disintegrated into droplets by instability under the influence of surface tension (<xref ref-type="bibr" rid="B8">Gong et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B32">Wei et&#xa0;al., 2021</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The features of wave structures in the water atomization process. The growth process of the typical liquid sheet unstable wave structures is marked  by red circles. <bold>(A)</bold> the structural characteristics of the initial time of water atomization; <bold>(B)</bold> after 0.5 ms, the structure characteristics of water atomization.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g002.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> shows the formation and development of holes when the spray liquid is a hydrophobic butachlor solution. The liquid mass leaves the nozzle outlet to form the liquid sheet, and the pre-hole structure could be observed on the liquid sheet as shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>. The position where the pre-hole structure exists on the liquid sheet would form a broken hole, and the single broken hole and the surrounding broken holes gradually expand to form a net structure as shown in <xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3E</bold>
</xref>. The net structure continues to break up into droplets. The downward speed of the hole is basically maintained at a constant speed proximity to spray liquid jet velocity. When the pre-hole structures on the liquid sheet just forms a hole, the initial expansion speed of the hole increases slowly, then the expansion speed of the hole expansion increases, and finally the droplet is broken along the grid.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The evolution of hole structures in the emulsion butachlor atomization process. <bold>(A)</bold> 0 ms structure at the initial time; <bold>(B)</bold> 0.5ms structure; <bold>(C)</bold> 1 ms structure; <bold>(D)</bold> 1.5 ms structure; <bold>(E)</bold> 2 ms structure; <bold>(F)</bold> 2.5 ms structure; <bold>(G)</bold> 3 ms structure; <bold>(H)</bold> 3.5 ms structure.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g003.tif"/>
</fig>
<p>The change of spray angle between water and butachlor is shown in <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4A, B</bold>
</xref>. The spray angle indicates the change of spray swath and the rim disturbance of the liquid sheet. The spray angle of butachlor is 8&#xb0; larger than that of water in the same operating pressure. The spray angle of water and butachlor has a similar change trend; that is, it increases slowly with the increase of the Weber number, and the increase gradually decreases. Sprays with pesticide butachlor lead to earlier breakup of the liquid sheet, droplet formation starting closer to the nozzle, and larger spray angles.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>
<bold>(A)</bold> Spray angle varies with the Weber number of water spray; <bold>(B)</bold> spray angle varies with the Weber number of butachlor spray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g004.tif"/>
</fig>
<p>Combined with the dimensionless number analysis, the spray angle gradually increases with the increase of the Weber number. The spray angle remained at approximately 110&#xb0; (<xref ref-type="bibr" rid="B15">Kooij et&#xa0;al., 2018</xref>). Quantitatively, the spray angle shows a power law dependence of the Weber number with a power of 0.17, which is suitable for all conditions tested here,</p>
<disp-formula>
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x221d;</mml:mo>
<mml:mi>W</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mn>0.17</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x3b8;<sub>s</sub> is the spray angle (&#xb0;) and We is the Weber number (dimensionless).</p>
<p>The liquid sheet breakup length of water and emulsion butachlor varies with the Weber number, as shown in <xref ref-type="fig" rid="f5">
<bold>Figures&#xa0;5A, B</bold>
</xref>. It could be seen that with the increase of the Weber number, the liquid sheet breakup length of water decreases slowly from 20 mm to approximately 16 mm, while the liquid sheet breakup length of butachlor increases slowly from approximately 7 mm to 12 mm, which changes less with the Weber number. It is obvious that the liquid sheet breakup length of butachlor is smaller than that of water.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>
<bold>(A)</bold> Liquid sheet breakup length varies with the Weber number of water spray; <bold>(B)</bold> Liquid sheet breakup length varies with the Weber number of butachlor spray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g005.tif"/>
</fig>
<p>With the presence of emulsion butachlor, the surface tension is different from the surface tension of water spray, which reduces the stability of the liquid sheet during spray, resulting in the formation of the liquid ligament closer to the nozzle, and making the atomization area of butachlor smaller. The liquid sheet breakup length of butachlor is shorter than that of water, which is consistent with the fact that the atomization breakup of butachlor occurs earlier (<xref ref-type="bibr" rid="B7">Ellis and Tuck, 1999</xref>; <xref ref-type="bibr" rid="B34">Xie et&#xa0;al., 2013</xref>).</p>
<p>As shown in <xref ref-type="fig" rid="f6">
<bold>Figures&#xa0;6A, B</bold>
</xref>, not only is the liquid sheet breakup length of butachlor less than that of water, but the liquid sheet expansion area of butachlor is significantly smaller than that of water as well. When the emulsion is used as the spray liquid, the liquid sheet fragmentation occurs in advance, while the spray angle increases (<xref ref-type="bibr" rid="B9">Gong et&#xa0;al., 2021</xref>). It indicates that emulsion butachlor advances the atomization process and changes the liquid sheet stability.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>The liquid sheet area of water <bold>(A)</bold> and emulsion butachlor <bold>(B)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g006.tif"/>
</fig>
<p>The droplets formed by the water spray and butachlor spray have different characteristics in morphology. It could be seen from <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref> that the liquid sheet formed by water atomization is broken into liquid ligaments due to oscillation disturbance, and the liquid ligaments destabilize and break up into droplets. The droplets are distributed from ligaments and gradually spread around (<xref ref-type="bibr" rid="B27">Qin et&#xa0;al., 2018</xref>). The droplet group formed by liquid ligament fragmentation also has the same wave-like distribution due to the disturbance. As shown in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>, when the spray liquid is emulsion butachlor, the morphology of the fragmentation process changes obviously, and holes appear on the liquid sheet to form the net structures. The fragmentation mechanism changes into perforation mechanism, and the droplets are also distributed around the net. It can be seen from the image that the droplet size formed by the water spray is smaller than that formed by the butachlor spray.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>
<bold>(A)</bold> Droplet morphology characteristics and formation of water spray; <bold>(B)</bold> Droplet morphology characteristics and formation of butachlor spray.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g007.tif"/>
</fig>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Disturbance and instability of liquid sheet</title>
<p>Water atomization and butachlor atomization also have different morphological characteristics from the side view of the liquid sheet. The fluctuation of the liquid sheet presents the stability of the liquid sheet.</p>
<p>It can be seen from <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8A</bold>
</xref> that when the spray liquid is water, the disturbance fluctuation is more obvious and the fluctuation amplitude is larger. When the spray liquid is emulsion butachlor in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8B</bold>
</xref>, the fluctuation of the side is significantly reduced. The side view images of water atomization and butachlor atomization at the same position were intercepted respectively as shown in <xref ref-type="fig" rid="f8">
<bold>Figures&#xa0;8C, D</bold>
</xref>. It is obvious that the disturbance of the water spray is greater than that of butachlor. The appearance of droplets is earlier than that of the water spray in the side view image of butachlor.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>
<bold>(A)</bold> The side view morphology of water spray; <bold>(B)</bold> The side view morphology of butachlor spray; <bold>(C)</bold> water morphology local; <bold>(D)</bold> butachlor morphology local.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g008.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="f9">
<bold>Figures&#xa0;9A, B</bold>
</xref>, the diffusion angle increases with the increase of the Weber number. However, the increasing trend is weak. The diffusion angle of water is slightly larger than that of butachlor. This is consistent with the longer liquid sheet breakup length and more obvious swing of water. Moreover, all data collapse on one line of diffusion angle, i.e.,</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>
<bold>(A)</bold> Diffusion angle in water spray varies with the Weber number; <bold>(B)</bold> diffusion angle in butachlor spray varies with the Weber number.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpls-14-1265013-g009.tif"/>
</fig>
<disp-formula>
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mi>d</mml:mi>
</mml:msub>
<mml:mo>&#x221d;</mml:mo>
<mml:mi>W</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x3b8;<sub>d</sub> is the diffusion angle (&#xb0;) and We is the Weber number (dimensionless).</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Effect of emulsion butachlor on atomization droplet size</title>
<p>Droplet size is one of the key parameters affecting spray quality. Different atomization mechanisms significantly affect the droplet size spectrum. As shown in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>, the droplet size Dv<sub>50</sub> (volume median diameter) of butachlor is larger than that of water (<xref ref-type="bibr" rid="B2">Altieri and Cryer, 2018</xref>; <xref ref-type="bibr" rid="B25">Post and Hewitt, 2018</xref>). This is consistent with the liquid sheet structure characteristics captured by the high-speed camera. Fine size droplets are easy to drift. The addition of emulsion additives could effectively increase D<sub>V50</sub> and decrease D<sub>V10</sub>, thereby reducing drift, and improving pesticide utilization (<xref ref-type="bibr" rid="B2">Altieri and Cryer, 2018</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Dv<sub>50</sub>, Dv<sub>10</sub>, Dv<sub>90</sub>, and relative span (uniformity of droplets size) for sprays produced with water and emulsion butachlor.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Spray liquid</th>
<th valign="top" align="left"/>
<th valign="middle" align="left">0.1 MPa</th>
<th valign="middle" align="left">0.2 MPa</th>
<th valign="middle" align="left">0.3 MPa</th>
<th valign="middle" align="left">0.4 MPa</th>
<th valign="middle" align="left">0.5 MPa</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" rowspan="4" align="left">Water</td>
<td valign="middle" align="left">Relative Span</td>
<td valign="middle" align="left">1.165</td>
<td valign="middle" align="left">1.216</td>
<td valign="middle" align="left">1.187</td>
<td valign="middle" align="left">1.370</td>
<td valign="middle" align="left">1.467</td>
</tr>
<tr>
<td valign="middle" align="left">Dv<sub>50</sub> (&#x3bc;m)</td>
<td valign="middle" align="left">229.563</td>
<td valign="middle" align="left">178.668</td>
<td valign="middle" align="left">156.067</td>
<td valign="middle" align="left">146.817</td>
<td valign="middle" align="left">138.365</td>
</tr>
<tr>
<td valign="middle" align="left">Dv<sub>10</sub> (&#x3bc;m)</td>
<td valign="middle" align="left">122.207</td>
<td valign="middle" align="left">85.743</td>
<td valign="middle" align="left">76.636</td>
<td valign="middle" align="left">68.494</td>
<td valign="middle" align="left">63.024</td>
</tr>
<tr>
<td valign="middle" align="left">Dv<sub>90</sub> (&#x3bc;m)</td>
<td valign="middle" align="left">389.548</td>
<td valign="middle" align="left">302.935</td>
<td valign="middle" align="left">261.809</td>
<td valign="middle" align="left">269.643</td>
<td valign="middle" align="left">265.973</td>
</tr>
<tr>
<td valign="top" rowspan="4" align="left">Oil-based emulsion butachlor</td>
<td valign="middle" align="left">Relative Span</td>
<td valign="middle" align="left">1.067</td>
<td valign="middle" align="left">1.2387</td>
<td valign="middle" align="left">1.172</td>
<td valign="middle" align="left">1.183</td>
<td valign="middle" align="left">1.213</td>
</tr>
<tr>
<td valign="middle" align="left">Dv<sub>50</sub> (&#x3bc;m)</td>
<td valign="middle" align="left">387.474</td>
<td valign="middle" align="left">234.55</td>
<td valign="middle" align="left">194.57</td>
<td valign="middle" align="left">178.46</td>
<td valign="middle" align="left">165.608</td>
</tr>
<tr>
<td valign="middle" align="left">Dv<sub>10</sub> (&#x3bc;m)</td>
<td valign="middle" align="left">201.702</td>
<td valign="middle" align="left">128.817</td>
<td valign="middle" align="left">98.989</td>
<td valign="middle" align="left">86.644</td>
<td valign="middle" align="left">75.5</td>
</tr>
<tr>
<td valign="middle" align="left">Dv<sub>90</sub> (&#x3bc;m)</td>
<td valign="middle" align="left">615.113</td>
<td valign="middle" align="left">419.26</td>
<td valign="middle" align="left">326.967</td>
<td valign="middle" align="left">297.812</td>
<td valign="middle" align="left">276.434</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The influence of spray process on the formation of droplets is further analyzed by analyzing the relative span. The relative span is a measure of droplet size distribution. The smaller the relative span, the narrower the droplet size spectrum, and the more consistent the droplet size. The droplet size decreases with the increase of spray pressure, regardless of spray type (water or butachlor), while the relative span increases with the increase of pressure. Butachlor emulsion spray not only increased the droplet size but also improved the uniformity of droplet size distribution. At 0.3 MPa, D<sub>V50</sub> increased 25%, and the span decreased from 1.187 to 1.172. This may be attributed to the fact that the spray of emulsion butachlor changes the formation process of droplets and weakens the disturbance of the liquid sheet. The droplet size generated from the hole structure is more uniform than that generated from the surface wave structures. This result helps to improve the quality of sprays and reduces pesticide waste by adjusting pesticide formulations.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Pesticide spraying is the primary means of controlling insects and weeds. The use of pesticides has a significant impact on crop yields and the health of surrounding ecosystems and workers (<xref ref-type="bibr" rid="B24">Paudel et&#xa0;al., 2020</xref>). However, the atomization mechanism of pesticide spraying is complex, and the relevant theoretical research is insufficient (<xref ref-type="bibr" rid="B12">Hilz et&#xa0;al., 2012</xref>). Taking water and emulsion concentrate pesticides as the research object aimed to deeply analyze the influence of emulsion concentrate pesticide atomization on atomized droplet size based on the study of the characteristics, development, and fragmentation process of the liquid sheet structure and the evolution process of fragmentation. The characteristics of the spray liquid sheet structure reflect the liquid sheet breakup dynamics (<xref ref-type="bibr" rid="B18">Li et&#xa0;al., 2020</xref>).</p>
<p>When the water is atomized, the structural characteristics of the liquid sheet are mainly the surface wave structures of continuous disturbance. This is because the main cause of the instability of the liquid sheet is the velocity difference between the liquid phase and the surrounding air phase. The existence of velocity difference leads to the generation of surface wave structures. With the development of surface wave, the liquid sheet breaks up to form droplets. Emulsion pesticide atomization has completely different structural characteristics; that is, it has completely different fragmentation mechanical properties. The presence of emulsion components leads to the appearance of hole structures on the liquid sheet (<xref ref-type="bibr" rid="B10">Goual et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B28">Siddharth, 2021</xref>). The existence of holes changes the instability process of liquid sheet and the formation of droplets (<xref ref-type="bibr" rid="B17">Li et&#xa0;al., 2021</xref>).</p>
<p>The development of liquid sheet is affected by surface tension and inertial force. Therefore, this study quantitatively studied the relationship between the Weber number and liquid sheet structure characteristics, which is used to characterize the process of liquid sheet instability and droplet formation. We found that the perforation mechanism slightly increased the spray angle (<xref ref-type="bibr" rid="B14">Kim et&#xa0;al., 2021</xref>). Under the same surface tension, only the spray velocity is changed; that is, only the inertia force is changed. The spray angle of either mechanism shows the same trend with the Weber number; that is, it shows a power law relationship with the Weber number. When the inertia force is the same, the smaller the surface tension, the larger the spray angle. The size of the liquid sheet breakup length reflects the order of liquid sheet instability. The liquid sheet breakup length of the emulsion butachlor is smaller than that of water, which proves that the emulsion leads to the early breakage of the liquid sheet. Compared with water atomization, pesticide atomization is less affected by inertial force. The change trend of the diffusion angle with the Weber number also confirms each other. In summary, it leads to a larger droplet size and a more consistent droplet size spectrum of the emulsion pesticide butachlor atomization.</p>
<p>Emulsion pesticide sprays involve the complex multi-phase flow of water, oil, gas, and solid (<xref ref-type="bibr" rid="B5">Cryer et&#xa0;al., 2021</xref>). Their flow structure and flow characteristics are more complicated than those of pure water. Correlation studies involve a challenging scientific exploration and expansion of the theoretical system of single-phase fluid atomization. The purpose of reducing spray drift, improving atomization quality, and improving the effective utilization rate of pesticides could be achieved by preparing appropriate liquid and matching appropriate spray conditions to control spray stability, and then controlling the size and speed of droplets (<xref ref-type="bibr" rid="B19">Makhnenko et&#xa0;al., 2021</xref>).</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this paper, the atomization process through a standard flat fan nozzle of water and butachlor emulsion was visualized using a high-speed camera. By means of experimental research and dimensionless analysis, the differences of the atomization process and droplet size spectrum between emulsion pesticide spray and water spray were compared:</p>
<list list-type="simple">
<list-item>
<p>(1) The spray angle of butachlor atomization is larger than that of water atomization. The spray angle shows a power law dependence of the Weber number with a power of 0.17 for all conditions tested here. However, the liquid sheet breakup length of emulsion butachlor is smaller than that of water.</p>
</list-item>
<list-item>
<p>(2) In the process of water atomization, the side view of the liquid sheet is a large waveform disturbance, while that of the butachlor atomization is a small waveform disturbance. In the meantime, the diffusion angle of water is also greater than that of butachlor.</p>
</list-item>
<list-item>
<p>(3) The atomization process and mechanism of water and emulsion butachlor are different. During water atomization, the fragmentation process in the direction of the fan-shaped liquid sheet plane shows that the liquid mass leaves the nozzle to form a liquid sheet. Wave structures are shown on the liquid sheet due to the disturbance. The unstable liquid sheet breaks up into liquid ligaments, and the liquid ligaments break up into droplets. The presence of butachlor led to the formation of pre-holes on the liquid sheet. The pre-holes developed into holes, and the holes formed a net structure and finally break up into droplets. The size of the droplets formed by the atomization of butachlor is larger than that of water atomization due to the change of fragmentation mechanisms. The presence of emulsion improves the uniformity of spray droplet size distribution. The increase in droplet size is of great significance for spray anti-drift.</p>
</list-item>
</list>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>WY: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. WZ: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. WJ: Conceptualization, Funding acquisition, Project administration, Resources, Supervision, Writing &#x2013; review &amp; editing. MO: Conceptualization, Funding acquisition, Project administration, Resources, Supervision, Writing &#x2013; review &amp; editing. XD: Conceptualization, Project administration, Resources, Supervision, Writing &#x2013; review &amp; editing. TZ: Writing &#x2013; review &amp; editing. SD: Writing &#x2013; review &amp; editing. LJ: Writing &#x2013; review &amp; editing. XW: Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The authors declare financial support was received for the research, authorship, and/or publication of this article. This work was funded by the Modern Agricultural Machinery Equipment and Technology Demonstration and Promotion Project of Jiangsu Province (NJ2021-14) and the Jiangsu Province and Education Ministry Cosponsored Synergistic Innovation Center of Modern Agricultural Equipment (XTCX1003).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors thank the Faculty of Agricultural Equipment of Jiangsu University for its facilities and support.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Author TZ is employed by the company Chinese Academy of Agriculture Mechanization Sciences Group Co., Ltd., Beijing, China.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<title>References</title>
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</person-group> (<year>2018</year>). <article-title>Break-up of sprayed emulsions from flat-fan nozzles using a hole kinematics model</article-title>. <source>Biosyst. Eng.</source> <volume>169</volume>, <fpage>104</fpage>&#x2013;<lpage>114</lpage>. doi: <pub-id pub-id-type="doi">10.1016/j.biosystemseng.2018.02.006</pub-id>
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<surname>Patil</surname> <given-names>P.</given-names>
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