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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">855438</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.855438</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Study on Optimization of the Dedusting Air Duct Layout in Coal Mine Roadway</article-title>
<alt-title alt-title-type="left-running-head">Zhang et al.</alt-title>
<alt-title alt-title-type="right-running-head">Optimization of the Dedusting-Air Duct Layout</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Huangqing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Rong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1400762/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chun</surname>
<given-names>Junwei</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xue</surname>
<given-names>Quanwen</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fan</surname>
<given-names>Jinyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Resources and Safety Engineering</institution>, <institution>Chongqing University</institution>, <addr-line>Chongqing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>State Key Laboratory of Coal Mine Disaster Dynamics and Control</institution>, <institution>Chongqing University</institution>, <addr-line>Chongqing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Guizhou Transportation Planning Survey &#x26; Design Academe Co. LTD</institution>, <addr-line>Guiyang</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Shanxi Construction Engineering Group Co. LTD</institution>, <addr-line>Taiyuan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1335053/overview">Alexandre Chemenda</ext-link>, UMR 7329 G&#xe9;oazur (GEOAZUR), France</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1554761/overview">Yunzhong Jia</ext-link>, Uppsala University, Sweden</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1476872/overview">Zhengyang Song</ext-link>, University of Science and Technology Beijing, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Rong Liu, <email>cqu_liurong@163.com</email>; Jinyang Fan, <email>149026673@qq.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Geohazards and Georisks, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>855438</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>01</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Zhang, Liu, Chun, Xue and Fan.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhang, Liu, Chun, Xue and Fan</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>Coal dust pollution in fully mechanized excavation faces not only affects the safety production of the coal mine but also threatens the health of workers. In order to reduce coal dust pollution and improve work conditions in mines, the layout of the dedusting-air duct in the dry dust collector and the influence of the duct position on the dust-producing area were studied. In addition, the effects of different cutting positions on dust removal efficiency were also studied. A full-scale model of mine roadway is established by CFD, and the influence of the position of the dedusting-air duct on dust diffusion and the distance between the tunneling head and the dedusting air duct on dust removal efficiency are studied. The results show that the higher the cutting position, the higher the dust concentration, and the longer the dust diffusion time in the coal roadway. When the distance between the dedusting-air duct and the tunneling head is set to 4 or 5&#xa0;m, the dust removal efficiency is the highest. Moreover, the dust removal efficiency of the dry dust collector with the dedusting air duct arranged on the opposite side of the roadway is higher than that of the collector with the duct in the middle of the roadway.</p>
</abstract>
<kwd-group>
<kwd>coal dust</kwd>
<kwd>different cutting positions</kwd>
<kwd>dedusting-air duct layout</kwd>
<kwd>dust migration</kwd>
<kwd>CFD</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Although the development of new energy is in the ascendant, coal still occupies the main position of energy utilization (<xref ref-type="bibr" rid="B2">Balat, 2009</xref>; <xref ref-type="bibr" rid="B74">Zhang et al., 2017</xref>; <xref ref-type="bibr" rid="B49">Song et al., 2018</xref>; <xref ref-type="bibr" rid="B31">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B50">Song Z. et al., 2021</xref>). The large demand for coal has led to the development of mining technology from the aspect of mechanization and automation (<xref ref-type="bibr" rid="B14">Fan et al., 2020c</xref>; <xref ref-type="bibr" rid="B36">Liu et al., 2020b</xref>; <xref ref-type="bibr" rid="B37">Liu et al., 2020c</xref>; <xref ref-type="bibr" rid="B42">Peng et al., 2020</xref>; <xref ref-type="bibr" rid="B26">Jiang et al., 2021</xref>). Although remarkable achievements have been obtained, the amount of dust generated during mining has surged dramatically (<xref ref-type="bibr" rid="B6">Chen et al., 2019</xref>; <xref ref-type="bibr" rid="B62">Xu et al., 2019</xref>; <xref ref-type="bibr" rid="B64">Yang et al., 2019</xref>; <xref ref-type="bibr" rid="B33">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B45">Ren et al., 2021</xref>). A fully mechanized tunneling face is the main dust source, accounting for about 60% of the total amount of coal dust generated in mines, and the remaining dust comes from tunnel construction blasting (<xref ref-type="bibr" rid="B12">Fan et al., 2020a</xref>; <xref ref-type="bibr" rid="B13">Fan et al., 2020b</xref>; <xref ref-type="bibr" rid="B27">Kang et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Ma et al., 2021</xref>; <xref ref-type="bibr" rid="B73">Zhang X. et al., 2021</xref>). In the absence of dust filtering methods, the coal dust concentration may exceed 3,000&#xa0;mg/m<sup>3</sup> (<xref ref-type="bibr" rid="B59">Wang et al., 2015</xref>; <xref ref-type="bibr" rid="B5">Chen et al., 2018</xref>; <xref ref-type="bibr" rid="B66">Yin et al., 2019</xref>). The threats of coal dust mainly manifest in three aspects. First, the coal dust threatens the physical and mental health of workers by causing pneumoconiosis and other diseases (<xref ref-type="bibr" rid="B25">Jiang et al., 2016</xref>; <xref ref-type="bibr" rid="B11">Fan et al., 2019</xref>; <xref ref-type="bibr" rid="B53">Tong et al., 2019</xref>; <xref ref-type="bibr" rid="B30">Li D. et al., 2021</xref>). According to the report of China&#x2019;s Health Commission (<xref ref-type="bibr" rid="B9">Commission, 2019</xref>), more than 20,000 new cases of occupational disease cases were reported annually in China from 2010 to 2018, of which more than 80% of these cases are pneumoconiosis. Second, high coal dust concentration is prone to explosion, which may result in catastrophe, economic losses, and casualties (<xref ref-type="bibr" rid="B7">Cheng et al., 2013</xref>; <xref ref-type="bibr" rid="B1">Azam and Mishra, 2019</xref>). Third, studies show that the coal dust shortens the equipment&#x2019;s service life, reduces the visibility of the working face, and pollutes the underground working environment (<xref ref-type="bibr" rid="B51">Strzemecka et al., 2019</xref>; <xref ref-type="bibr" rid="B35">Liu R. et al., 2020</xref>; <xref ref-type="bibr" rid="B48">Song et al., 2020</xref>). Therefore, it is of significant importance to reduce the dust concentration in coal mining, which is necessary to improve workers&#x2019; health and work condition and prevent coal dust explosion in the coal mining industry (<xref ref-type="bibr" rid="B28">Knapp and Krautblatter, 2020</xref>; <xref ref-type="bibr" rid="B29">Li D.-Y. et al., 2021</xref>; <xref ref-type="bibr" rid="B39">Mallios et al., 2021</xref>; <xref ref-type="bibr" rid="B43">Qiang et al., 2021</xref>; <xref ref-type="bibr" rid="B52">Thivet et al., 2021</xref>).</p>
<p>Generally, dust suppression techniques in the mechanized coal excavation mainly include spraying (<xref ref-type="bibr" rid="B40">Nie et al., 2017a</xref>; <xref ref-type="bibr" rid="B67">Yu et al., 2018</xref>; <xref ref-type="bibr" rid="B56">Wang et al., 2019</xref>), ventilation (<xref ref-type="bibr" rid="B54">Tora&#xf1;o et al., 2011</xref>; <xref ref-type="bibr" rid="B58">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B3">Cai et al., 2019</xref>), coal-seam water injection (<xref ref-type="bibr" rid="B8">Cheng et al., 2012</xref>; <xref ref-type="bibr" rid="B55">Wang et al., 2016</xref>; <xref ref-type="bibr" rid="B18">Guanhua et al., 2019</xref>), and chemical methods for dust suppression (<xref ref-type="bibr" rid="B44">Qin et al., 2017</xref>; <xref ref-type="bibr" rid="B57">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B63">Xu et al., 2018</xref>) and using an air curtain for dust isolation (<xref ref-type="bibr" rid="B41">Nie et al., 2017b</xref>; <xref ref-type="bibr" rid="B16">Geng et al., 2019</xref>; <xref ref-type="bibr" rid="B60">Xiao et al., 2019</xref>). Currently, ventilation dust suppression techniques are the most widely applied method in mines. In particular, the dry ventilation technique for dust suppression has superior characteristics such as good economic parameters, high efficiency, and a high degree of automation (<xref ref-type="bibr" rid="B32">Li et al., 2017</xref>). Zhang et al. explored the effects of downwind and upwind coal cutting on the dust pollution in a fully mechanized mining face using ANSYS-FLUENT software (<xref ref-type="bibr" rid="B70">Zhang et al., 2020</xref>). Moreover, Jiang et al. designed an experimental model roadway according to the motion equation of gas&#x2013;solid two-phase flow to study the distribution of coal dust during mining. Liao et al. adopted a CFD-DPM method to study the dust distribution around the driver (<xref ref-type="bibr" rid="B20">Hu et al., 2019</xref>). Hu et al. performed a similar investigation under various velocities (<xref ref-type="bibr" rid="B21">Hu et al., 2020</xref>). Wang et al. adopted the Euler-e-Euler model to establish air-solid flow systems in the mine roadway and analyzed the dust flow and dust distribution along the transverse and axial directions (<xref ref-type="bibr" rid="B59">Wang et al., 2015</xref>). Geng et al. performed CFD simulations to investigate the dust evolution in the coal roadway under an auxiliary ventilation system (<xref ref-type="bibr" rid="B15">Geng et al., 2020</xref>). These studies are from the perspective of ventilation or drivers, and the position of dust production is the whole face. The particle size of the coal dust has also been studied in detail. In this regard, Cai et al. qualitatively analyzed the size range of dust particles in the fully mechanized mining face (<xref ref-type="bibr" rid="B4">Cai et al., 2018</xref>). Zhang et al. performed CFD simulations and qualitatively analyzed the size range of dust particles and spatial distribution in different areas of the roadway (<xref ref-type="bibr" rid="B71">Zhang L. et al., 2021</xref>). Yu et al. used the CFD-DEM airflow&#x2013;dust coupled simulation approach and showed that the movement of the dust particles with a diameter range of 2.5&#x2013;20&#xa0;&#x3bc;m is dominated by the drag force (<xref ref-type="bibr" rid="B68">Yu et al., 2017</xref>). The performed literature survey indicates that the distribution of different particle sizes in the whole roadway has not been reported yet.</p>
<p>Aiming at reducing the threat of pneumoconiosis in coal miners, many investigations have been carried out to reduce dust emission. In this regard, different schemes such as different velocities, optimal airflow rate, and ventilation system have been proposed. Ijaz et al. gathered health data of workers in five different mines of Pakistan and found that the mine with the lowest ventilation volumetric flow rate has the highest dust concentration (<xref ref-type="bibr" rid="B24">Ijaz et al., 2020</xref>). Moreover, Gong et al. combined the fluid mechanics, finite element method, and underground measurement and established the double-objective BP prediction model to calculate the dust concentration in mines (<xref ref-type="bibr" rid="B17">Gong et al., 2019</xref>). Hua et al. used the CFD method and studied the effect of the position of the suction channel and the exhaust air rate on the dust diffusion and obtained the optimal dust control parameters (<xref ref-type="bibr" rid="B23">Hua et al., 2020</xref>). Guo and Song et al. combined the numerical simulation and field measurement to determine the optimal dust-exhausting airflow in the fully mechanized working face (<xref ref-type="bibr" rid="B19">Guo et al., 2020</xref>; <xref ref-type="bibr" rid="B47">Song S. et al., 2021</xref>). Furthermore, Yin et al. performed CFD simulations to analyze the influence of the distance between the forced air opening and the cutting face (<xref ref-type="bibr" rid="B65">Yin et al., 2020</xref>). Reviewing the literature indicates that most investigations in this area have been focused on dust generation, transport, distribution, and controlling the dust by using different ventilation methods, calculating the optimal airflow rate, and utilizing ventilation systems.</p>
<p>In the present study, DPM software and CFD software are adopted to investigate the characteristics of the dust dispersion and flow fields in coal mine roadways. The main objective of this article was to improve the dust removal efficiency of conventional dry dust collectors in the coal mine roadway. Then, the influence of different dust-producing positions on the dust removal efficiency is analyzed. Moreover, the dust reduction performance under different conditions is compared, and the optimal layout of the air duct is obtained. This article is expected to provide a theoretical guideline to design the field tunneling of the tunnel working </p>
</sec>
<sec id="s2">
<title>Mathematical and Physical Models</title>
<sec id="s2-1">
<title>Mathematical Model of Airflow and Dust Flow</title>
<p>Generally, the Reynolds number in the fully mechanized working face exceeds 1&#xd7;10<sup>6</sup>, so the airflow is a turbulent flow (<xref ref-type="bibr" rid="B68">Yu et al., 2017</xref>; <xref ref-type="bibr" rid="B23">Hua et al., 2020</xref>; <xref ref-type="bibr" rid="B71">Zhang L. et al., 2021</xref>). Considering the complicated geometry of the working environment, the k&#x2013;&#x3b5; model is the most widely turbulent model to reflect the characteristics of airflow in coal mines.</p>
<p>The continuous phase control equations that describe the airflow in the fully mechanized excavation face can be expressed in the following form:</p>
<p>The continuity equation (<xref ref-type="bibr" rid="B72">Zhang et al., 2018</xref>; <xref ref-type="bibr" rid="B10">Du et al., 2020</xref>):<disp-formula id="e1">
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<mml:mi>&#x3c1;</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mo>&#x2202;</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mo>&#x2202;</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The energy dissipation rate equation of the kinetic energy of turbulent fluctuation (also known as &#x3b5;-equation):<disp-formula id="e4">
<mml:math id="m5">
<mml:mrow>
<mml:mfrac>
<mml:mo>&#x2202;</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mo>&#x2202;</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mo>&#x2202;</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mfrac>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>k</mml:mi>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b5;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mi>k</mml:mi>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf2">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>j</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <italic>u</italic> is the velocity component along <italic>i</italic> direction, <inline-formula id="inf3">
<mml:math id="m7">
<mml:mi>&#x3c1;</mml:mi>
</mml:math>
</inline-formula> is the air density, kg m<sup>&#x2212;3</sup>, <inline-formula id="inf4">
<mml:math id="m8">
<mml:mi>k</mml:mi>
</mml:math>
</inline-formula> is the turbulent kinetic energy, m<sup>2</sup>&#xb7;s<sup>&#x2212;2</sup>, <inline-formula id="inf5">
<mml:math id="m9">
<mml:mi>&#x3b5;</mml:mi>
</mml:math>
</inline-formula> is the dissipation velocity of the turbulent kinetic energy, m<sup>2</sup>&#xb7;s<sup>&#x2212;3</sup>, <inline-formula id="inf6">
<mml:math id="m10">
<mml:mi>&#x3bc;</mml:mi>
</mml:math>
</inline-formula> is the viscosity coefficient of the laminar flow, Pa s, <inline-formula id="inf7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes the viscosity coefficient of the turbulent flow, Pa s, and <inline-formula id="inf8">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> refers to the turbulent kinetic energy generated because of the average velocity gradient, kg&#xb7;(s<sup>&#x2212;3</sup>&#xa0;m<sup>&#x2212;1</sup>); moreover, <inline-formula id="inf9">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the Prandtl number of the kinetic energy, and <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the Prandtl number of the energy dissipation rate. These parameters are usually set to <inline-formula id="inf11">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf12">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.2</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>. <inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf14">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>&#x3bc;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are constants, which are usually set to 1.44, 1.92, and 0.09, respectively; <inline-formula id="inf15">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf16">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>&#x3b5;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the defined turbulent kinetic energies (<xref ref-type="bibr" rid="B46">Sasmito et al., 2013</xref>; <xref ref-type="bibr" rid="B22">Hua et al., 2018</xref>).</p>
<p>In the present study, the discrete phase model/DPM in the Lagrangian coordinate system was used for the diffusion motion of coal dust particles. The interaction and influence between continuous phase airflow and discrete phase coal dust were considered. According to the equilibrium of forces on the coal dust particles, the governing equation of dust particles in the Lagrangian coordinate system can be expressed as follows:<disp-formula id="e5">
<mml:math id="m21">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>18</mml:mn>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mi>Re</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>24</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where <inline-formula id="inf17">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents other volumetric forces such as gravity, N, <inline-formula id="inf18">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is the drag force per unit mass of dust, N, <inline-formula id="inf19">
<mml:math id="m25">
<mml:mi>u</mml:mi>
</mml:math>
</inline-formula> is the fluid phase velocity, m s<sup>&#x2212;1</sup>, <inline-formula id="inf20">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the particle velocity, m s<sup>&#x2212;1</sup>, <inline-formula id="inf21">
<mml:math id="m27">
<mml:mi>&#x3c1;</mml:mi>
</mml:math>
</inline-formula> is the density of the fluid, kg m<sup>&#x2212;3</sup>, <inline-formula id="inf22">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the density of the particle, kg m<sup>&#x2212;3</sup>, <inline-formula id="inf23">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the particle diameter, m, and <inline-formula id="inf24">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the drag coefficient.</p>
<p>The relative Reynolds number Re can be expressed as follows:<disp-formula id="e7">
<mml:math id="m31">
<mml:mrow>
<mml:mi>Re</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Moreover, the drag coefficient C<sub>D</sub> follows the following expression:<disp-formula id="e8">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>Re</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>Re</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <inline-formula id="inf25">
<mml:math id="m33">
<mml:mi>&#x3bc;</mml:mi>
</mml:math>
</inline-formula> is the dynamic viscosity of the fluid, m<sup>2</sup>&#xb7;s<sup>&#x2212;1</sup>. Moreover, a<sub>1</sub>, a<sub>2</sub>, and a<sub>3</sub> are constants for spherical particles that depend on the Reynolds number (<xref ref-type="bibr" rid="B34">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="B66">Yin et al., 2019</xref>).</p>
</sec>
<sec id="s2-2">
<title>Physical Model and Boundary Conditions</title>
<p>According to the conditions of the fully mechanized coal roadway tunneling face in the Shoushan Coal Mine, a 3D full-scale physical model was developed. <xref ref-type="fig" rid="F1">Figure 1</xref> shows the location of the Shoushan mine. In order to analyze the effect of the duct position on the dust reduction, different physical models were set up. The models consist of a tunnel, a fully mechanized heading machine, a pressing-air duct, and a dedusting-air duct. <xref ref-type="fig" rid="F2">Figure 2</xref> presents the configuration of the model. The tunnel size is 60&#xa0;m &#xd7; 3.5&#xa0;m &#xd7; 3.2&#xa0;m. The simplified fully mechanized heading machine has a total length of 10&#xa0;m and mainly consists of the machine body and the cutting header. The machine body is a cuboid with a size of 8&#xa0;m &#xd7; 2.6&#xa0;m &#xd7; 2.2&#xa0;m, while the cutting header is a 4-m-long cylinder with a diameter of 0.8&#xa0;m. The diameters of the pressing-air duct and the dedusting-air duct are 0.8 and 0.6&#xa0;m, respectively. The ducts are 0.2&#xa0;m away from the nearest tunnel walls, and their central axes are 2.7&#xa0;m above the ground. The distance between the air outlet of the pressing-air duct and the heading face is 15&#xa0;m. The air duct inlet is the velocity inlet boundary, the wind speed is 21.6&#xa0;m/s, the outlet is the outflow boundary, the hydraulic diameter is 0.8&#xa0;m, the turbulence intensity is 5%, and the outlet of the air duct is the interior boundary. The inlet of the dust duct is the fan boundary, the outlet of the dust duct and the end of the roadway away from the working face are the outflow boundary, and the other boundaries are walls. The dust generation time is set to 100&#xa0;s, which has been maintained in the whole process of numerical simulation, and the given ventilation conditions are maintained. <xref ref-type="table" rid="T1">Table 1</xref> lists the parameters of the second model. In the present study, transient and RNG k&#x2013;&#x3b5; solver with the PISO algorithm is used to solve the governing equations of the continuous phase in the flow field. The boundary conditions are summarized in <xref ref-type="table" rid="T2">Table 2</xref>. It is worth noting that these boundary conditions are obtained from the field measurement of the Shoushan Coal Mine.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Geographical location of the Shoushan mine.</p>
</caption>
<graphic xlink:href="feart-10-855438-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Physical model of Shoushan: <bold>(A)</bold> Composition of physical model; <bold>(B)</bold> Position of the line 1&#x223C;3 (y &#x003D; 1.6 m).</p>
</caption>
<graphic xlink:href="feart-10-855438-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Physical model parameters of the working face in the Shoushan Coal Mine.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Name</th>
<th align="center">Parameter</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Roadway shape description</td>
<td align="center">Trapezium tunnel</td>
</tr>
<tr>
<td align="left">Length, width, and height of the tunnel</td>
<td align="center">60&#xa0;m &#xd7; 5.8&#xa0;m &#xd7; 4.1&#xa0;m (left) and 3.6&#xa0;m (right)</td>
</tr>
<tr>
<td align="left">Length, width, and height of the roadheader</td>
<td align="center">10&#xa0;m &#xd7; 2.5&#xa0;m &#xd7; 3&#xa0;m</td>
</tr>
<tr>
<td align="left">Distance between the pressing air outlet and working face</td>
<td align="center">25&#xa0;m</td>
</tr>
<tr>
<td align="left">Distance between the dedusting air outlet and working face</td>
<td align="center">2/3/4/5/6&#xa0;m</td>
</tr>
<tr>
<td align="left">Height from the central axis of the pressing-air duct from the ground</td>
<td align="center">3.6&#xa0;m</td>
</tr>
<tr>
<td align="left">Height from the central axis of the dedusting-air duct from the ground</td>
<td align="center">4.1&#xa0;m</td>
</tr>
<tr>
<td align="left">Pressing-air duct diameter</td>
<td align="center">1.2&#xa0;m</td>
</tr>
<tr>
<td align="left">Dedusting-air duct diameter</td>
<td align="center">0.8&#xa0;m</td>
</tr>
<tr>
<td align="left">Distance between the central axis of the dedusting-air duct and the tunnel wall</td>
<td align="center">5/2.565&#xa0;m</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Information on boundary conditions in numerical simulation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Name</th>
<th align="center">Type</th>
<th align="center">Parameter setting</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">General</td>
<td align="left">Solver</td>
<td align="left">Pressure-based</td>
</tr>
<tr>
<td align="left">Time</td>
<td align="left">Transient</td>
</tr>
<tr>
<td rowspan="2" align="left">Viscous model</td>
<td align="left">K&#x2013;epsilon</td>
<td align="left">RNG k&#x2013;&#x3b5;</td>
</tr>
<tr>
<td align="left">Near-wall treatment</td>
<td align="left">Standard wall function</td>
</tr>
<tr>
<td rowspan="2" align="left">Air</td>
<td align="left">Density/kg/m</td>
<td align="left">1.2</td>
</tr>
<tr>
<td align="left">Viscosity/m<sup>2</sup>/s</td>
<td align="left">1.79e-05</td>
</tr>
<tr>
<td rowspan="3" align="left">Velocity inlet</td>
<td align="left">Velocity inlet/kg/s</td>
<td align="left">14</td>
</tr>
<tr>
<td align="left">Turbulent intensity</td>
<td align="left">5%</td>
</tr>
<tr>
<td align="left">Hydraulic diameter/m</td>
<td align="left">0.8</td>
</tr>
<tr>
<td align="left">Tunnel and equipment</td>
<td align="left">Wall</td>
<td align="left">No slip</td>
</tr>
<tr>
<td align="left">Solution methods</td>
<td align="left">Scheme</td>
<td align="left">SIMPLE</td>
</tr>
<tr>
<td rowspan="6" align="left">Dust particle</td>
<td align="left">Diameter distribution</td>
<td align="left">Rosin-Rammler</td>
</tr>
<tr>
<td align="left">Material</td>
<td align="left">Coal-lv</td>
</tr>
<tr>
<td align="left">Total flow rate/kg/s</td>
<td align="left">0.002</td>
</tr>
<tr>
<td align="left">Min. diameter/m</td>
<td align="left">8e-07</td>
</tr>
<tr>
<td align="left">Max. diameter/m</td>
<td align="left">2.69e-05</td>
</tr>
<tr>
<td align="left">Mean diameter/m</td>
<td align="left">4e-06</td>
</tr>
<tr>
<td rowspan="2" align="left">Calculation</td>
<td align="left">Time step size</td>
<td align="left">0.01</td>
</tr>
<tr>
<td align="left">Max iterations/time step</td>
<td align="left">20</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3">
<title>Investigating the Influence of the Different Cutting Positions on the Dust Transport and Diffusion</title>
<p>To explore the results of the different cutting positions, the working face was divided into three parts, as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. According to the aforementioned boundary conditions and dust source parameters, ANSYS FLUENT software was used to simulate airflow, dust diffusion, and distribution of the dust particle size.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Different positions of dust production at the tunneling head.</p>
</caption>
<graphic xlink:href="feart-10-855438-g003.tif"/>
</fig>
<sec id="s3-1">
<title>Airflow Migration in the Fully Mechanized Face</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the velocity vector diagram of the airflow. It is observed that the high-velocity airflow mainly appears at the pressing-air outlet and the dedusting-air inlet. There are three obvious zones in the airflow field at the heading face, namely the jet zone, reflux zone, and vortex zone. Moreover, the vortex zone and reflux zone appear before and after the roadheader. Since the pressing-air duct is near the upper part of the roadway, the air velocity in the upper part of the roadway is large, and the wind speed in the lower part is small. High-velocity airflow was jetted from the pressing-air outlet. Affected by the &#x201c;wall attachment effect,&#x201d; it sticks to the roadway wall, thereby continuously reducing the speed. Due to the limited space of the tunneling head and the entrainment effect of the jet, the jet continuously entrains the surrounding air forward. Finally, the jet impacts the head-on end face, and airflow appears opposite to the jet direction. This flow is called backflow. The comparison of the velocity vector diagram of horizontal sections at different heights indicates that the farther away from the pressing-air duct, the smaller the jet velocity, resulting in a smaller vortex area and reflux area, which is not conducive to particle transmission.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Numerical simulation of airflow migration.</p>
</caption>
<graphic xlink:href="feart-10-855438-g004.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>Migration and Distribution of Coal Dust in the Fully Mechanized Face After Dry Dedusting</title>
<p>The numerical simulation was performed to analyze the particle size of the coal dust in the working face. <xref ref-type="fig" rid="F5">Figure 5</xref> shows the dust migration from 0 to 100&#xa0;s. <xref ref-type="fig" rid="F6">Figures 6</xref>&#x2013;<xref ref-type="fig" rid="F8">8</xref> present the dust diffusion with a dust concentration nephogram in the different parts of the working face after dry dedusting. The dust concentration changes of red, yellow, and blue balls in <xref ref-type="fig" rid="F5">Figure 5</xref> correspond to the dust concentration changes of three straight lines Lines 1&#x2013;3 at the roadway y &#x3d; 1.6&#xa0;m in <xref ref-type="fig" rid="F2">Figure 2</xref>, and x &#x3d; 0 is located at the entrance of the roadway in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Variation of dust concentration along the process: <bold>(A)</bold> Working face part 1; <bold>(B)</bold> Working face part 2; <bold>(C)</bold> Working face part 3.</p>
</caption>
<graphic xlink:href="feart-10-855438-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Dust diffusion of the working face: <bold>(A)</bold> Working face part 1; <bold>(B)</bold> Working face part 2; <bold>(C)</bold> Working face part 3.</p>
</caption>
<graphic xlink:href="feart-10-855438-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Different particle size rates: <bold>(A)</bold> Working face part 1; <bold>(B)</bold> Working face part 2; <bold>(C)</bold> Working face part 3.</p>
</caption>
<graphic xlink:href="feart-10-855438-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Physical model for different dedusting-air duct positions.</p>
</caption>
<graphic xlink:href="feart-10-855438-g008.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> indicates that at the first 50&#xa0;s of the process, the dust diffuses gradually from the working face along the roadway, and the dust concentration decreases gradually as the distance increases. At t &#x3d; 50&#xa0;s, the dust completely diffuses to the whole roadway, and in the period 20&#x2013;30&#xa0;s, the dust concentration reaches the maximum, and then the dust concentration decreases. It is found that the dust concentration near the dedusting-air duct is always higher than the other two parts, that is, the red sphere is higher than the yellow and blue sphere. This may be attributed to the formation of the jet area at the outlet of the pressing-air duct, which blows the dust to the other side of the roadway. The dust concentrates at the inlet of the dedusting-air duct and discharges outward through the dedusting-air duct.</p>
<p>The analysis of the dust concentration variation diagram of three dust-producing surfaces indicates that the dust concentration of the working face part 1 is significantly lower than that of the other two working faces, and the maximum dust concentration is about 100&#xa0;mg/m&#xb3;. This is because the working face part 1 is close to the roadway floor so that the generated dust settles down quickly under the action of gravity. However, the highest dust concentration occurs at the working face part 3, where the maximum dust concentration reaches 280&#xa0;mg/m&#xb3;, while the maximum dust concentration of working face part 2 is 220&#xa0;mg/m&#xb3;. Moreover, it is found that variations of dust produced at different cutting parts are the same. However, since the working face part 3 is at the same height as the dedusting-air duct inlet, the dust will eventually converge on the dedusting-air duct so that the highest dust concentration appears in working face part 3.</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6</xref> shows the dust concentration contours at y &#x3d; 0.6, 1.6, and 2.7&#xa0;m under different working conditions. It is observed that after dry dedusting, the concentration and distribution of the produced dust at different cutting positions are greatly different. However, the highest and lowest dust concentrations occur at the working face parts 3 and 1, respectively. <xref ref-type="fig" rid="F6">Figure 6A</xref> indicates that the highest dust concentration occurs at the working face with y &#x3d; 0.6&#xa0;m. This is because the working face part 1 is near the floor, where the dust settles down and accumulates because of gravity. <xref ref-type="fig" rid="F6">Figure 6B</xref> shows that the dust accumulates on the opposite side of the pressing-air duct at y &#x3d; 0.6 and 1.6&#xa0;m. That is because a large amount of dust discharges from the dedusting-air duct. <xref ref-type="fig" rid="F6">Figure 6C</xref> reveals that the dust concentration is much higher on the x-z plane with y &#x3d; 2.7&#xa0;m. This is because the working face part 3 is close to the roof and has the largest contact with the airflow; the high concentration of dust diffuses to the middle part of the roadway.</p>
</sec>
<sec id="s3-3">
<title>Investigating the Particle Size Distribution of the Coal Dust on the Fully Mechanized Face</title>
<p>In the present study, 2,000, 10,000, and 100,000 particles are considered in the simulation to achieve results independent of the number of particles. <xref ref-type="fig" rid="F7">Figure 7</xref> presents the obtained results. It is observed that the proportions of different particle sizes in all cases are almost the same. By adding the proportions of the first two particle size ranges, the dust particles with a diameter range of 0&#x2013;14&#xa0;&#x3bc;m account for about 60%. Therefore, it is necessary to control this range of particles to control the total dust. Moreover, it is found that the dust particles smaller than 10&#xa0;&#x3bc;m account for 33% at the working face part 1 and part 2, but the share decreases slightly at face part 3. Compared with face part 1 and part 2, dust particles larger than 21&#xa0;&#x3bc;m increase at face part 3. This is mainly because the working face part 3 is the main dust-producing surface, thereby increasing the dust concentration of all sizes, and the working face part 3 is the highest from the bottom. The larger the particle size, the higher the particle inertia. Accordingly, the floating time in the tunnel is much longer than that at parts 1 and 2. It is concluded that large particles are of significant importance to reduce the dust pollution in coal mines.</p>
</sec>
</sec>
<sec id="s4">
<title>The Influence of the Dedusting-Air Duct Layout on the Working Face Dust Diffusion After Dry Dedusting</title>
<p>In order to find the appropriate position of dedusting-air duct for effective dust control, numerical simulation was carried out.</p>
<sec id="s4-1">
<title>The Influence of the Position of the Dedusting-Air Duct on the Dust Diffusion of the Working Face</title>
<p>In this section, it is necessary to ensure that the distance between the dedusting-air duct and the tunneling head is consistent. To perform a contrastive analysis, the case with no roadheader is simulated. <xref ref-type="fig" rid="F8">Figure 8</xref> indicates that three working conditions are simulated. In the first case, dedusting-air duct is located in the middle of the roadway, while in the second and third cases, dedusting-air duct is located on the opposite side of the pressing-air duct without and with a roadheader, respectively.</p>
<p>
<xref ref-type="fig" rid="F9">Figure 9A</xref> reveals that when the dedusting-air duct is located in the middle of the roadway, the dust area is large, and the dust in the roadway takes a V-shaped distribution. Moreover, it is found that the dust-polluted area on the right side of the roadway is smaller than that on the left side. This arrangement cannot provide adequate fresh air to flow through all areas of the roadway. Accordingly, dust cannot be absorbed well, resulting in high dust pollution in the roadway. In this case, only the dust at the inlet of the dedusting-air duct is inhaled. The dust is pushed into the left side of the roadway by the fresh air, resulting in a large dust-polluted area on the left side. Furthermore, the range of high-concentration dust at the height of 3&#xa0;m is slightly less than that at the height of 1.6&#xa0;m. This phenomenon may be attributed to the position of the dedusting-air duct.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Dust diffusion for different dedusting-air duct positions: <bold>(A)</bold> in the middle of the roadway; <bold>(B)</bold> on the opposite side of the pressing-air duct; <bold>(C)</bold> on the opposite side of the pressing-air duct with roadheader.</p>
</caption>
<graphic xlink:href="feart-10-855438-g009.tif"/>
</fig>
<p>The comparison of <xref ref-type="fig" rid="F9">Figure 9A</xref> with (b) reveals that there is not a V-shaped distribution. Instead, there is a low concentration on the left and a high concentration on the right. Moreover, it is found that the dust concentration and dust amount in the roadway in <xref ref-type="fig" rid="F9">Figure 9B</xref> are significantly lower than those in <xref ref-type="fig" rid="F9">Figure 9A</xref>, demonstrating that when the dedusting-air duct is arranged on the opposite side of the pressing-air duct, the dust removal effect is higher than that of the case dedusting-air duct in the middle of the roadway.</p>
<p>
<xref ref-type="fig" rid="F9">Figure 9C</xref> indicates that under the influence of the roadheader, a high-concentration dust area forms near the wall, and a &#x41f;-shaped distribution appears. The dust distribution in the roadway can be mainly divided into three areas. The highest concentration occurs in the &#x41f;-shaped distribution, where the dust concentration can reach 100&#xa0;mg/m<sup>3</sup>. Under the action of eddy current in this area, a small amount of dust diffuses to the outside of the roadheader, thereby forming a medium concentration area. Most of the dust in this area is concentrated on the side of the dedusting-air duct and cut off at the rear end of the air inlet duct outlet. Meanwhile, the dust concentration at the rear end of the air inlet and outlet of the air duct decreases rapidly, thereby forming a mild concentration area.</p>
</sec>
<sec id="s4-2">
<title>The Influence of the Distance From the Dedusting-Air Duct to the Tunneling Head on the Working Face Dust Diffusion</title>
<p>In this section, the influence of the distance between the dedusting-air duct and the tunneling head on the working face dust diffusion is analyzed. <xref ref-type="fig" rid="F10">Figures 10</xref>&#x2013;<xref ref-type="fig" rid="F13">13</xref> present the dust distribution in the roadway when the dedusting-air duct is 2, 3, 4, 5, and 6&#xa0;m away from the tunneling head, respectively. It should be indicated that two planes with intercept heights of 1.6 and 3.0&#xa0;m were taken in each working condition.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Dust diffusion at planes of y &#x3d; 1.6 and 3.0&#xa0;m for different dedusting-air duct distances (no roadheader).</p>
</caption>
<graphic xlink:href="feart-10-855438-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Dust diffusion for different dedusting-air duct distances (no road header): <bold>(A)</bold> 2.0&#xa0;m; <bold>(B)</bold> 3.0&#xa0;m; <bold>(C)</bold> 4.0&#xa0;m; <bold>(D)</bold> 5.0&#xa0;m; <bold>(E)</bold> 6.0&#xa0;m.</p>
</caption>
<graphic xlink:href="feart-10-855438-g011.tif"/>
</fig>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Dust diffusion at planes of y &#x3d; 1.6 and 3.0&#xa0;m for different dedusting-air duct distances (roadheader).</p>
</caption>
<graphic xlink:href="feart-10-855438-g012.tif"/>
</fig>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Dust diffusion for different dedusting-air duct distances (roadheader): <bold>(A)</bold> 2.0&#xa0;m; <bold>(B)</bold> 3.0&#xa0;m; <bold>(C)</bold> 4.0&#xa0;m; <bold>(D)</bold> 5.0&#xa0;m; <bold>(E)</bold> 6.0&#xa0;m.</p>
</caption>
<graphic xlink:href="feart-10-855438-g013.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>, it is observed that when the inlet of the dedusting-air duct is 6&#xa0;m away from the tunneling head, the dust removal efficiency is much less than that when the distance is 2&#x2013;5&#xa0;m. This may be attributed to insufficient air suction into the dedusting-air duct. When the air inlet of the dedusting-air duct is 2&#x2013;5&#xa0;m away from the tunneling head, a similar dust distribution appears in the roadway, and the dust mainly concentrates near the tunneling head, while the dust distribution in the roadway is low. It is inferred that most of the dust can be inhaled into the dust removal fan. However, when the air inlet of the dedusting-air duct is 2 or 5&#xa0;m away from the tunneling head, the area with a high concentration of dust is greater than 3 or 4&#xa0;m, respectively. Meanwhile, when the distance is set to 4&#xa0;m, the area with a high concentration of dust is near the wall, while the middle concentration of dust is evenly distributed within two times the width of the excavation head. However, when the distance is 3 m, the lowest overall dust concentration occurs within two times the width of the excavation head. It is concluded that when there is no roadheader in the roadway, the optimum distance from the air inlet of the dedusting-air duct to the excavation head is 3&#xa0;m.</p>
<p>When there is a roadheader in the roadway, the dust distribution is affected by the roadheader. In this regard, <xref ref-type="fig" rid="F12">Figures 12</xref>, <xref ref-type="fig" rid="F13">13</xref> show the dust distribution in the roadway at 2, 3, 4, 5, and 6&#xa0;m. It is observed that most of the dust concentrates in the range of the roadheader. Meanwhile, an area of high concentration dust appears on the right side of the roadway. When the dedusting-air duct is 2&#xa0;m away from the tunneling head, a large amount of dust cannot be sucked into the dedusting-air duct, thereby concentrating near the tunneling head and resulting in the formation of an ultrahigh dust concentration area. When the dedusting-air duct is 6&#xa0;m away from the tunneling head, the dust concentration is higher, and the influence range is wide. Since the dust concentration on the left side of the roadheader at 3&#xa0;m is higher than that at 4 and 5&#xa0;m, it cannot be considered the optimal distance. When the dedusting-air duct is 4&#xa0;m away from the excavation head, the area with a high concentration of dust in the whole roadway and the diffusion range are minimized. Meanwhile, when the dedusting-air duct is 5&#xa0;m away from the excavation head, a small low concentration area appears near the air inlet, which is just above the driver. Based on the performed analyses, it is inferred that the highest dust removal efficiency can be obtained when the distance between the dedusting-air duct and the excavation head is set to 4&#x2013;5&#xa0;m.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>In the present study, the influence of different cutting parts, the position of the dedusting-air duct, and the distance between the dedusting-air duct and the excavation head was investigated on the distribution and diffusion of the dust at the working face. Based on the obtained results, the main conclusions and achievements can be summarized as follows:<list list-type="simple">
<list-item>
<p>1) The highest concentration of cutting dust occurs near the roof. Due to the long contact time, the diffusion of high concentration dust to other parts of the roadway is significant.</p>
</list-item>
<list-item>
<p>2) Compared with an air duct in the middle of the roadway, the dedusting-air duct on the opposite side of the air duct has high dry dust removal efficiency.</p>
</list-item>
<list-item>
<p>3) When there is no roadheader in the roadway, the best dust removal efficiency can be achieved from the air inlet of the dedusting-air duct 3&#xa0;m away from the excavation head. However, when a roadheader is arranged in the roadway, the highest dust removal efficiency occurs at a distance of 4&#x2013;5&#xa0;m.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>HZ: Methodology; Investigation; Software; Writing-original draft. RL: Methodology; Investigation; Software; Editing the draft. JC: Writing-review; Editing; Supervision. QX: Writing-review; Editing; Supervision. JF: Writing-review; Editing; Supervision; Funding acquisition.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study was supported by the Fundamental Research Funds for the National Natural Foundation of China (NSFC, grant numbers 51834003, 51904039, 51774057 and 52074048), Chongqing Postdoctoral Science Foundation (cstc2019jcyjbshX0084) and the Special Key Project of Chongqing Technology Innovation and Application Development (cstc2019jscx-tjsbX0015).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>Author JC is employed by Guizhou Transportation Planning Survey &#x26; Design Academe Co. LTD, and author QX is employed by Shanxi Construction Engineering Group Co. LTD.</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 sec-type="disclaimer" id="s10">
<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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