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    <article-meta>
      <title-group>
        <article-title>Modeling of Hopper-bottom Railcars Loaded with Corn Grits - Abstract</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Daniel Brabec</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Efstathios Kaloudis</string-name>
          <email>stathiskaloudis@aegean.gr</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Christos G. Athanassiou</string-name>
          <email>athanassiou@uth.gr</email>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>James Campbell</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Paraskevi Agrafioti</string-name>
          <email>agrafiot@uth.gr</email>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Deanna S. Scheff</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sotiris Bantas</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vasilis Sotiroudas</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Agrospecom</institution>
          ,
          <addr-line>N. Kountourioti 3, Thessaloniki, 54625</addr-line>
          ,
          <country country="GR">Greece</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Food Science and Nutrition, University of the Aegean</institution>
          ,
          <country country="GR">Greece</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Environment, University of Thessaly</institution>
          ,
          <addr-line>Phytokou str., 38446, Volos, Magnesia</addr-line>
          ,
          <country country="GR">Greece</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Laboratory of Entomology and Agricultural Zoology, Department of Agriculture</institution>
          ,
          <addr-line>Crop Production and Rural</addr-line>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Manhattan</institution>
          ,
          <addr-line>KS 66505</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>USDA, Agricultural Research Service, Center for Grain and Animal Health Research, 1515 College Avenue</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1923</year>
      </pub-date>
      <fpage>375</fpage>
      <lpage>376</lpage>
      <kwd-group>
        <kwd>1</kwd>
        <kwd>mathematical modeling</kwd>
      </kwd-group>
    </article-meta>
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    <sec id="sec-1">
      <title>Summary</title>
      <p>Bulk railcars are a common method of moving commodities in the United States. Allowances
are given for the practice of treating railcars with fumigates during transit because the routes
are limited access and not on public roads. Recent technology has become available for
monitoring phosphine gas (PH3) fumigation on railcars which log the phosphine concentration
and temperature of the test point in the railcars. Industrial cooperators allowed for the
monitoring of fumigations for two shipments of corn grit, which were being transported in
hopper bottom railcars. Several sensing units were used in each railcar and spaced across the
top layer. Data were collected during the eight-day trip from grain mill to processor. The
phosphine concentrations at the top varied with time with phosphine spiking over 1600 ppm
and gradually settling to over 300 ppm at the end of the eight days. Total gas dosage was
estimated as concentration*time (CT) over the eight days as 115,000 and 125,000 ppm*hr at
the top of each railcar. Because access to lower depths in the railcar were not available,
supplement experiments were performed with small columns of corn grits (2.5 m height x 0.55
m dia) to test for phosphine below the top surface. A higher and lower phosphine treatments
were applied to the columns. These tests found significant phosphine penetration into the bulk
at 2 m depth with ~380 ppm after two days and going down to ~260 ppm after eight days with
the high phosphine treatment. Bioassays of both phosphine susceptible and resistant, adult
Rhyzopertha dominica (F.), lesser grain borer, and Tribolium castaneum (Herbst), red flour
beetle, were included at both the surface (0 cm), 25 cm and 60 cm below the surface. All
insects, at all locations, were dead after eight days. The railcar and the fumigation treatments
were additionally modeled with a CFD simulation approach. The simulation models were
shown to provide estimates of the phosphine concentration and distribution which matched
well the observed data, validating the CFD approach as an efficient tool for future planning
and analysis of similar fumigations.</p>
    </sec>
    <sec id="sec-2">
      <title>Acknowledgements</title>
      <p>phosphine, lesser grain borer, red flour beetle, computational fluid dynamics, wireless sensors,
This research is part of the project «Management of entomological infestations in the stored
products by using innovative technologies» (Project code: ΚΜΡ6-0081034) that is co-funded</p>
      <p>2022 Copyright for this paper by its authors.
by Greece and European Union by the Action «Investment Plans of Innovation» in Central
Macedonia under the framework of the Operational Program «Central Macedonia 2014 2020».</p>
    </sec>
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