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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Mathematical Modeling of the Composition of the Combustion Products of the Heating Gas of a Coke Oven</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oleg U. Sidorov NTI (branch) UrFU</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nizhny Tagil o.iu.sidorov@urfu.ru</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Natalija A. Aristova NTI (branch) UrFU</institution>
          ,
          <addr-line>Nizhny Tagil</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>In this work, the task is to construct a mathematical model and calculate with its help concentration and temperature fields, as well as the velocity distribution of gas sweats movement during the combustion of the heating gas in the vertical of the coke oven Structures of TDCs. Is being studied the effect of the excess air factor and the nature of the gas dynamic in the heating section of the coke oven to the concentration of the combustion products. As a modeling area, two heating piers (vertical) were considered, located near the middle of the coke oven of the PVR system with a volume of 41.6 m3. We considered a three-dimensional problem with a partition of the modeling region along the x axis into 24 cells; along the y axis, by 13 cells; on the z axis, 24 cells. Vertical dimensions: along the axis x0.48 m; on the y axis, 0.40 m; on the z-axis - 7,2 m. Simultaneous solution of three-dimensional equations of motion, heat energy transfer, mass transfer and kinetic interactions of gas flow components is carried out. The methods of mathematical modeling are used to estimate the velocity fields, traces and temperatures in the heating section of the coke oven at an excess air factor in the range 1.2-1.6. The possibility of overheating of the upper part of the vertical due to the appearance of a turbulent vortex is shown. Extreme behavior of the nitrogen monoxide content is obtained depending on the excess air factor. It is shown that the presence of asymmetry of the boundary velocities at the inlet and outlet from the vertical leads to a decrease in the recirculation and an increase in the concentration of nitrogen monoxides in the flue gases.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>Optimization of coke oven operating modes is actual task. Simulation of the combustion process of gaseous
fuels will make it possible to trace the distribution of the temperature, concentration, velocity fields along the height
of the combustion zone and after it. This will allow us to analyze the effect of gas dynamics and combustion on the
heating of various zones Refractory masonry, the dependence of the composition of flue gases, especially such
harmful constituents such as formaldehyde and nitrogen oxides, on the nature of motion of gas flows. To solve this
type of problem it is necessary simultaneous consideration of gas-dynamic, concentration and thermal problems.</p>
    </sec>
    <sec id="sec-2">
      <title>Formulation of the problem</title>
      <p>The task is to construct a mathematical model and calculate with its help the concentration and temperature
fields, and also distribution of speeds of movement of gas sweats at combustion of a heating gas in a vertical of coke
oven of system PVR. The influence coefficient of excess air and the nature of gas dynamics in the heating space of
the coke oven on the concentration of combustion products.</p>
      <p>
        As the modeling area, two heating piers (vertical) were considered, located near the middle of the coke
furnaces of the PVR system with a volume of 41.6 m3. We considered a three-dimensional problem with
partitioning the modeling domain along the x-axis into 24 cells; on the y-axis - by 13 cells; on the z axis, 24 cells.
The vertical dimensions are chosen according to [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]; overall dimensions: along the x0.48 m axis; on the y axis,
0.40 m; on the z-axis - 7,2 m.
      </p>
    </sec>
    <sec id="sec-3">
      <title>Mathematical model</title>
      <sec id="sec-3-1">
        <title>Movement</title>
      </sec>
      <sec id="sec-3-2">
        <title>Here</title>
      </sec>
      <sec id="sec-3-3">
        <title>Non-discontinuities</title>
        <p>
          In solving the gasdynamic problem, the following equations were used [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]:
- are the velocity components;
        </p>
        <p>- is the density.</p>
        <p>
          Integration of equations (1) was carried out within the framework of the method of finite differences using
the "chess" grid [
          <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
          ]. The unknown pressure field was determined using the continuity equation (2) according to the
procedure described [
          <xref ref-type="bibr" rid="ref2 ref3">2,3</xref>
          ]. The boundary conditions of the first kind were used to specify the velocity of the gas at
the inlet and outlet from the vertical and the zero velocity values on the walls of the vertical.
        </p>
        <p>
          The equations for the transfer of the concentrations of the components of the gas mixture in the form [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]
(2)
(3)
(4)
Here the designation of components
- the source terms of the
, where
form
rate
        </p>
        <p>constant;
chemical reaction by
- concentration of component
in mole fractions;
the order of the
component</p>
        <p>
          the Schmidt number (it was chosen equal to 0.9 [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]).
        </p>
        <p>When integrating Eq. (3), boundary conditions of the first kind were applied at the entrance to the vertical
and on the laying of the vertical; At the exit from the vertical, we used boundary conditions of the third kind in the
form</p>
        <p>
          The heat energy transfer equation is chosen in the form [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ]
        </p>
      </sec>
      <sec id="sec-3-4">
        <title>Here turbulent dynamic viscosity, heat capacity, enthalpy, temperature, respectively; is the Prandtl number (it was chosen equal to 0.56 [1]); the total rate of heat release from the reactions occurring during combustion of the gas mixture (see [4]).</title>
        <p>When integrating equation (4), the boundary conditions were applied I-th kind on the basis of experimental
values of temperature measurements in the conditions of Coke-chemical production of JSC "NTMK". The
temperature of the gas flow at the entrance to the vertical is of the order of 1000 ° C, the temperature on the masonry
about 12500C.</p>
        <p>
          In modeling the combustion process, a coke oven gas was used as a fuel, the interaction of its
components with air was carried out using model constructions detailed in [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ].
        </p>
        <p>The results of the calculations in the vertical section (the middle along the y axis) heating partition with =
1, 2 are shown in Fig. 1 and 2. In this case, the same boundary conditions are set for the velocity at the input and
output from the vertical (1 m / s). There is a fairly intensive recirculation movement of gas flows. There is a
turbulent vortex in the upper right side of the vertical (Fig. 1 (a)). In the same place is the zone of elevated
temperature (Figure 1 (b)), which can affect negatively for the life of refractories of this part of the masonry.
Formation of nitrogen oxides and formaldehyde occurs throughout the vertical region (Figure 2 (a, b)).
(a)</p>
        <p>(b)
in the excess air factor. The content of nitrogen oxides passes through a maximum at about = 1.4 - 1.45. This
may be due to the onset with an increase in NO due to an increase in the N2 concentration in the input stream, and
then to a decrease in the formation of NO, due to a decrease in the temperature in the vertical due to a decrease in
the proportion of coke oven gas in the composition of the heating mixture.</p>
        <p>1. Methods of mathematical modeling have been used to estimate the velocity, concentration and temperature
fields in the coke furnace heating section with an excess air factor in the range 1.2-1.6.</p>
        <p>2. The possibility of overheating of the upper part of the vertical due to the appearance of a turbulent vortex is
shown.</p>
        <p>3. Extreme behavior of the content of nitrogen mono-oxides is obtained depending on the excess air factor.
4. It is shown that the presence of asymmetry of the boundary velocities at the inlet and outlet from the vertical
leads to a decrease in the recirculation and an increase in the concentration of nitrogen monoxides in the flue gases.</p>
        <p>The implementation of the model was carried out using the author's software package.</p>
        <p>Limit velocity at 1,29 m/s vertical output</p>
      </sec>
      <sec id="sec-3-5">
        <title>Limit velocity at 1,98 m/s vertical output Fig. 3. Velocity fields for different limit velocities in the vertical output</title>
      </sec>
    </sec>
  </body>
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