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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Computer  simulation  of  the  safety  of  radio  electronics  production in an emergency situation </article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Aleksandr Tumanov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vladimir Tumanov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aleksandr Titov</string-name>
          <email>titov_ab@spbstu.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleg Uzun</string-name>
          <email>uzun_ol@spbstu.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Peter the Great St.Petersburg Polytechnic University</institution>
          ,
          <addr-line>St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>St. Petersburg state University of aerospace instrumentation</institution>
          ,
          <addr-line>St. Petersburg</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>25</fpage>
      <lpage>30</lpage>
      <abstract>
        <p>   The article is devoted to computer modeling in the problems of ensuring the safety of production processes in the organization of radio-electronic and instrument-making industries under the influence of damaging factors of emergency situations. The organization of any production is associated with the establishment of a number of technological processes, both basic and related. Ensuring safety and sustainability are one of the important accompanying processes of radio-electronic and instrument-making industries. At present, these processes are coming to the fore, especially when it becomes relevant to establish production in the conditions of predicted emergencies. Manufactured products-radio-electronic devices must also meet the requirements of thermal, radiation and mechanical resistance. If you do not take into account the risk factors of failure of devices and electronic components, then even a small deviation of the environmental parameters from normal values will lead to a man-made accident. This is especially true for devices operating under conditions of ionizing radiation, large temperature differences, and mechanical influences.</p>
      </abstract>
      <kwd-group>
        <kwd>1    Computer modeling</kwd>
        <kwd>computational experiment</kwd>
        <kwd>safety</kwd>
        <kwd>production process</kwd>
        <kwd>organization of radio-electronic and instrument-making industries</kwd>
        <kwd>striking factors</kwd>
        <kwd>emergency situation</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction </title>
      <p>The organization of any production is associated with the establishment of a number of technological
processes, both basic and related. Ensuring safety and sustainability are one of the important
accompanying processes of radio-electronic and instrument-making industries (REI) at present, these
processes come to the fore, especially it becomes relevant when it is necessary to establish production
in the conditions of predicted emergencies. Manufactured products-radio-electronic devices must also
meet the requirements of thermal, radiation and mechanical resistance. If you do not take into account
the risk factors of failure of devices and electronic components, then even a small deviation of the
environmental parameters from normal values will lead to a man-made accident. This is especially true
for devices operating under conditions of ionizing radiation, large temperature differences, and
mechanical influences, such as the equipment of GLONAS satellites in Earth orbit. The radio-electronic
and instrument-making industries are tasked with bringing the uptime of GLONAS satellites to 15
years.</p>
      <p>Within the framework of the national security concept of the Russian Federation adopted in 2015,
there is a problem of developing a system of taking preventive measures to reduce the risk of
emergencies and fires on the basis of preventive measures. Federal Target Program "Risk Reduction
and Mitigation of the consequences of natural and man-made Emergencies in the Russian Federation
until 2015" in accordance with the Concept of Long-term Socio-economic Development of the Russian
Federation for the period up to 2020, approved by the decree of the Government of the Russian
Federation of November 17, 2008. N 1662-p, it is planned to maintain a high level of security of the
country, including the safety of the population and territories from natural and man-made emergencies.
Such an approach requires the implementation of a complex of interrelated transformations in terms of
resources, terms and stages. At the same time, there should be a change of priorities in protecting the
population and territories from dangers and threats of various kinds - instead of a culture of responding
to emergencies, a culture of prevention should be in the first place.</p>
      <p>The solution to this problem is impossible without describing and evaluating the isolated and
combined effects of damaging factors (DF) of sources of emergency situations (ES) in man-made
accidents (MA) at radiation, fire and explosive objects of REP. It is impossible to imagine such an
assessment of the effects of PF without the use of models and computer modeling.</p>
      <p>The aim of the work is to build a deterministic analytical model of the impact of DF on the protected
object and its computer implementation.</p>
      <p>Tasks that need to be completed to achieve this goal:
development of the initial model;
construction of the algorithm of the program operation;
development of the program interface;
writing code in C++;
conducting a computational experiment;
discussion of the results and conclusions.</p>
    </sec>
    <sec id="sec-2">
      <title>2.  Computer simulation   2.1.</title>
    </sec>
    <sec id="sec-3">
      <title>Building a mathematical model  </title>
      <p>With the advent of computers and computer programs that implement algorithms for obtaining,
processing, presenting and using information about objects, it became possible to repeatedly and
efficiently perform computational experiments, i.e., conduct computer modeling.</p>
      <p>
        The general structure of the application package consists of the parts described in detail [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]:
In the framework of computer modeling, when creating applications, the following requirements
were emphasized: scientific, adaptive, conscious learning, independence and activation of activity,
visualization and accessibility in the educational process. Currently, the applications are used in
practical classes with students in the direction of "Technosphere Security" and in the section of the
discipline of the Safety "Protection in emergency situations".
      </p>
      <p>It is known that substances and materials that can be dangerous from the point of view of fire danger
are used in the production of REI. These can be highly flammable liquids</p>
      <p>
        We will construct a deterministic analytical mathematical model of the combustion process of highly
flammable liquids (HFL) based on the calculation method presented in [
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ]. As an example, consider
the model "Calculation of thermal radiation from a strait fire". A number of works are known in which
the processes of ensuring security in emergency situations are modeled [
        <xref ref-type="bibr" rid="ref4 ref5 ref6 ref7 ref8 ref9">4-9</xref>
        ]. The authors conducted
research in this area to create mathematical models describing the impact of damaging factors on
protected objects. For more information about this, see [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13">10-13</xref>
        ].
      </p>
      <p>Let's take a closer look at modeling the thermal radiation of a strait fire.





</p>
      <p>  

, 
(1) </p>
      <sec id="sec-3-1">
        <title>The initial parameters of the model.</title>
      </sec>
      <sec id="sec-3-2">
        <title>Spilled HFL.</title>
      </sec>
      <sec id="sec-3-3">
        <title>The area of the strait (m2).</title>
      </sec>
      <sec id="sec-3-4">
        <title>Calculated parameters of the model.</title>
      </sec>
      <sec id="sec-3-5">
        <title>The length of the radius to the center of the spill (m).</title>
      </sec>
      <sec id="sec-3-6">
        <title>The effective diameter of the strait is d, m (see formula 1).</title>
      </sec>
      <sec id="sec-3-7">
        <title>Flame height (see formula 2).</title>
      </sec>
      <sec id="sec-3-8">
        <title>We calculate the effective diameter of the strait d, m, using the formula where S is the area of the strait, m2.</title>
      </sec>
      <sec id="sec-3-9">
        <title>Calculate the height of the flame H, m, according to the formula</title>
        <p>where mc is the specific mass rate of fuel burn - up, kg/(m ∙ s);
ρW is the ambient air density, kg / m3;
g is the acceleration of gravity, equal to</p>
        <p>We determine the angular irradiance coefficient Fq by the formula
where,</p>
        <p>irradiated object)
∙ 
√
∙ 

,
,
 
,  
√
∙ 
∙ 
(4) 
(5) 
(6) 
where, А = (h2 + S1 + 1) / 2S1, Sl = 2r/d (r is the distance from the geometric center of the strait to the
where Еf - medium-largest thermal radiation density of flames, kWh∙m-2;

∙ 
∙ t </p>
      </sec>
      <sec id="sec-3-10">
        <title>Fq - angular irradiation coefficient;</title>
        <p>t - the bandwidth factor.</p>
        <p>The result of the calculation is the strait fire hazard indicator «Thermal radiation intensity (TRI)".
The threshold values of the TRI are known, with which the values of the TRI obtained during the
assessment are compared. The next stage of building a model of the destruction of technical objects and
personnel of the REI is the construction of an evaluation algorithm that serves as the basis for writing
computer code.
2.2.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Building the algorithm  </title>
      <p>In our case, with the damaging factors of emergency sources, we are dealing with a mathematical
model of the impact of thermal radiation. This is an analytical deterministic model where there are
formulas and there is no uncertainty in the source data. Based on the basic operations of the method for
calculating the intensity of thermal radiation, the authors developed a calculation algorithm that serves
as the basis for writing the code of the application program. The algorithm is developed using the
Flowchart program, which can be used to create visual flowcharts. For this purpose, pseudocode was
prepared using the syntax of the C++ language.
2.3.</p>
      <p> Program interface  
design is shown in Figure 1:.</p>
      <p>The program interface is designed for user interaction with the program. An example of the interface
Figure 1: The  main  view  of  the  window  of  the  computer  program  «Calculation  of  the  intensity  of 
thermal radiation» 
2.4.</p>
    </sec>
    <sec id="sec-5">
      <title>Computational experiment   </title>
      <p>
        Given that it is not possible to conduct a full-scale or even semi-natural experiment, due to its danger
and limited resources, we will conduct a computational experiment using computer modeling methods
[
        <xref ref-type="bibr" rid="ref14 ref15 ref16">14-16</xref>
        ].
      </p>
      <p>Having built a mathematical model, the calculation algorithm obtained on the basis of the evaluation
method and the developed application in the C++ programming language, we will conduct a
computational experiment to find the dependence "the intensity of thermal radiation – the distance from
the object to the geometric center of the strait".</p>
      <p>The aim of the experiment is to find safe distances that can be found by knowing the threshold table
values of the intensity of thermal radiation.</p>
    </sec>
    <sec id="sec-6">
      <title>3. Results and discussion </title>
      <p>Table 1  
Results of the computational experiment </p>
      <p>The results of the computational experiment are summarized in Table 1. and are presented in Graph.
 </p>
      <p>Head 1 
1 
2 
3 
4 
5 
6 
7 
8 
9 
10 
11 
12 </p>
      <p>R,m 
12.7 
13 
14 
15 
16 
17 
18 
19 
20 
21 
22 
23 </p>
      <p>Q kW/m2 
16.345 
14.680 
11.824 
10.020 
8.668 
7.596 
6.717 
5.983 
5.357 
4.824 
4.360 
4.000 
)
r
(q 8
6
4
2
0
Figure 2: Graph of the intensity of thermal radiation from the distance to the geometric center of the 
fire source </p>
      <p>Thus, with the help of a mathematical model and a built-up graph of dependence, the danger to
humans and the fire load of being in the fire zone is clearly visible and it is possible to determine the
safe distance, which was 23 m. There is a real opportunity, avoiding routine operations, with the help
of a computer application, to predict the parameters of a dangerous phenomenon and to assess the
adverse consequences for the person and the equipment of the REI.</p>
      <p>Knowing the hazard indicators, you can make management decisions and take actions to organize
production in such a way as to minimize damage.</p>
      <p>Such actions are called emergency prevention measures. Being in the fire zone, a person has the
opportunity to apply methods of protection against emergencies.</p>
    </sec>
    <sec id="sec-7">
      <title>4. Conclusion </title>
      <p>Thus, in the course of the work, the main results were obtained:
1. A deterministic analytical mathematical model of the process of exposure of the DF to thermal
radiation on the object under study is developed.
2. The algorithm of the program is built;
3. Developed the program interface;
4. A computational experiment was conducted, which showed that with the help of the developed
computer modeling tools, it is possible to predict the consequences and find the dependence of qi on
the distance from the geometric center of the strait fire to the object at risk.
5. Safe distances are determined for the case of a person being in the fire zone. Given that energy
sources are concentrated on a small area in the REP production facilities, there is a danger for the
personnel of these industries.
5. References </p>
    </sec>
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