Construction and implementation of a thermal model of aeromethane mixture combustion in the mine atmosphere, considering its kinetics


Annotation:

At the coal deposits exploitation by using underground methods, as a rule, negative factors that reduce coal production and miners' safety exhibit. These factors include, first of all, methane emitted from the broken coal and the coal dust as an inevitable result of work of headers and cleansing combines. Interacting with the atmosphere of mines, methane and coal dust generate dust- and dust-gas-aerial mixtures where thermophysical and chemical processes take place. First of all, these processes are combustion and detonation that until recently were included into the category of highly hazardous accidents. 

Based on the assumptions of single-stage chemical reaction of combustion and ideal gas agents and reaction products, an attempt to construct a math model of combustion of aeromethane mixture, considering the kinetics of chemical reaction of the origin agents. Three justified simplifying suggestions are made. The first implies that the pressure derivative is negligibly small in relation to the temperature derivative. The second implies that the area of laminar combustion consists of two zones: the mixture is being heated in one of them, and the combustion chemical reaction takes place in the other. The third implies that the temperature of mixture’s ignition does not significantly differ from the end temperature of the mixture at the completion of combustion reaction. 

A boundary value problem for the ordinary non-linear differential equation of the second order is set. Considering the simplifying assumptions, this was reduced to the linear equation whose solution is found in quadrature. The formulas describing combustion process have been developed. The dependences of the rate of laminar combustion on a number of mixture’s properties are established.

References:
1. Vasilev A.A., Vasilev V.A. Calculated and experimental parameters of combustion and detonation mixtures based on methane and coal dust. Vestnik Nauchnogo tsentra po bezopasnosti rabot v ugolnoy promyshlennosti = Industrial Safety. 2016. № 2. pp. 8–39. (In Russ.).
2. Vasiliev A.A., Pinaev A.V., Trotsyuk A.V., Fomin P.A., Trubitsyn A.A., Trubitsyna D.A. Complete suppression of detonation and combustion of methane mixtures of dust veil. Vestnik Nauchnogo tsentra po bezopasnosti rabot v ugolnoy promyshlennosti = Industrial Safety. 2015. № 4. pp. 12–21. (In Russ.).
3. Vasilev A.A., Pinaev A.V., Trubitsyn A.A., Crachev A.Y., Trotsyuk A.V., Fomin P.A., Trilis A.V. What is burning in coal mines: methane or coal dust? Combustion, Explosion, and Shock Waves. 2017. Vol. 53. Iss. 1. pp. 8–14. DOI: 10.1134/S0010508217010026
4. Cherdantsev S.V., Lee Khi Un, Filatov Yu.M., Shlapakov P.A. Determination of critical ignition temperature of micro-heterogeneous dust/gas-air mixtures in mines. Gornyy informatsionno-analiticheskiy byulleten = Mining Informational and Analytical Bulletin. 2018. № 1. pp. 117–125. (In Russ.). DOI: 10.25018/0236-1493-2018-1-0-117-125
5. Cherdantsev S.V., Lee Khi Un, Filatov Yu.M., Shlapakov P.A. Procedure analysis of burning out of the poor-dispersion dust-gas-air mixture moving in mine openings airflows. Khimicheskaya fizika i mezoskopiya = Chemical Physics and Mesoscopy. 2017. Vol. 19. № 4. pp. 513–523. (In Russ.).
6. Cherdantsev S.V., Shlapakov P.A., Shlapakov E.A., Lebedev K.S., Erastov A.Yu. Thermophysical and gas-dynamic conditions of deflagration and detonation processes in dust-gas-air flows of mine workings near the centers of self-heating. Khimicheskaya fizika i mezoskopiya = Chemical Physics and Mesoscopy. 2019. Vol. 21. № 2. pp. 179 –189. (In Russ.). DOI: 10.15350/17270529.2019.2.20
7. Kurlenya M.V., Skritsky V.A. Methane Explosions and Causes of Their Origin in Highly Productive Sections of Coal Mines. Journal of Mining Science. 2017. Vol. 53. Iss. 5. pp. 861–867.
8. Bykovskii F.A., Zhdan S.A., Vedernikov E.F. Continuous detonation of methane/hydrogen-air mixtures in an annular cylindrical combustor. Combustion, Explosion, and Shock Waves. 2018. Vol. 54. № 4. pp. 472–481. DOI: 10.1134/S0010508218040111
9. Ershov A.P., Rubtsov I.A. Detonation of low-density explosives. Combustion, Explosion, and Shock Waves. 2019. Vol. 55. № 1. pp. 114–120. DOI:10.1134/S0010508219010131
10. Shevchuk V.G., Kondratev E.N., Zolotko A.N., Sidorov A.E., Oparin A.S. Wave regimes of dust combustion. Fizika goreniya i vzryva = Physics of combustion and explosion. 2014. Vol. 50. № 1. pp. 90–96. (In Russ.).
11. Frank-Kamenetskiy D.A. Diffusion and Heat Transfer in the Chemical Kinetics. Moscow: Nauka, 1987. 502 p. (In Russ.).
12. Denisov E.T., Sarkisov O.M., Likhtenshteyn G.I. Chemical kinetics: textbook for universities. Moscow: Khimiya, 2000. 568 p. (In Russ.).
13. Rakhmatullin Kh.A., Sagomonyan A.Ya., Bunimovich A.I., Zverev N.N. Gas dynamics. Moscow: Vysshaja shkola, 1965. 723 p. (In Russ.).
14. Ovsyannikov L.V. Lectures on the basics of gas dynamics. Moscow–Izhevsk: Institut kompyuternykh issledovaniy, 2003. 336 p. (In Russ.).
15. Bartlme F. Gas dynamics of combustion. Moscow: Energoizdat, 1981. 280 p. (In Russ.).
DOI: 10.24000/0409-2961-2021-9-7-14
Year: 2021
Issue num: September
Keywords : mine workings the Arrhenius law normal burning velocity aeromethane mixtures thermal model of combustion ignition temperature kinetic equation of reaction
Authors:
  • Cherdantsev S.V.
    Cherdantsev S.V.
    Dr. Sci. (Eng.), Chief Research Associate, svch01@yandex.ru AO «Scientific Research Center VostNII on Safety of Work in the Mining Industry», Kemerovo, Russia
  • Shlapakov P.A.
    Shlapakov P.A.
    Cand. Sci. (Eng.), Laboratory Head AO «Scientific Research Center VostNII on Safety of Work in the Mining Industry», Kemerovo, Russia
  • Goloskokov S.I.
    Goloskokov S.I.
    Cand. Sci. (Eng.), Laboratory Head AO «Scientific Research Center VostNII on Safety of Work in the Mining Industry», Kemerovo, Russia
  • Batrakov D.N.
    Batrakov D.N.
    Laboratory Head AO «Scientific Research Center VostNII on Safety of Work in the Mining Industry», Kemerovo, Russia