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Modification of the method of large particles in the problem of calculation of an accidental explosion in mine atmosphere

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Category: Environmental safety, labour protection

Last Updated on 17 November 2017

Published on 17 November 2017

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Authors:

M.M.Nalisko, Cand. Sc. (Tech.), Assoc. Prof., Prydniprovska State Academy of Civil Engineering and Architecture, Associate Professor of the Vital Activity Safety Department, Dnipro, Ukraine, e-mail: 59568@i.ua.

Abstract:

Purpose. Development of an effective scheme for numerical calculation of the joint solution of the problem of gas dynamics and the chemical kinetics of combustion of a gas-air medium on the basis of the large-particle method.

Methodology. Mathematical modeling, numerical experiment, analysis and generalization and results.

Findings. For joint solution of problems of gas dynamics and chemical kinetics of combustion gas environments it is proposed to introduce concentration function into the numerical scheme of the method of large particles, which allows taking into account the multicomponent composition of the gas medium. This function is defined at the stage of formation of the estimated area and it defines the mole fraction of each substance in each cell of the design scheme. The function is involved in the calculation of the mass flows across the boundaries of computational cells, determining the mass flow for each substance. The concentration function allows introducing equation of chemical kinetics into the numerical scheme in the form of the Arrhenius equation and differentiating chemical reaction components and combustion products. In the problem of calculation of detonation explosions there are strong gradients of pressures, which, at the exit of the shock front on the border of the “free exit” generate non-physical fluctuations of the parameter. To exclude their influence on the process analysis of different types of approximation of the parameters in the fictitious layer design scheme is conducted. From the analysis of physical processes effective form of the boundary conditions of “free exit” for the problem of shock wave propagation in the channel is found.

Originality. Due to the introduction of a concentration function, modification of the numerical method of large particles allows for the joint solution of problems of gas dynamics and chemical kinetics of combustion of an explosive gas-air environment. For correct operation of the boundary conditions of “free access” in terms of discontinuous currents approximation scheme of the parameter in a dummy layer based on shock adiabats of a specific gas has been developed.

Practical value. The conducted modification of the method of large particles allows carrying out numerical experiment on the calculation of safe distances in case of emergency of gas explosions in coal mines as well as determining the dynamic blast load on structures based on the calculation of distribution of air shock wave on the channel.

References:

1. Babkin, A. V., Kolpakov, V. I., Ohitin, V. N. and Selivanov, V. V., 2006. Numerical methods in problems of physics of fast processes. In: Applied continuum mechanics. Vol. 3. Moscow: MGTU im. N. E. Baumana [online]. Available at: <http://www.torrentino.online/torrent/789713>[Accessed 23 January 2017].

2. Kukudzhanov, V. N., 2006. Numerical methods in continuum mechanics. Moscow: MATI-RGTU [online]. Available at: <http://edu-lib.net/matematika-2/dlya-studentov/kukudzhanov-v-n-chislennyie-metodyi-v-mehanike-sploshnyih-sred-onlayn> [Accessed 23 January 2017].

3. Vasenin, I. M., Shrager, E. R., Kraynov, A. Y. and Paleev, D. Y., 2011. The mathematical modelling of nonsteady ventilation processes of coal mine working net. Computer researches and modelling, 3(2), pp. 155‒163.

4. Ageev, V. G., Grekov, S. P., Zinchenko, I. N. and Salahutdinov, T. G., 2013. Computer simulation development, spread and localization of explosions of methane-air mixtures in mines. The Journal of V.N.Karazin Kharkiv National University, 1058, pp. 5‒12.

5. Skob, Yu. A., 2013. Numerical modeling of detonation in gas mixtures. The Journal of V.      N. Karazin Kharkiv National University, 1058, pp. 149‒157.

6. Polandov, Yu. H. and Babankov, V. A., 2014. The effect of the location of the source of ignition in the premises for the development of gas explosion. Fire and Explosion Safety, 3, pp. 68‒74.

7. Egorov, M. Yu., 2014. Davydov's method as a modern method of placing the computational experiment in solid propellant engine. PNRPU Aerospace Engineering Bulletin, 37, pp. 6‒70.

8. Ilgamov, M. A. and Gilmanov, A. N., 2003. Non-reflecting conditions on boundaries of computational domain. Moscow: Fizmatlit [pdf]. Available at: <http://ikfia.ysn.ru/images/doc/chislovie_metody/IlgamovGilmanov2003ru.pdf> [Accessed 2 February 2017].

9. Iskovych-Lotoc'kyj, R. D., Ivanchuk, Ja. V., Povstenjuk, V. I. and Veselovs'kyj, Ja. P., 2016. Simulation of working processes in the pyrolysis plant for waste recycling, Eastern-European Journal of Enterprise Technologies, 1, 8(79), pp. 11‒20 [pdf]. Available at: http://journals.uran.ua/eejet/article/view/59419/55631 [Accessed 2 February 2017].

10. Lidskiy, B. V., Posvyanskiy, V. S. and Frolov, S. M., 2009. Nonreflecting boundary conditions on open boundaries for compressible and incompressible multidimensional flows. In: S. M. Frolov, ed. 2009. Combustion and explosion, 2, pp. 31‒35 [pdf]. Available at: <http://www.conferencecenter.ru/combex/conf2009.pdf> [Accessed 23 January 2017].

11. Pozdeev, S. V., Nekora, O. V., Demeshok, V. V. and Medved, B. Yu., 2016. Investigation of the behavior in fire timber frame with finite element method. Construction, Materials science, Mechanical Engineering: scientific works collection, Series: Life activity safety, 93, pp. 25‒31.

12. Chernai, A. V., Sobolev, V. V., Iliushin, M. A. and Zhitnik, N. E., The method of producing the mechanical pulse loading based on the laser-blasting explosive compositions of coatings, Combustion, Explosion, and Shock Waves, 2, pp. 106‒111 [pdf]. Available at: <http://www.sibran.ru/upload/iblock/789/789051705b1d5f2d37dbb20809f27ca8.pdf > [Accessed 25 January 2017].

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2017-11-15  2.09 MB  830

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