# Науковий вісник НГУ

## Mathematical simulation of gas mixture forsed ignition for the calculation of the damaging factors of emergency explosion

User Rating:  / 0
PoorBest

Authors:

A.V.Chernai, Dr. Sc. (Phys.-Math.), Prof., State Higher Educational Establishment “National Mining University”, Dnipro, Ukraine, email: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Selection and substantiation of the method of calculating the parameters of the ignition of gas mixtures with a heated body, the calculation of parameters and the evaluation of the reliability of performance of the established criteria for the initiation of the gas explosion.

Methodology. Mathematical simulation, numerical experiment, analysis and synthesis of the results.

Findings. The task of unsteady-state conduction problem of finding the temperature distribution in the thermal layer, near a source of ignition of air-gas mixture was set. Boundary conditions for a spherical source of ignition were defined. To solve the problem it was proposed to use the method of integral heat balance in which the thermal conductivity equation is replaced by the integral heat balance. Solutions of this equation are sought in the form of a polynomial of the second degree, i.e., the desired temperature profile in the thermal layer is represented as a quadratic parabola. As a result, an equation of the parabola as a dependence of temperature on the coordinates, time, heat capacity and heat generation from the ignition source is obtained. This solution allowed determining the effect of thermal oxidation of methane and, on that basis showing the convergence of the numerical method with the results of the analytical solution.

Originality. On the basis of the theory of thermal ignition and quasi-static approach, an analytical solution of the problem is found by methods of the integral balance, non-stationary temperature distribution in the thermal layer near a source of ignition of air-gas mixture. The thermal effect of oxidation of methane near a source of ignition is defined and the convergence of the numerical method of calculation of parameters of shock airwaves with the results of the analytical solution in terms of performance of the ignition criterion is shown.

Practical value. The resulting solution makes it possible to analyze the accuracy of the computing process methods of numerical simulation of gasdynamic parameters of shock waves in the air of the initiation of combustion and explosion of gas-air mixtures. The analysis of the accuracy of the computational process allows the use of numerical methods in practical calculations of finding a safe distance from the centers of the explosion in the liquidation or predicting the consequences of accidents.

References/Список літератури

1. Golinko, V. I., Alekseienko, S. A. and Smolanov, I. N., 2011. Avariino-spasatelnyie raboty v shakhtakh [Rescue works in mines]. Dnipropetrovsk: Lira.

2. Totai, A. V., Kazakov, O. G. and Radkova, N. O., 2013. Teoriia goreniia i vzryva [The theory of combustion and explosion]. Moscow: Urait Publishing House.

3. Chernai, A. V., Nalisko, N. N. and Derevianko, A. S., 2016. The kinetics of oxidation of methane with oxygen and its role in the formation of explosive air waves in mine workings. Naukovyi Visnyk Natsionalnohо Hirnychoho Universytetu, No. 1, pp. 63–69.

4. Tkachuk, A. N. and Shevkunenko, V. A., 2009. Mathematical modeling of the explosion of a gas mix ture within the impermeable shell explosion. Naukovi pratsi DonNTU. Seriia: Hirnycho-elektromehanichna, Vol. 17, pp. 245–255.

5. Tropin, D. A. and Fiodorov, A. V., 2015. Physical and mathematical modeling of ignition and burning of silane in passing and reflected blow-waves. Fizika goreniya i vzryva, No. 4, pp. 37–45.

6. Polandov, Yu. Kh., Barg, M. A. and Babankov, V. A., 2012. On one embodiment, reducing the explosion pressure in the multi-pass gas furnaces. Pozharovzryvobezopasnost, No. 11, pp. 41–47.

7. Sobolev, V. V., Chernai, A. V., Iliushin, M. A. and Zhytnik, N. E., 1994. The method of producing the mechanical pulse loading based on the laser-blasting explosive compositions of coatings, Fizika goreniya i vzryva, No. 2, pp. 67–73.

8. Pozdeiev, S. V., 2011. Mathematical modeling of thermal processes in the firing furnace at a fire test jelly zobetonnoy columns. Industrial hydraulics and pneumatics, No. 1, pp. 19–27.

9. Belikov, A. S., Shalomov, V. A., Statsenko, Yu. F. and Korzh, E. N., 2015. Mathematical modeling of thermal processes in the firing furnace at a fire test jelly zobetonnoy columns, Stroitelstvo, materialovedeniie, mashinostroieniie. Seriia bezopasnost zhiznedeiatelnosti, Vol. 83, pp. 34–39.

Files:
 05_2016_Chernai 2016-11-15  629.92 KB  325

3371153
Today
This Month
All days
23
7805
3371153

### Guest Book

If you have questions, comments or suggestions, you can write them in our "Guest Book"

### Registration data

ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

### Contacts

D.Yavornytskyi ave.,19, pavilion 3, room 24-а, Dnipro, 49005
Tel.: +38 (056) 746 32 79.
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.