Parameters of steady-state oblique front of reaction in air–gas flows in roadways nearby spontaneous heating sources

Construction and operation of coal mines is often accompanied by gas dynamics and thermophysics effects, such as coal and gas outbursts, and detonation and shock waves in gas and dust–gas–air mixture in the mine air, which results in complex flows of mixtures with strong discontinuities. Such flows can be studied both experimentally, by simulation, and theoretically, by mathematical modeling with the equations of gas dynamics and thermophysics. This study considers the mathematical model of generation and propagation of a reaction front with its normal misaligned with respect to the longitudinal axis of roadway. The mathematical model rests upon the fundamental laws of conservation of mass, momentum and energy, with the assumption that air-and-gas flow is an ideal gas in the steady-state flow regime. The formulas and plots are obtained to connect pressure, density and temperature behind the reaction front with the Mach number of incoming flow. Some regular patterns are revealed at different slopes of the reaction front relative to the roadway axis. The formula and the relationships between the inflow angle and deflection angle of air-and-gas flow behind the reaction front are obtained for a series of the Mach and Damköhler numbers.

Keywords: roadways, air-and-gas flows, reaction front, laws of mass, momentum and energy conservation, pressure, density, temperature and turn angle of air-and-gas flow, Mach and Damköhler numbers.
For citation:

Cherdantsev S. V., Shlapakov P.A., Lebedev K. S., Erastov A. Yu., Khaymin S. A. Parameters of steady-state oblique front of reaction in air–gas flows in roadways nearby spontaneous heating sources. MIAB. Mining Inf. Anal. Bull. 2020;(12):65-77. [In Russ]. DOI: 10.25018/0236-1493-2020-12-0-65-77.

Acknowledgements:
Issue number: 12
Year: 2020
Page number: 65-77
ISBN: 0236-1493
UDK: 622.272:516.02
DOI: 10.25018/0236-1493-2020-12-0-65-77
Article receipt date: 20.02.2020
Date of review receipt: 15.04.2020
Date of the editorial board′s decision on the article′s publishing: 10.11.2020
About authors:

S.V. Cherdantsev1, Dr. Sci. (Eng.), Chief Researcher, e-mail: svch01@yandex.ru,
P.A. Shlapakov1, Cand. Sci. (Eng.), Head of Laboratory, е-mail: shlapak1978@mail.ru,
K.S. Lebedev1, Researcher, е-mail: lebedevks1987@yandex.ru,
A.Yu. Erastov1, Senior Researcher, e-mail: eractov_a_y@mail.ru
S.A. Khaymin1, Senior Researcher, е-mail: hsa007@mail.ru,
1 Join-stock company «Scientific Centre VOSTNII on Industrial and Ecological Safety in Mountain Industry» (JSC «NC VOSTNII»), 650002, Kemerovo, Russia.

 

For contacts:

S.V. Cherdantsev, e-mail: svch01@yandex.ru.

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