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Numerical
simulation of an emergency explosions of the mining atmosphere
Ì.Ì. Nalisko1*,
L.I. Bartashevska2
1 State Higher
Education Establishment «Pridneprovsk State
Academy of Civil Engineering and Architecture», Dnipro, Ukraine
2 Dnipro University
of Technology, Dnipro, Ukraine
*Corresponding
author: e-mail: 59568@i.ua
Physical and
technical problems of mining production, 2020, (22), 85-102.
https://doi.org/10.37101/ftpgp22.01.007
full
text (pdf)
ABSTRACT
Purpose. Development of
an effective scheme for numerical calculation of the joint solution of the
problem of gas dynamics and chemical kinetics of combustion of a gas-air
medium on the basis of the large-particle method.
Methods. 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 proposed in the numerical scheme of the method of large
particles concentration function, which allows to take
into account the multicomponent composition of the gas medium. This
function is determined at the stage of formation of the calculation area
and in each cell of the calculation scheme it
determines the mole fraction of each substance. The function is involved in
the calculation of mass flows across the boundaries of the calculated
cells, determining the mass of the overflow for each substance. The
concentration function makes it possible to introduce into the numerical
scheme the equations of chemical kinetics in the form of the Arrhenius
equation and to distinguish the chemical reaction components and combustion
products. In the problem of calculating detonation explosions, strong
pressure gradients arise which, when the front of the shock wave reaches
the free exit boundary, nonphysical fluctuations of the parameter are generated. To exclude their influence on the process
under consideration, various types of approximation of parameters in the
fictitious layer of the design scheme are analyzed. From the analysis of physical processes an effective form of the boundary conditions
is found for a free yield for the problem of propagation of a shock wave in
a channel.
Originality. Modification of
the numerical method of large particles due to the introduction of a
concentration function allows the joint solution of the problem of gas
dynamics and chemical kinetics of explosive combustion of a gas-air medium.
For correct operation of the boundary conditions, a free exit into the
conditions of discontinuous flows is developed for the scheme of
approximation of the parameter in a fictitious layer on
the basis of the shock adiabat of a
particular gas.
Practical
implications. The modification of the large-particle method makes it possible to
conduct a numerical experiment on the calculation of safe distances in
emergency gas explosions in coal mine conditions,
and also on the basis of calculating the propagation of a shock air wave
through a channel to determine the dynamic loads on explosion-proof
structures.
Keywords: Air-gas mixture,
emergency explosion, numerical calculation, large particle method,
concentration function, non-reflecting boundary
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