RUS  ENG
Full version
JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021 Number 73, Pages 95–110 (Mi vtgu878)

This article is cited in 2 papers

MECHANICS

The impact of the dimension of a mathematical model of internal ballistics on design parameters of a shot for grain gunpowder charges

I. G. Rusyak, V. A. Tenenev

Kalashnikov Izhevsk State Technical University, Izhevsk, Russian Federation

Abstract: The problem of the impact of the mathematical model dimension on the calculated intraballistic characteristics of a shot for the charges made of granulated powder is considered. Mathematical models of the shot are studied using the spatial (axisymmetric), one-dimensional, and zero-dimensional (thermodynamic) formulations. The thermodynamic model takes into account the distribution of the pressure and velocity of a gas-powder mixture behind the shot for a channel of variable cross-section. Comparison of simulation results is carried out in a wide range of loading parameters. It is shown that there is a range of the loading parameters for a thermodynamic approach to give satisfactory approximation to the parameters obtained using the gas-dynamic approach, which describes the flow of a heterogeneous reacting mixture with a separate consideration of phases and intergranular interactions between them. Notably that in the entire range of the charging parameters studied in this work, the one-dimensional and twodimensional gas-dynamic models only slightly differ from each other. Therefore, in the main pyrodynamic period, the actuation of the charge, made of granulated powder, can be simulated using a one-dimensional gas-dynamic model or a zero-dimensional thermodynamic model with allowance for spatial distribution of the pressure and velocity of the gas-powder mixture.

Keywords: internal ballistics, mathematical model, dimension of a problem, computational algorithms, comparison of results.

UDC: 536.46

Received: 23.07.2021

DOI: 10.17223/19988621/73/9



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024