Mathematical modeling of gradual ignition process and unsteady erosive burning of gunpowder charge at triggered artillery shot

The paper describes issues of mathematical modeling of the intraballistic artillery process at triggered artillery shot for various constructions of the charge. Formulation of the problem based on the description of intrabarrel flow by position of mechanics of heterogeneous mediums and multispeed continuum is presented. A general system of equations was obtained in the one-dimensional approximation, describing the unsteady movement of two-phase gas gunpowder mixture in the barrel and justice for various, including combined, charge structures. Specification of functions for mass, power and energy interaction between the combustion products and gunpowder components with different shapes was carried out. The conjugate problem formulation for gas dynamics of gradual ignition, unsteady and erosive burning of gunpowder was formulated. The full problem definition includes unsteady processes of heat distribution and chemical transformation in the $k$-phase in a blowing factor. The process of heating and burning for k-phase is considered within the local solid-phase A.G. Merzhanov – F.I. Dubovitskiy model. Erosive burning effects are modeled from position of J. Lenoir – J. Robilliard – G.K. Karakozov approach.