Abstract
A mathematical model of the shot fired from a powder propellant setup is developed. An arbitrary number of powder particles of various types are supposed to be in a propellant charge, which are different in size, shape, energy characteristics, and layer-by-layer burning velocity. The products of their combustion represent a mixture of non-viscous non-heat conductive gases with known equations of state. These gases are generated during combustion of the powder particle of a corresponding type. Some condensed particles may occur in the mixture of combustion products during the burning of powder particles. The motion of the polydispersed mixture of combustion products along a varying-cross-section channel is described by the laws of conservation of mass, momentum, and energy. When formulating these laws, the mass, momentum, and energy exchange between gas and condensed phases is taken into account. The formulation is universal and allows one to use the laws for modelling a wide range of internal ballistic phenomena. In this paper, a theoretical parametric research is shown as an example, which is aimed at estimating the effect of quantity of the occurring condensed particles on basic ballistic characteristics of a shot.
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