MATHEMATICAL MODELING OF GRADUAL IGNITION PROCESS AND UNSTEADY EROSIVE BURNING OF GUNPOWDER CHARGE AT TRIGGERED ARTILLERY SHOT

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Published: May 10, 2015
Keywords:
mathematical modeling internal ballistics artillery systems mechanics of heterogeneous mediums ignition burning heat and mass exchange conjugate problem.

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Ivan Rusyak
Kalashnikov Izhevsk State Technical University

Abstract

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.

Article Details

Issue
Vol. 2 No. 1 (2015): JOURNAL OF COMPUTATIONAL AND ENGINEERING MATHEMATICS
Section
Survey Articles
Author Biography

Ivan Rusyak, Kalashnikov Izhevsk State Technical University

Doctor of Technical Sciences, Professor, Head of Department of Mathematical Support for Information Systems

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