INVESTIGATION OF THE CONJUGATE HEAT AND MASS TRANSFER AT IGNITION AND SUBSEQUENT NONSTATIONARY EROSION COMBUSTION OF POWDERS UNDER CONDITIONS CLOSE TO THOSE OF FIRING A SHOT

The laws of combustion of powders under conditions close to those of fi ring an artillery shot have been investigated.
A solid-state local heat ignition model was used, and the process of powder combustion was simulated on the basis
of the notions of the Belyaev–Zel′dovich thermal combustion theory. The complete formulation of the combustion
problem includes the nonstationary processes of heat propagation and chemical transformation in the k-phase,
as well as the quasi-stationary processes in the chemically reacting two-stage turbulent boundary layer near the
combustion surface related to the characteristics of the averaged nonstationary fl ow by the boundary conditions
at the outer boundary of the boundary layer. The features of the joint solution of the equations of the thermal
combustion theory and the equations of internal ballistics have been analyzed. The questions on the convergence of
the conjugate problem have been considered. The infl uence of various factors on the rate of combustion of powder
has been investigated. The investigations conducted enabled us to formulate an approximate method for calculating
the nonstationary and erosion rates of combustion of artillery powders at a shot on the basis of the Lenouard–
Robillard–Karakozov approach.
The laws of combustion of powders under conditions close to those of fi ring an artillery shot have been investigated.
A solid-state local heat ignition model was used, and the process of powder combustion was simulated on the basis
of the notions of the Belyaev–Zel′dovich thermal combustion theory. The complete formulation of the combustion
problem includes the nonstationary processes of heat propagation and chemical transformation in the k-phase,
as well as the quasi-stationary processes in the chemically reacting two-stage turbulent boundary layer near the
combustion surface related to the characteristics of the averaged nonstationary fl ow by the boundary conditions
at the outer boundary of the boundary layer. The features of the joint solution of the equations of the thermal
combustion theory and the equations of internal ballistics have been analyzed. The questions on the convergence of
the conjugate problem have been considered. The infl uence of various factors on the rate of combustion of powder
has been investigated. The investigations conducted enabled us to formulate an approximate method for calculating
the nonstationary and erosion rates of combustion of artillery powders at a shot on the basis of the Lenouard–
Robillard–Karakozov approach.
Author:  I. G. Rusyak and A. M. Lipanov
Keywords:  ignition, combustion, nonstationary, turbulence, erosion, heat and mass transfer, conjugate problem, computing method, internal ballistics, artillery shot
Page:  1527