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Combustion, Explosion and Shock Waves

2013 year, number 6

Analytical Calculation of the Negative Erosive Burning Rate

K. O. Sabdenov, M. Erzada
Eurasian National University L.N. Gumileva, 010008 Astana, Kazakhstan
Keywords: negative erosive effect, critical Vilyunov number, Bulgakov–Lipanov number, kinetic energy of gas flow, initial combustion temperature of solid propellant

Abstract

The rate of negative erosive combustion is calculated using analytical methods and a simple model of the gas-phase chemical reactions A → B. The conversion of part of the thermal energy into the kinetic energy of motion of gaseous combustion products along the propellant gasification surface is taken into account within the model. Solutions are obtained for the cases where the thickness of the laminar sublayer is larger or smaller than the width of the combustion zone in the gas phase. The calculation results confirm the author's previous conclusion: manifestation reduction in the negative erosive effect with decreasing initial temperature of the propellant is caused by narrowing of the region of its occurrence.