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Combustion, Explosion and Shock Waves

2020 year, number 2

On the Efficiency of Using a Real Pressure Dependence of the Solid Propellant Burning Rate in a Solid Rocket Motor

A. M. Lipanov1,2, L. N. Kolesnikova2, A. Yu. Leshchev3
1Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
2Kalashnikov Izhevsk State Technical University, Izhevsk, 426069 Russia
3Udmurt Federal Research Center, Ural Branch, Russian Academy of Sciences, Izhevsk, 426067 Russia
Keywords: твердое топливо, заряд, двигатель, давление, скорость горения, закон скорости горения, solid propellant, charge, engine, pressure, burning rate, burning rate-pressure dependence

Abstract

A comparative analysis of maximum pressures in a solid rocket motor obtained using exponential and real pressure dependences of the solid propellant burning rate on was performed. It is shown that at high exponents in the burning law, there is a large (tens of percent) difference between the maximum motor pressure obtained by the above two methods. In the case where the exponent is in the range of 0.3–0.4, the exponential pressure dependence of the burning rate overestimates motor pressure only by 2–3%.