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On the Effectiveness of Using the Real Law of Solid Propellant Burning Rate As a Function of Solid Rocket Motor Pressure

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Combustion, Explosion, and Shock Waves Aims and scope

Abstract

This paper presents a comparative analysis of the maximum possible solid rocket motor pressures obtained using the exponential and real laws of the propellant burning rate as a function of pressure. It is shown that at high exponents in the burning rate 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 0.3–0.4, the exponential burning rate law overestimates the motor pressure by only 2–3%.

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REFERENCES

  1. R. E. Sorkin, Theory of Intrachamber Processes in Solid Propellant Rocket Systems: Internal Ballistics (Nauka, Moscow, 1983) [in Russian].

  2. A. M. Lipanov, “Solid-Propellant Burning Rate as a Function of Pressure," Fiz. Goreniya Vzryva 49 (3), 34–38 (2013) [Combust., Expl., Shock Waves 49 (3), 283–287 (2013)].

  3. A. M. Lipanov, “Calculation of Pressure in a Solid-Propellant Rocket Motor with the Use of a Real Dependence of the Solid Propellant Burning Rate on Pressure," Fiz. Goreniya Vzryva 53(5), 87–92 (2017) [Combust., Expl., Shock Waves 53 (5), 569–573 (2017)].

  4. D. I. Abugov and V. M. Bobylev, Theory and Calculation of Solid Rocket Motors: A Textbook for Mechanical Engineering Colleges (Mashinostroenie, Moscow, 1987) [in Russian].

  5. E. F. Zhegrov, Yu. M. Milekhin, and E. V. Berkovskaya,Chemistry and Technology of Double-Base Powders and Solid Rocket and Special Propellants (Soyuz Federal Center of Dual Technologies, Moscow State University of Printing Arts, Moscow, 2011) [in Russian].

  6. “Internal Ballistics a Solid Rocket Motors," Ed. by A. M. Lipanov and Yu. M. Milekhin (Mashinostroenie, Moscow, 2007) [in Russian].

  7. A. M. Lipanov and A. V. Aliev, Design of Solid Rocket Motors (Mashinostroenie, Moscow, 1995) [in Russian].

  8. I. N. Bronshtein and K. A. Semendyaev, Handbook of Mathematics for Engineers and Students of Technical Colleges(Nauka, Moscow, 1986) [in Russian].

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    A. M. Lipanov

  2. Kalashnikov Izhevsk State Technical University, 426069, Izhevsk, Russia

    A. M. Lipanov & L. N. Kolesnikova

  3. Udmurt Federal Research Center, Ural Branch, Russian Academy of Sciences, 426067, Izhevsk, Russia

    A. Yu. Leshchev

Authors
  1. A. M. Lipanov
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  2. L. N. Kolesnikova
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  3. A. Yu. Leshchev
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Correspondence to A. M. Lipanov.

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Lipanov, A.M., Kolesnikova, L.N. & Leshchev, A.Y. On the Effectiveness of Using the Real Law of Solid Propellant Burning Rate As a Function of Solid Rocket Motor Pressure. Combust Explos Shock Waves 56, 172–180 (2020). https://doi.org/10.1134/S0010508220020082

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  • DOI: https://doi.org/10.1134/S0010508220020082

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