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Numerical simulation of the unsteady combustion of solid rocket propellants at a harmonic pressure change

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Abstract

This study focuses on a numerical investigation of the unsteady burning rate of solid propellants at a harmonic pressure change in the combustion chamber of a solid propellant rocket engine. The physico-mathematical model includes the equations of heat transfer and decomposition of the oxidizer in the solid phase and two phases, the dual velocity, and the two-temperature reaction flow of gasification products. The boundary conditions on the solid fuel surface implement the conservation of energy fluxes and the mass of components. We numerically calculate the unsteady burning rate of metallized solid propellant and nitroglycerin powder under a harmonic pressure change in the combustion chamber of a solid propellant rocket engine and determine the dependence of the burning rate amplitude on the frequency of pressure oscillations. The amplitude of the burning rate depends nonmonotonously on the oscillation frequency. With increasing frequency, the amplitude first rises and then declines.

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Acknowledgements

This work was supported by a grant (No 8.2.09.2018) from «The Tomsk State University Competitiveness Improvement Programme».

Author information

Correspondence to Krainov Alexey.

Additional information

Recommended by Editor Yong Tae Kang

Krainov Alexey is a Professor with Ph.D. in Physical and Mathematical Sciences, specializing in thermophysics and theoretical heat engineering (2003, Russia, Tomsk). He works at the National Research Tomsk State University in the Department of Mathematical Physics. His scientific interests are combustion theory, chemical gas dynamics, and heat and mass transfer. Krainov is a coauthor of the gas-dynamic method for calculating explosion-proof distances in accidental explosions of methane in coal mines, which is used by engineering and technical staff to draw up plans for accident elimination.

Poryazov Vasiliy is an Associate Professor with Ph.D. in Physical and Mathematical Sciences, specializing in thermophysics and theoretical heat engineering (2015, Russia, Tomsk). He works at the National Research Tomsk State University in the Department of Mathematical Physics. His research interests include combustion theory, chemical gas dynamics, and heat and mass transfer.

Krainov Dmitry works as an assistant at the National Research Tomsk Polytechnic University. He has a Ph.D. in Physical and Mathematical Sciences, specializing in thermophysics and theoretical heat engineering (2016, Russia, Tomsk). His scientific interests are gas dynamics, numerical simulation, combustion, and heat and mass transfer.

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Alexey, K., Vasiliy, P. & Dmitry, K. Numerical simulation of the unsteady combustion of solid rocket propellants at a harmonic pressure change. J Mech Sci Technol 34, 489–497 (2020). https://doi.org/10.1007/s12206-019-1246-5

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Keywords

  • Burning rate amplitude
  • Mathematical model
  • Metallized solid propellant
  • Nitroglycerin powder
  • Pressure oscillation
  • Unsteady burning rate