Non-stationary behavior of a solid propellant charge for nozzleless solid rocket motors under gas-dynamic load | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 72. DOI: 10.17223/19988621/72/4

Non-stationary behavior of a solid propellant charge for nozzleless solid rocket motors under gas-dynamic load

The numerical solution to a conjugate problem of an unsteady flow of combustion products in a flow path of the nozzleless solid rocket motor (SRM) and the oscillation of a solid propellant charge under the action of the forces directed from combustion products is considered. The Navier-Stokes equations for a compressible viscous gas are used to mathematically describe the flow of the combustion products. To model the charge oscillations, the equations of solid mechanics are applied, which take into account the propellant hyperelasticity. Pressure distributions and the propellant burning rate along the charge channel are presented for different models of the propellant burning rate. It is revealed that at the stage of SRM design, the use of the burning rate law, determined by pressure in the head of the combustion chamber, is more preferable in order to assess the internal ballistic characteristics. The solution to the conjugate problem shows that in the nozzleless SRM with the propellant having low Young's modulus, resonance can occur, which causes uncontrolled charge oscillations.

Download file
Counter downloads: 83

Keywords

nozzleless solid rocket motor, hyperelasticity, charge oscillation, conjugate problem, resonance

Authors

NameOrganizationE-mail
Voropaeva Irina G.Tomsk State Universityirgev@yandex.ru
Kozulin Aleksandr A.Tomsk State Universitykozulyn@ftf.tsu.ru
Min’kov Leonid L.Tomsk State Universitylminkov@ftf.tsu.ru
Shrager Ernst R.Tomsk State Universitysher@ftf.tsu.ru
Всего: 4

References

Милехин Ю.М., Ключников А.Н., Попов В.С., Мельников В.П. Сопряженная задача моделирования внутрибаллистических характеристик РДТТ // Физика горения и взрыва. 2012. Т. 48. № 1. С. 38-46.
Модорский В.Я., Козлова А.В. Моделирование газоупругих колебательных процессов в ракетных двигателях твердого топлива // Вестник Самарского государственного технического университета. Серия Физико-математические науки. 2006. № 43. С. 163-167.
Nomesh Kumar, V. Venkateswara Rao. Hyperelastic Mooney-Rivlin Model: Determination and Physical Interpretation of Material Constants // MIT International Journal of Mechanical Engineering. 2016. V. 6. No. 1. P. 43-46.
Nowak Z. Constitutive modelling and parameter identification for rubber-like materials // Engineering Transactions. 2008. V. 56. No. 2. P.117-157.
Вилюнов В.Н. Теория зажигания конденсированных веществ. Новосибирск: Наука, 1984. 190 c.
Милехин Ю.М., Бурский Г.В., Лавров Г.С., Попов В.С., Садовничий Д.Н. Энергетика и внутренняя баллистика ракетных двигателей на твердом топливе. М.: Наука, 2018. 359 c.
Minkov L.L., Shrager E.R., Kiryushkin A.E. Two approaches for simulating the burning surface in gas dynamics // Key Engineering Materials. 2016. V. 685. P. 114-118. DOI: 10.4028/ www.scientific.net/KEM.685.114.
Патанкар С.В. Численные методы решения задач теплообмена и динамики жидкости. М.: Энергоатомиздат, 1984. 152 с.
Gany A., Aharon I. Internal Ballistics Considerations of Nozzleless Rocket Motors. // Journal of Propulsion and Power. 1999. V. 15. No. 6. P. 866-874. DOI: 10.2514/2.5509.
 Non-stationary behavior of a solid propellant charge for nozzleless solid rocket motors under gas-dynamic load | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 72. DOI: 10.17223/19988621/72/4

Non-stationary behavior of a solid propellant charge for nozzleless solid rocket motors under gas-dynamic load | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 72. DOI: 10.17223/19988621/72/4

Download full-text version
Counter downloads: 250