# Numerical Simulation Intra-chamber of Unsteady Turbulent Flows Stimulate. Part 2

A.M. Lipanov, A.A. Shumikhin, M.R. Koroleva, A.I. KarpovThe flow of gas in a solid-fuel rocket engine is determined by the peculiarities of the physico-chemical processes occurring in the combustion chamber and the process of gas outflow from the nozzle. The paper proposes a method for modeling internal unsteady turbulent flows in a rocket engine with a solid fuel charge of a telescopic type. A system of defining equations written in a cylindrical coordinate system describing the flow of a compressible viscous gas is given. A computational algorithm is proposed that belongs to the class of methods using the Godunov approach, developed on the basis of a modified flow vector splitting scheme. The obtained results of a numerical study of the flow in a model rocket engine show the dependence of the gas temperature on the engine wall on the combustion rate of a low-temperature external charge of a telescopic charge.Full text

- Keywords
- intra-chamber processes; turbulence; unsteady flow; computational fluid dynamics.
- References
- 1. Solomonov Yu.S., Lipanov A.M., Aliyev A.V., Dorofeev А.А., Cherepanov V.I. Tverdotoplivnye reguliruemye dvigatelnye ustanovki [Regulable Solid-Propellant Rocket Engines]. Moscow, Mashinostroenie, 2011. (in Russian)

2. Lipanov A.M., Kisarov Yu.F., Klyuchnikov I.G. [Numerical Method for Calculating Turbulent Flows and Heat Transfer in Aircraft Engines]. Izvestiya vuzov. Aviacionnaya tekhnika, 1988, no. 1, pp. 49-53. (in Russian)

3. Aliyev A.V., Амаrаntоv G.N. Vnutrennyaya ballistika raketnykh dvigateley na tverdom toplive [Internal Ballistics of Solid Propellant Rocket Engines]. Moscow, Mashinostroenie, 2007. (in Russian)

4. Godunov, S.K., Zabrodin A.V., Ivanov M.Ya., Kraiko A.N., Prokopov G.P. Chislennoe reshenie mnogomernyh zadach gazovoj dinamiki [Numerical Solution of Multidimensional Problems of Gas Dynamics], Moscow, Nauka, 1976. (in Russian)

5. Lipanov A.M., Dadikina S.Yu., Shumikhin A.A., Koroleva M.R., Karpov A.I. Numerical Simulation Intra-Chamber of Unsteady Turbulent Flows Stimulate. Part 1. Bulletin of the South Ural State University. Series: Mathematical Modelling, Programming and Computer Software, 2019, vol. 12, no. 1, pp. 32-43. (in Russian) DOI: 10.14529/mmp190103

6. Tadmor Z., Gogos C.G. Principles of Polymer Processing. New York, John Wiley and Sons, 1979.

7. Lipanov A.M. Teoreticheskaya gidromekhanika n'yutonovskih sred [Theoretical Hydromechanics of Newtonian Media]. Moscow, Nauka, 2011. (in Russian)

8. Kommisarov Yu.A., Gordeev L.S., Vent D.P. Processy i apparaty himicheskoj tekhnologii [Processes and Apparatuses of Chemical Technology. Part 1]. Moscow, URAIT, 2018. (in Russian)

9. Lykov A.V. Teplomassoobmen [Heat and Mass Transfer]. Moscow, Energiya, 1971. (in Russian)

10. Shumikhin A.A., Dadikina S.Yu. Numerical Simulation of a Compressible Viscous Gas Flow in Solid-Fuel Rocket Engine with a Central Body. Chemical Physics and Mesoscopy, 2020, vol. 22, no. 2, pp. 184-196. (in Russian) DOI: 10.15350/17270529.2020.2.18

11. Pino M.M., Piomelli U., Candler G.V. Subgrid-Scale Models for Compressible Large-Eddy Simulations. Theoretical and Computational Fluid Dynamics, 2000, vol. 13, no. 5, pp. 361-376.

12. Volkov K.N. [Simulation of Large Eddies of a Fully Developed Turbulent Flow in a Channel and Comparison of Subgrid Eddy Viscosity Models]. Journal of Applied Mechanics and Technical Physics, 2006, vol. 47, no. 3, pp. 31-42. (in Russian)

13. Steger J.L., Warming R.F. Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite Difference Methods. Journal of Computational Physics, 1981, vol. 40, no. 2, pp. 263-293. DOI: 10.1016/0021-9991(81)90210-2

14. Anderson W.K., Thomas J.L., Van Leer B. A Comparison of Finite Volume Flux Vector Splittings for the Euler Equations. AIAA Journal, 1986, vol. 24, no. 9, pp. 1453-1460. DOI: 10.2514/3.9465

15. Shumikhin A.A. Numerical Simulation of a Compressible Viscous Gas Flow Using Parallel Calculations. Chemical Physics and Mesoscopy, 2021, vol. 23, no. 3, pp. 292-302. DOI: 10.15350/17270529.2021.3.26