Mathematical modeling of the interaction of a supersonic heterogeneous flow with a flat obstacle


Аuthors

Grigorovsky V. V.*, Zubko A. A.**, Nikitin P. V.***, Kozhemyako А. S.****

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: grislavapro@gmail.com
**e-mail: shkuratenko.anna@mail.ru
***e-mail: petrunecha@gmail.com
****e-mail: sir.kozhemiacko@gmail.com

Abstract

The study of the interaction of a supersonic heterogeneous flow with a wall is of great importance for aviation and rocket technology, especially when flying in a non-uniform atmosphere. This task is implemented when creating protective coatings using low-temperature heterogeneous flows (NTGDM technology).
The paper considers two main aspects: supersonic flow around bodies; interaction of supersonic heterogeneous jets with surfaces during coating formation.
A mathematical model is proposed that takes into account interphase heat transfer and the dynamics of particle impact on the surface. The main study is devoted to the axisymmetric flow of the flow when impinging on a flat wall. When the flow interacts with an obstacle, a complex flow structure with shock waves and various compression shocks is formed. These phenomena play a key role in the formation of the final coating and its characteristics.
It has been established that when the mass fraction of the solid phase is up to 10 %, its influence on gas-dynamic processes becomes insignificant, and the task is reduced to the interaction of a gas jet with an obstacle. This discovery allows us to significantly simplify the mathematical modeling of the process without losing the accuracy of the results.
For the practical application of the NTGDM technology for the formation of protective coatings, the following assumptions are made: constancy of gas density; flatness of the shock wave; constancy of velocity gradients in the compressed layer; constancy of velocity relaxation coefficients; constancy of particle temperatures. These assumptions allow us to create a simplified, but fairly accurate model of the process, which can be effectively used in engineering calculations.
This approach allows us to effectively evaluate the parameters of particles before their collision with the surface and optimize the process of applying coatings using the NTGDM technology. At the same time, high accuracy of quality control of the coating and its performance characteristics is achieved.
The practical significance of this method lies in the possibility of creating protective coatings with specified properties, which is especially important for the aviation and space industries. The technology allows obtaining coatings with improved strength characteristics, increased wear resistance and resistance to aggressive environments.

Keywords:

supersonic heterogeneous flow, flat barrier, carrier gas, solid phase, mathematical model, high-speed aircraft, atmospheric anomalies, NTGDM technology, compression shock

References

  1. Nikitin PV. Heterogeneous flows in innovative technologies. Moscow: Janus-K; 2010. 245 p. (In Russ.).

  2. Panfilov SV, Romanyuk DA, Tsirkunov YuM. Dusty Gas Flow past Bodies under Scattering of Rebounded Partic-les. Bulletin of the Russian Academy of Sciences. Mechanics of Liquids and Gases, 2023;(4):64–80. (In Russ.). DOI: 10.31857/S1024708423600069

  3. Reviznikov DL, Sposobin AV, Sukharev TYu. Nume-rical modeling of supersonic polydisperse flow around a blunt body. High Temperature Thermophysics. 2015; 55:418–425. (In Russ.). DOI: 10.7868/S0040364417 010185

  4. Pokusaev BG, Nekrasov DA. Two-phase flows: hydrodynamics and heat and mass transfer (based on the materials of the IHTC-16 and RNCT-7 conferences). Thermal Power Engineering. 2019;12:55–67. (In Russ.). DOI: 10.1134/С0040363619120087

  5. Kruglikov AE, Demidchenko VI. Liquid flow in nozzles: basic patterns of gas flow in nozzles and diffusers. Bulletin of Military Education. 2019;19(4):83–86. (In Russ.).

  6. Sternin LE. Fundamentals of gas dynamics of two-phase flows in nozzles. Moscow: Mashinostroenie; 1974. 212 p. (In Russ.).

  7. Abramovich GN. Applied gas dynamics. Moscow: Nauka, 1976. 888 p. (In Russ.).

  8. Loytyansky LG. Mechanics of liquids and gases. Moscow: Nauka, 1973. 847 p. (In Russ.).

  9. Stepanenko SA. Gas dynamics and interphase heat transfer during supersonic heterogeneous flow impingement on an obstacle. Vestnik MAI. 2008;15(5):4. (In Russ.).

  10. Nikitin PV, Dikun YuV., Frolov YuP. A method for producing coatings. Patent RU 2082823 C1, 27.06.1997. (In Russ.).

  11. Nikitin PV, Dikun YuV, Smolin AG. Device for applying protective coatings. Patent RU 2089665 C1, 10.09.1997. (In Russ.).

  12. Nikitin PV. Thermal protection. Higher school textbook. Moscow: MAI; 2006. 510 p. (In Russ.).

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