One Case of Shock-free Deceleration of a Supersonic Flow in a Constant Cross Section Area Channel

Authors

DOI:

https://doi.org/10.14529/jsfi220402

Keywords:

supersonic flow, permeable wall, Mach number, deceleration, injection/suction

Abstract

Air flows with supersonic speeds are used in many cases, for example, as aircraft air intakes, wind tunnels, and energy separation devices. In many cases it is necessary to decelerate the flow to sonic speeds. Traditionally the deceleration realized through the shocks system, which leads to total pressure losses. The article considers the method of deceleration of supersonic flows using permeable surfaces. In this case, the deceleration process occurs without shocks and, therefore, with lower total pressure losses. We have considered the flow in a tube with permeable wall located behind a supersonic nozzle. One-dimensional and axisymmetric mathematical models of such a device are developed. The calculation results are compared with experimental data. It is shown that, depending on the ratio of pressure inside the tube and the ambient pressure, different flow regimes inside the tube are possible: pure subsonic, transitional from supersonic to subsonic, and pure supersonic. The transition from supersonic to subsonic flow occurs without shocks due to the suction and friction combined effects.

References

Emmons, H.: Fundamentals of gas dynamics. High Speed Aerodynamics and Jet Propulsion, Princeton University Press (1958)

Geuzaine, C., Remacle, J.F.: Gmsh: A 3-D finite element mesh generator with built-in preand post-processing facilities. International Journal for Numerical Methods in Engineering 79(11), 1309–1331 (Sep 2009). https://doi.org/10.1002/nme.2579

Grodzovskii, G., Nikol’skii, A., Svishchev, G., Taganov, G.: Supersonic gas flows in perforated boundaries. Mashinostroenie (1967)

Gus’kov, O.V., Kopchenov, V.I., Lipatov, I.I., et al.: Stagnation processes of supersonic flows in channels. Fizmatlit (2008)

Khazov, D.E.: On the question of gas-dynamic temperature stratification device optimization. Journal of Physics: Conference Series 891(1), 012078 (2017). https://doi.org/10.1088/1742-6596/891/1/012078

Kutateladze, S.S., Leontiev, A.I.: Turbulent Boundary Layers in Compressible Gases. Academic Press and Arnold (1964), (translated and exquisitely commented by D.B. Spalding)

Leontiev, A.I., Volchkov, E.P., Lebedev, V.P.: Thermal protection of plasmatron walls. Low temperature plasma, vol. 15. In-t teplofiziki SO RAN, Novosibirsk (1995)

Leontiev, A.I., Zditovets, A.G., Kiselev, N.A., et al.: Experimental investigation of energy (temperature) separation of a high-velocity air flow in a cylindrical channel with a permeable wall. Experimental Thermal and Fluid Science 105, 206–215 (2019). https://doi.org/10.1016/j.expthermflusci.2019.04.002

Rennels, D., Hudson, H.: Pipe Flow: A Practical and Comprehensive Guide. Wiley (2012)

Shapiro, A., H.: The dynamics and thermodynamics of compressible fluid flow, vol. 1. The Ronald Press Company (1953)

Vinogradov, Y., Leontev, A.: Gas flow in a supersonic axisymmetric nozzle with a permeable insert. Fluid Dynamics (5), 205–208 (1999)

Zditovets, A.G., Leontiev, A.I., Kiselev, N.A., et al.: Experimental study of the temperature separation of the air flow in a cylindrical channel with permeable walls. In: Proceedings of the 16th International Heat Transfer Conference, IHTC-16, Beijing, China (2018). https://doi.org/10.1615/IHTC16.her.021878

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Published

2022-12-30

How to Cite

Khazov, D. E. (2022). One Case of Shock-free Deceleration of a Supersonic Flow in a Constant Cross Section Area Channel. Supercomputing Frontiers and Innovations, 9(4), 18–27. https://doi.org/10.14529/jsfi220402