Stability of Supersonic Boundary Layer with Internal Heat Supply and Injection of Homogeneous Gas through a Porous Wall
https://doi.org/10.25205/2541-9447-2023-18-2-54-65
Abstract
The influence of the Mach number and Reynolds number on the stability of the boundary layer with internal heat supply and homogeneous gas injection through the porous wall is studied. At a fixed Mach numbers, the dependence of perturbation amplification rate on the distance to the plate leading edge is not monotonic. As the Reynolds number increases, the phase velocity tends to the velocity at the inflection generalizing point. Two-dimensional waves are the most growing in the boundary layer. With increasing Mach number and a fixed distance from the plate, edge there is a strong stabilization of the boundary layer. At M=4 the amplification rate maximum decreases in comparison with the corresponding value at M=0 by more than an magnitude order, and the length of the stable boundary layer increases by a factor of 2. At the same time, a frequency at the neutral curve critical point decreases by a factor of about three. It has been establishing that both in the absence of gas injection through a porous wall and in its presence, the internal heat supply has a stabilizing effect on the boundary layer. Within the adopted model of heat supply at M=3 the degree of amplification decreases by about one and a half times in comparison with the case without internal heating of the boundary layer
Supporting agencies: The study was funded by the Russian Science Foundation grant No. 22-21-00017, https://rscf.ru/project/22-21-00017.
About the Author
S. A. Gaponov
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS
Russian Federation
Russian Federation
Sergey A. Gaponov - Doctor of Science (Physics and Mathematics)
Novosibirsk
References
1. Fomin, V. V., Tretyakov, P., Taran, J.-P. Flow control using various plasma and aerodynamic approaches (short review) // Aerospace Sci. and Technology. 2004. Vol. 8, no. 5. P. 411–421. DOI:10.1016/j.ast.2004.01.005
2. Bletzinger, P., Ganguly, B., Van Wie, D., Garscadden, A. Plasmas in high speed aerodynamics// J. of physics D: Applied physics. 2005. Vol. 38, no. 4. P. R33–R57. DOI:10.1088/0022-3727/38/4/R01
3. Zheltovodov, A. A., Pimonov, E. A., Knight, D. D. Energy deposition influence on supersonic flow over axisymmetric bodies // AIAA Paper. 2007. No. 2007–1230. 31 p. DOI:10.2514/6.2007-230
4. Knight, D. D. Survey of aerodynamic drag reduction at high speed by energy deposition // J. of Propulsion and Power. 2008. Vol. 24. No. 6. P. 1153–1167. DOI:10.2514/1.24595
5. Levin, V. A., Gromov, V. G. & Afonina, N. E. Numerical analysis of the effect of local energy supply on the aerodynamic drag and heat transfer of a spherically blunted body in a supersonic air flow // J Appl Mech Tech Phys. 2000. Vol.41. P. 915–922. https://doi.org/10.1007/BF02468738 (in Russ.)
6. Georgievskii, P. Y., Levin, V. A. Supersonic streamline of a body with heat input in front of it // Proceedings of the MIAS. 1989. Vol. 186. P. 197–202. (in Russ.)
7. Georgievskii, P. Y., Levin, V. A. Control of the flow past bodies using localized energy addition to the supersonic oncoming flow // Fluid Dynamics. 2003. Vol. 38. P. 794–805. https://doi.org/10.1023/B:FLUI.0000007841.91654.10 (in Russ.)
8. Kazakov, A. V., Kogan, M. N. & Kuryachii, A. P. Effect of local heat supply to a turbulent boundary layer on the friction // Fluid Dynamics. 1997. Vol. 32. P. 39–45. https://doi.org/10.1007/BF02697935 (in Russ.)
9. Larin, O. B., Levin, V. A. Energy Addition to a Gas in a Turbulent Supersonic Boundary Layer // Journal of Applied Mechanics and Technical Physics. 2001. Vol. 42. P. 87–90. https://doi.org/10.1023/A:1018812729144 (in Russ.)
10. Lukashov, V. V., Terekhov, V. V. & Terekhov, V. I. Near-wall flows of chemical reactants: A review of the current status of the problem // Combust Explos Shock Waves. 2015. Vol. 51. P. 160–172. https://doi.org/10.1134/S0010508215020033 (in Russ.)
11. Gaponov, S. A. Approximate formulation of the problem of boundary layer stability with diffusion combustion // Combust Explos Shock Waves. 2023. Vol. 59. P. 215–223. https://doi.org/10.1134/S0010508223020120 (in Russ.)
12. Gaponov, S. A. Stability of the boundary layer with internal heat release and gas injection through a porous wall // Fluid Dynamics. 2022. Vol. 57. P. 587–596. https://doi.org/10.1134/S0015462822050044 (in Russ.)
13. Volchkov, E. P., Lukashov, V. V., Terekhov, V. V., Hanjalic, K. Characterization of the flame blow-off conditions in a laminar boundary layer with hydrogen injection // Combustion and Flame. 2013. Vol. 160. P. 1999–2008. DOI:10.1016/j.combustflame.2013.04.004
14. Lees L. The stability of the laminar boundary layer in a compressible fluid // NACA TR. 1947. No 876. 47 p. DOI:10.1090/psapm/001/0029654
15. Fjortoft, R. Application of integral theorems in deriving criteria of stability for laminar flows and for the baroclinic circular vortex // Geophys. Publ. Oslo. 1950. Vol. 17, no 6. P. 1–52.
16. Shin, D. S., Ferziger, J. H. Linear stability of the reacting mixing layer // AIAA Journal. 1991. Vol. 29, no 10. P. 1634–1642. https://doi.org/10.2514/3.10785.
17. Gaponov, S. A. Stability of a supersonic boundary layer with heat supply to a narrow band of the layer // Thermophys. Aeromech. 2021. Vol. 28. P. 327–335. https://doi.org/10.1134/S0869864321030033 (in Russ.)
Review
For citations:
Gaponov S.A. Stability of Supersonic Boundary Layer with Internal Heat Supply and Injection of Homogeneous Gas through a Porous Wall. SIBERIAN JOURNAL OF PHYSICS. 2023;18(2):54-65. (In Russ.) https://doi.org/10.25205/2541-9447-2023-18-2-54-65
Views:
116
Email this article 