Research ArticleOpen AccessGoogle Scholar indexed
Disturbances Propagation in Supersonic Boundary Layers
Theoretical Department, Central Aerohydrodynamic Institute, Zhukovsky, Moscow Region, Russia
Department of Aeronautics, Moscow Institute of Physics and Techology, Zhukovsky, Moscow Region, Russia
- 1 Theoretical Department, Central Aerohydrodynamic Institute, Zhukovsky, Moscow Region, Russia
- 2 Department of Aeronautics, Moscow Institute of Physics and Techology, Zhukovsky, Moscow Region, Russia
Advances in Pure Mathematics·Volume 04 (2014)·Pages 635–640·Published 18 December 2014·DOI10.4236/apm.2014.412072
Copy link · social · email
Abstract
Disturbances propagation processes are investigated in two-dimensional boundary layers for the case of strong viscous-inviscid interaction. The speed of upstream disturbances propagation as a function of specific heat ratio and Prandtl number is determined. Formula for speed propagation is developed on the basis of characteristics and subcharacteristics analysis corresponding to the gasdynamic wave processes and processes of convection and diffusion.
KeywordsBoundary LayerStrong Viscous-Inviscid InteractionWaves PropagationAsymptotic Analysis
- Wang, K.C. (1971) On the Determination of the Zones of Influence and Dependence for Three-Dimensional Boudary-Layer Equations. Journal of Fluid Mechanics, 48, 397-404. http://dx.doi.org/10.1017/S0022112071001642
- Wang, K.C. (1975) Aspects of “Multitime Initial-Value Problem” Originating from Boundary Layer Equations. Physics of Fluids, 18, 951-955. http://dx.doi.org/10.1063/1.861267
- Lighthill, M.J. (1953) On Boundary Layers and Upstream Influence. Proceedings of the Royal Society of London, Series A, 217, 476-507. http://dx.doi.org/10.1098/rspa.1953.0075
- Neyland, V.Ya. (1969) To the Laminar Boundary Layer Separation in Supersonic Flow Theory. Izvestija Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, 4, 53-62. (in Russian).
- Stewartson, K. and Williams, P.G. (1969) Self-Induced Separation. Proceedings of the Royal Society of London, Series A, 312, 181-206. http://dx.doi.org/10.1098/rspa.1969.0148
- Neyland, V.Ya. (1974) To the Interaction Theory for 2D and 3D Flows in Boundary Layers. Uchenye Zapiski TsAGI, 5, 28-39. (In Russian).
- Smith, F.T. (1982) On the High Reynolds Number Theory of Laminar Flows. IMA Journal of Applied Mathematics, 28, 207-281. http://dx.doi.org/10.1093/imamat/28.3.207
- Crocco, L. (1955) Consideration on the Shock-Boundary Layer Interactions. Proceedings of Conference of the High Speed Aeronautics, Brooklin Polytechn. Inst., New York, 75-112.
- Hayes, U.D. and Probstein, R.F. (1969) Hypersonic Flows Theory. Academic Press.
- Chapman, D.R., Kuehn, D. and Larson, H. (1958) Investigation of Separated Flows with Emphasis on the Effect of Transition. NACA Reports, N. 1356.
- Pearson, H., Holliday, J.B. and Smith, S.F. (1958) A Theory of the Cylindrical Ejector Propelling Nozzle. Journal of the Royal Aeronautical Society, 62, 746-751.