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Hypersonic viscous interaction with strong blowing

Published online by Cambridge University Press:  26 April 2006

A. F. Messiter  and
M. D. Matarrese
A. F. Messiter
Affiliation:
Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, USA
M. D. Matarrese
Affiliation:
Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140, USA
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Abstract

Solutions are obtained for hypersonic viscous interaction along a flat plate in the presence of strong boundary-layer blowing, with inverse-square-root injection velocity, for laminar flow over a cold wall and with a power-law viscosity–temperature relation. In the strong-interaction region, self-similarity is preserved if the blowing is such that the thicknesses of the inviscid shock layer, viscous shear layer, and inviscid blown layer all have the same order of magnitude. The weak-interaction region is also considered, and an approximate interpolation is used to join the solutions for the surface pressure. Certain difficulties in asymptotic matching are discussed, and the extension to flow past a thin wedge is shown.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 291 - 311
Copyright
© 1990 Cambridge University Press

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References

Brown, S. N. & Stewartson, K., 1975 A nonuniqueness of the hypersonic boundary layer. Q. J. Mech. Appl. Maths 28, 75–90.Google Scholar
Bush, W. B.: 1966 Hypersonic strong-interaction similarity solutions for flow past a flat plate. J. Fluid Mech. 25, 51–64.Google Scholar
Chernyi, G. G.: 1961 Introduction to Hypersonic Flow. Academic.
Cole, J. D. & Aroesty, J., 1968 The blowhard problem – inviscid flows with surface injection. Intl J. Heat Mass Transfer 11, 1167–1183.Google Scholar
Hayes, W. D. & Probstein, R. F., 1959 Hypersonic Flow Theory. Academic.
Kassoy, D. R.: 1971 On laminar boundary-layer blowoff. Part 2. J. Fluid Mech. 48, 209–228.Google Scholar
Klemp, J. B. & Acrivos, A., 1972 High Reynolds number flow past a flat plate with strong blowing. J. Fluid Mech. 51, 337–356.Google Scholar
Kubota, T. & Fernandez, F. L., 1968 Boundary-layer flows with large injection and heat transfer. AIAA J. 6, 22–28.Google Scholar
Lee, R. S. & Cheng, H. K., 1969 On the outer-edge problem of a hypersonic boundary layer. J. Fluid Mech. 38, 161–179.Google Scholar
Li, T.-Y. & Gross, J. F. 1961 Hypersonic strong viscous interaction on a flat plate with surface mass transfer. Proc. 1961 Heat Transfer & Fluid Mech. Inst., pp. 146–160.Google Scholar
Matarrese, M. D. & Messiter, A. F., 1990 A numerical method for the self-similar hypersonic viscous shear layer. J. Comp. Phys. (submitted).Google Scholar
Matarrese, M. D., Messiter, A. F. & Adamson, T. C., Jr. 1990 Control of hypersonic aerodynamic forces with surface blowing. AIAA Paper 90–0602.Google Scholar
Smith, F. T. & Stewartson, K., 1973a On slot injection into a supersonic laminar boundary layer. Proc. R. Soc. Lond. A 332, 1–22.Google Scholar
Smith, F. T. & Stewartson, K., 1973b Plate-injection into a separated supersonic boundary layer. J. Fluid Mech. 58, 143–159.Google Scholar
Stewartson, K.: 1964 The Theory of Laminar Boundary Layers in Compressible Fluids. Oxford University Press.
Van Dyke, M. D. 1954 A study of hypersonic small-disturbance theory. NACA Rep. 1194 (supersedes TN 3173, 1954).Google Scholar
Wallace, J. & Kemp, N., 1969 Similarity solutions to the massive blowing problem. AIAA J. 7, 1517–1523.Google Scholar