Hostname: page-component-7dd5485656-bt4hw Total loading time: 0 Render date: 2025-10-31T17:29:41.083Z Has data issue: false hasContentIssue false
  • English
  • Français

Receptivity of a hypersonic boundary layer over a flat plate with a porous coating

Published online by Cambridge University Press:  25 April 2008

I. V. EGOROV ,
A. V. FEDOROV  and
V. G. SOUDAKOV
I. V. EGOROV
Affiliation:
Department of Aeromechanics and Flight Engineering, Moscow Institute of Physics and Technology, Zhukovsky, 140180, Russia
A. V. FEDOROV
Affiliation:
Department of Aeromechanics and Flight Engineering, Moscow Institute of Physics and Technology, Zhukovsky, 140180, Russia
V. G. SOUDAKOV
Affiliation:
Department of Aeromechanics and Flight Engineering, Moscow Institute of Physics and Technology, Zhukovsky, 140180, Russia
Get access Rights & Permissions [Opens in a new window]

Abstract

Two-dimensional direct numerical simulation (DNS) of receptivity to acoustic disturbances radiating onto a flat plate with a sharp leading edge in the Mach 6 free stream is carried out. Numerical data obtained for fast and slow acoustic waves of zero angle of incidence are consistent with the asymptotic theory. Numerical experiments with acoustic waves of non-zero angles of incidence reveal new features of the disturbance field near the plate leading edge. The shock wave, which is formed near the leading edge owing to viscous–inviscid interaction, produces a profound effect on the acoustic near field and excitation of boundary-layer modes. DNS of the porous coating effect on stability and receptivity of the hypersonic boundary layer is carried out. A porous coating of regular porosity (equally spaced cylindrical blind micro-holes) effectively diminishes the second-mode growth rate in accordance with the predictions of linear stability theory, while weakly affecting acoustic waves. The coating end effects, associated with junctures between solid and porous surfaces, are investigated.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 601 , 25 April 2008 , pp. 165 - 187
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

Balakumar, P., Zhao, H. & Atkins, H. 2002 Stability of hypersonic boundary-layer over a compression corner. AIAA Paper 2002-2848.Google Scholar
Bountin, D. A., Shiplyuk, A. N., Maslov, A. A. & Chokani, N. 2004 Nonlinear aspects of hypersonic boundary layer stability on a porous surface. AIAA Paper 2004-0255.CrossRefGoogle Scholar
Demetriades, A. 1974 Hypersonic viscous flow over a slender cone, part III: Laminar instability and transition. AIAA Paper 74-535.Google Scholar
Djakov, S. P. 1957 Interaction of shocks with small disturbances. Sov. Phys. J. Exp. Theor. Phys. 33, 948–961 (in Russian).Google Scholar
Egorov, I. V., Fedorov, A. V. & Nechaev, A. V. 2004 Receptivity of supersonic boundary layer on a blunt plate to acoustic disturbances. AIAA Paper 2004-249.CrossRefGoogle Scholar
Egorov, I. V., Fedorov, A. V. & Soudakov, V. G. 2006 Direct numerical simulation of disturbances generated by periodic suction-blowing in a hypersonic boundary layer. Theoret. Comput. Fluid Dyn. 20 (1), 41–54.CrossRefGoogle Scholar
Fedorov, A. V. 2003 Receptivity of a high-speed boundary layer to acoustic disturbances. J. Fluid Mech. 491, 101–129.Google Scholar
Fedorov, A. V. & Khokhlov, A. P. 1991 Excitation of unstable modes in supersonic boundary layer by acoustic waves. Fluid Dyn. 9, 456–467.Google Scholar
Fedorov, A. V. & Khokhlov, A. P. 1993 Excitation and evolution of unstable disturbances in supersonic boundary layer. In Proc. ASME Fluid Engng Conf. FED. 151, 1–13.Google Scholar
Fedorov, A. V. & Khokhlov, A. P. 2001 Prehistory of instability in a hypersonic boundary layer. Theoret. Comput. Fluid Dyn. 14 (6), 359–375.CrossRefGoogle Scholar
Fedorov, A. V., Malmuth, N. D., Rasheed, A. & Hornung, H. G. 2001 Stabilization of hypersonic boundary layers by porous coatings. AIAA J. 39, 605–610.Google Scholar
Fedorov, A. V., Kozlov, V. F., Shiplyuk, A. N., Maslov, A. A., Sidorenko, A. A., Burov, E. V. & Malmuth, N. D. 2003 a Stability of hypersonic boundary layer on porous wall with regular microstructure. AIAA Paper 2003-4147.Google Scholar
Fedorov, A. V., Shiplyuk, A. N., Maslov, A. A., Burov, E. V. & Malmuth, N. D. 2003 b Stabilization of a hypersonic boundary layer using an ultrasonically absorptive coating. J. Fluid Mech. 479, 99–124.CrossRefGoogle Scholar
Forgoston, E. & Tumin, A. 2005 Initial-value problem for three-dimensional disturbances in a compressible boundary layer. Phys. Fluids 17 (8), 084106.Google Scholar
Gaponov, S. A. & Maslov, A. A. 1980 Disturbances Evolution in the Compressible Flows. Nauka, Novosibirsk. (in Russian).Google Scholar
Guschin, V. R. & Fedorov, A. V. 1989 Short-wave instability in a perfect-gas shock layer. Fluid Dyn. 24, 7–10.CrossRefGoogle Scholar
Kendall, J. M. 1975 Wind tunnel experiments relating to supersonic and hypersonic boundary layer transition. AIAA J. 13, 290–299.CrossRefGoogle Scholar
Kimmel, R. 2003 Aspects of hypersonic boundary layer transition control. AIAA Paper 2003-0772.CrossRefGoogle Scholar
Laufer, J. 1964 Some statistical properties of the pressure field radiated by a turbulent boundary layer. Phys. Fluids 7 (8), 1191–1197.CrossRefGoogle Scholar
Ma, Y. & Zhong, X. 2001 Numerical simulation of receptivity and stability of nonequilibrium reacting hypersonic boundary layers. AIAA Paper 2001-0892.CrossRefGoogle Scholar
Ma, Y. & Zhong, X. 2003 a Receptivity of a supersonic boundary layer over a flat plate. Part 1. Wave structures and interactions. J. Fluid. Mech. 488, 31–78.CrossRefGoogle Scholar
Ma, Y. & Zhong, X. 2003 b Receptivity of a supersonic boundary layer over a flat plate. Part 2. Receptivity to free-stream sound. J. Fluid. Mech. 488, 79–121.CrossRefGoogle Scholar
Mack, L. M. 1969 Boundary layer stability theory. Part B. Doc. 900-277. JPL, Pasadena, California.Google Scholar
Mack, L. M. 1975 Linear stability theory and the problem of supersonic boundary layer transition. AIAA J. 13, 278–289.CrossRefGoogle Scholar
McKenzie, J. F. & Westphal, K. O. 1968 Interaction of linear waves with oblique shock waves. Phys. Fluids 11 (11), 2350–2362.CrossRefGoogle Scholar
Malik, M. R. 1989 Prediction and control of transition in supersonic and hypersonic boundary layers. AIAA J. 27, 1487–1493.CrossRefGoogle Scholar
Malik, M. R. 1997 Boundary-layer transition prediction toolkit. AIAA Paper 97-1904.Google Scholar
Malik, M. R., Zang, T. & Bushnell, D. 1990 Boundary layer transition in hypersonic flows. AIAA Paper 90-5232.Google Scholar
Malmuth, N. D., Fedorov, A. V., Shalaev, V. I., Cole, J., Khokhlov, A. P., Hites, M. & Williams, D. 1998 Problems in high speed flow prediction relevant to control. AIAA Paper 98-2695.CrossRefGoogle Scholar
Maslov, A. A., Shiplyuk, A. N., Sidorenko, A. & Arnal, D. 2001 Leading-edge receptivity of a hypersonic boundary layer on a flat plate. J. Fluid Mech. 426, 73–94.CrossRefGoogle Scholar
Maslov, A., Shiplyuk, A., Sidorenko, A., Polivanov, P., Fedorov, A., Kozlov, V., & Malmuth, N. 2006 Hypersonic laminar flow control using a porous coating of random microstructure. AIAA Paper 2006-1112.CrossRefGoogle Scholar
Morkovin, M. V. 1969 Critical evaluation of transition from laminar to turbulent shear layers with emphasis on hypersonic traveling bodies. AFRL Rep AFFDL-TR-68-149. Air Force Flight Dynamics Laboratory, Wright-Patterson AFB, OH, USA.Google Scholar
Rasheed, A., Hornung, H. G., Fedorov, A. V. & Malmuth, N. D. 2002 Experiments on passive hypervelocity boundary layer control using an ultrasonically absorptive surface. AIAA J. 40, 481–489.CrossRefGoogle Scholar
Reed, H. L., Kimmel, R., Schneider, S. & Arnal, D. 1997 Drag prediction and transition in hypersonic flow. AIAA Paper 97-1818.Google Scholar
Reshotko, E. 1976 Boundary-layer stability and transition. Annu. Rev. Fluid Mech. 8, 311–349.CrossRefGoogle Scholar
Stetson, K. F., Kimmel, R., Thompson, E. R., Donaldson, J. C. & Siler, L. G. 1991 A comparison of a planar and conical boundary layer stability and transition at Mach number of 8. AIAA Paper 91-1639.CrossRefGoogle Scholar
Zhong, X. 2001 Leading-edge receptivity to free-stream disturbance waves for hypersonic flow over parabola. J. Fluid. Mech. 441, 315–367.CrossRefGoogle Scholar