Abstract
Stability of a supersonic (M ∞ = 5.373) boundary layer with local separation in a compression corner with a passive porous coating partly absorbing flow perturbations is considered by solving two-dimensional Navier-Stokes equations numerically. The second mode of disturbances of a supersonic boundary layer is demonstrated to be the most important one behind the boundary-layer reattachment point. The possibility of effective stabilization of these disturbances behind the reattachment point with the use of porous coatings is confirmed.
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References
S. A. Gaponov and A. A. Maslov, Development of Disturbances in Compressible Flows [in Russian], Nauka, Novosibirsk (1980).
L. M. Mack, “Boundary layer stability theory,” Doc. No. 900-277, Rev. A, Jet Propulsion Laboratory, Pasadena (1969).
J. M. Kendall, “Wind tunnel experiments relating to supersonic and hypersonic boundary layer transition,” AIAA J., 13, 290–299 (1975).
A. Demetriades, “Hypersonic viscous flow over a slender cone. Part 3. Laminar instability and transition,” AIAA Paper No. 74-535 (1974).
K. F. Stetson, E. R. Thompson, J. C. Donaldson, and L. G. Siler, “Laminar boundary layer stability experiments on a cone at Mach 8. Part 1. Sharp cone,” AIAA Paper No. 83-1761 (1983).
N. D. Malmuth, A. V. Fedorov, V. I. Shalaev, et al., “Problems in high speed flow prediction relevant to control,” AIAA Paper No. 98-2695 (1998).
A. V. Fedorov, N. D. Malmuth, A. Rasheed, and H. G. Hornung, “Stabilization of hypersonic boundary layers by porous coatings,” AIAA J., 39, No. 4, 605–610 (2001).
A. Rasheed, H. G. Hornung, A. V. Fedorov, and N. D. Malmuth, “Experiments on passive hypervelocity boundary layer control using a ultrasonically absorptive surface,” AIAA J., 40, No. 3, 481–489 (2002).
V. M. Fomin, A. V. Fedorov, A. N. Shiplyuk, et al., “Stabilization of a hypersonic boundary layer by coatings absorbing ultrasound,” Dokl. Ross. Akad. Nauk, 384, No. 2, 1–5 (2002).
A. Fedorov, A. Shiplyuk, A. Maslov, et al., “Stabilization of a hypersonic boundary layer using an ultrasonically absorptive coating,” J. Fluid Mech., 479, 99–124 (2003).
A. Fedorov, V. Kozlov, A. Shiplyuk, et al., “Stability of hypersonic boundary layer on porous wall with regular microstructure,” AIAA Paper No. 2003-4147 (2003).
X. Zhong, “Leading-edge receptivity to free-stream disturbance waves for hypersonic flow over parabola,” J. Fluid Mech., 441, 315–367 (2001).
I. V. Egorov, V. G. Sudakov, and A. V. Fedorov, “Numerical simulation of propagation of disturbances in a supersonic boundary layer,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 33–44 (2004).
P. Balakumar, H. Zhao, and H. Atkins, “Stability of hypersonic boundary-layers over a compression corner,” AIAA Paper No. 2002-2848 (2002).
S. A. Gaponov, “Effect of gas compressibility on the stability of a boundary layer above a permeable surface at subsonic velocities,” J. Appl. Mech. Tech. Phys., 16, No. 1, 95–98 (1975).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 39–47, March–April, 2007.
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Egorov, I.V., Novikov, A.V. & Fedorov, A.V. Numerical simulation of stabilization of the boundary layer on a surface with a porous coating in a supersonic separated flow. J Appl Mech Tech Phys 48, 176–183 (2007). https://doi.org/10.1007/s10808-007-0023-x
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DOI: https://doi.org/10.1007/s10808-007-0023-x