Abstract
We consider the flow in the vicinity of the leading edge of a parabolic profile in swept supersonic flow. In terms of the attachment-line instability, which is expected at the leading edge, the sweep-Reynolds number is above Re = 642, the sweep-Mach number is M = 1.25, and the ratio of nose radius to viscous length scale is R/δ ≈ 400. The wall is adiabatic. The parameters are chosen such that we could expect exponential disturbance growth of the leading edge instability for incompressible, flat-plate flow. No precise information about the formation of the attachment–line instability in the compressible, curved-surface case is known.
The response of the boundary layer due to random perturbations in the stagnation region as well as entropy disturbances ahead of the shock is investigated numerically. In sequel, both the leading edge instability and a crossflow instability are excited. In the present configuration the crossflow instability clearly dominates.
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References
Fabre, David, Jacquin, Laurent, and Sesterhenn, Jörn (2001). Linear interaction of a cylindrical entropy spot with a shock. Physics of Fluids.
Hall, P., Malik, M., and Poll, D.I. (1984). On the stability of an infinite swept attachment–line boundary layer. Proc. R. Soc. Lond., A(395): 229–245.
Le Duc, Anne, Sesterhenn, Jörn, and Friedrich, Rainer (2002). Direct numerical simulation of instabilities of the compressible swept Hiemenez flow. In Dussauge, J.P. and Chikhaoui, A., editors, Aerodynamics and Termochemistry of High Speed Flow.
Lin, Ray-Sing and Malik, Mujeeb R. (1997). On the stability of attachment–line boundary layers. part 2. the effect of leading edge curvature. J. Fluid Mech, 333: 125–137.
Obrist, Dominik and Schmid, Peter (2003). On the linear stability of swept attachment-line boundary layer flow. Part 1. Spectrum and asymptotic behaviour. Journal of Fluid Mechanics.
Poll, D.I.A. (1979). Transition in the infinite swept attachment–line boundary layer. Aeronautical Quarterly, 30: 607–628.
Schwertfirm, Florian (2002). DNS von Instabilitäten in der dreidimensionalen kompressiblen Strömung entlang der Vorderkante eines gepfeilten Tragflügels. Master’s thesis, TU-München, Fachgebiet Strömungsmechanik.
Sesterhenn, Jörn (2001). A characteristic–type formulation of the Navier–Stokes equations for high order upwind schemes. Computers & Fluids, 30 (1): 37–67.
Spalart, P.R. (1988). Direct numerical study of leading edge contamination. Technical Report CP-438, Fluid Dyn. of 3D Turb. Shear Flows and Transition, AGARD.
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Sesterhenn, J., Friedrich, R. (2004). Crossflow Vortices Near the Attachment Line of a Swept Airfoil at M = 8. In: Friedrich, R., Geurts, B.J., Métais, O. (eds) Direct and Large-Eddy Simulation V. ERCOFTAC Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2313-2_26
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DOI: https://doi.org/10.1007/978-1-4020-2313-2_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6575-9
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