Abstract
Localized and non-localized acoustic receptivity for a Blasius boundary layer is investigated using the adjoint Parabolized Stability Equations. The scattering of an acoustic wave onto a hump, a rectangular roughness or a wall steady blowing and suction is described. Comparisons with local approaches, triple deck theory, direct numerical simulations and experiments are successfully shown. Non-parallel effects are discussed. For comparable parameters, the non-localized receptivity problem produces amplitudes one order of magnitude larger than for the case of localized receptivity.
Similar content being viewed by others
References
Airiau, C. and Casalis, G., Linear stability of the boundary layer using a parabolic system of equations. La Recher. Aérosp. 10 (1993)57–68.
Airiau, C. and Casalis, G., Non linear PSE compared with DNS and experiment. In: Kobayashi, R. (ed.), IUTAM Symposium Laminar-Turbulent Transition, Sendai, Japan. Springer-Verlag, Berlin (1994)pp.85–92.
Andersson, P., Berggren,M. and Henningson, D.S., Optimal disturbances and bypass transition in boundary layers. Phys. Fluids 11(1) (1999)134–150.
Bertolotti, F.P., Herbert, T. and Spalart, P.R., Linear and non linear stability of the Blasius boundary layer. J. Fluid Mech. 242 (1992)441–474.
Bodonyi, R.J., Welch, W.J.C., Duck, P.W. and Tadjfar, M., A numerical study of the interaction between unsteady free-stream disturbances and localized variations in surface geometry. J. Fluid Mech. 209 (1989)285–308.
Casalis, G., Gouttenoire, C. and Troff, B., DNS investigation of leading edge and localized receptivity. Presented at First AFSOR International Conference on DNS and LES, Ruston, LA, U.S.A., August 4–8 (1997)
Casalis, G., Gouttenoire, C. and Troff, B., Localized receptivity of the boundary layer. C.R. Acad. Sci. Paris, Série II b, Fluid Mech. 325 (1997)571–576.
Choudhari, M. and Street, C.L., A finite Reynolds-number approach for the prediction of boundary-layer receptivity in localized regions. Phys. Fluids A4(11) (1992)2495–2514.
Corke, T.C., Bar-Sever, A. and Morkovin, M.V., Experiments on transition enhancement by distributed roughness. Phys. Fluids 29(10) (1986)3199–3213.
Crouch, J.D., Non-localized receptivity of boundary layers. J. FluidMech. 244 (1992)567–581.
Crouch, J.D., Localized receptivity of boundary layers. Phys. Fluids A4(7) (1992)1408–1414.
Crouch, J.D. and Spalart, P.R., A study of non-parallel and non-linear effects on the localized receptivity of boundary layers. J. Fluid Mech. 290 (1995)29–37.
Goldstein, M.E., The evolution of Tollmien-Schlichting waves near the leading edge. J. Fluid Mech. 127 (1983)59–81.
Goldstein, M.E., Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry. J. Fluid Mech. 154 (1985)509–529.
Goldstein, M.E. and Hultgren, L.S., A note on the generation of the T.S. waves by sudden surface-curvature change. J. Fluid Mech. 181 (1987)519–525.
Goldstein, M.E. and Hultgren, L.S., Boundary-layer receptivity to long-wave free-stream disturbances. Ann. Rev. Fluid Mech. 21 (1989)137–166.
Herbert, T.H., Parabolized stability equations. Ann. Rev. Fluid Mech. 29 (1997)245–283.
Hill, D.C., Boundary layer receptivity and control. Annual Research Briefs, Center for Turbulence Research, Stanford University, Stanford, CA (1993).
Hill, D.C., Adjoint system and their role in the receptivity problem for boundary layer. J. Fluid Mech. 292 (1995)183–204.
Hill, D.C., Receptivity in non-parallel boundary layers. Presented at ASME Fluids Engineering Division Summer Meeting, June 22–26, FEDSM97–3108 (1997).
Kerschen, E.K., Boundary layer receptivity theory. Appl. Mech. Rev. 43(5), Part 2 (1990)pp.152–157.
Kobayashi, R., Fukunishi, Y., Nishikawa, T. and Kato, T., The receptivity of flat plate boundary layers with two-dimensional roughness elements to freestream sound and its control. In: Kobayashi, R. (ed.), Proceedings IUTAM Symposium Laminar-Turbulent Transition, Sendai, Japan. Springer-Verlag, Berlin (1994)pp.507–514.
Lessen, M. and Gangwani, S.T., Effect of small amplitude wall waviness upon the stability of the laminar boundary layer. Phys. Fluids 19(4) (1976)510–513.
Luchini, P. and Bottaro, A., Görtler vortices: A backward-in-time approach to the receptivity problem. J. Fluid Mech. 363 (1998)1–23.
Luchini, P., Reynolds-number-independent instability of the boundary layer over a flat surface. Optimal perturbations. J. Fluid Mech. 404 (2000)289–309.
Nishioka, M. and Morkovin, M.V., Boundary-layer receptivity to unsteady pressure gradients: Experiments and overview. J. Fluid Mech. 171 (1986)219–261.
Ruban, A.I., On the generation of Tollmien-Schlichting waves by sound. Fluid Dynam. 19 (1985)709.
Saric, W.S., Physical description of boundary-layer transition: Experimental evidence. AGARD Report R793 (1993)pp.183–204.
Tumin, A.M. and Fedorov, A.V., Instability wave excitation by a localized vibrator in the boundary layer. J. Appl. Mech. Tech. Phys. 25 (1984)867–873.
Tumin, A., Receptivity of pipe Poiseuille flow. J. Fluid Mech. 315 (1996)119–137.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Airiau, C. Non-Parallel Acoustic Receptivity of a Blasius Boundary Layer Using an Adjoint Approach. Flow, Turbulence and Combustion 65, 347–367 (2000). https://doi.org/10.1023/A:1011472831831
Issue Date:
DOI: https://doi.org/10.1023/A:1011472831831