Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-06-03T16:23:10.590Z Has data issue: false hasContentIssue false
  • English
  • Français

A study of non-parallel and nonlinear effects on the localized receptivity of boundary layers

Published online by Cambridge University Press:  26 April 2006

J. D. Crouch  and
P. R. Spalart
Get access Rights & Permissions [Opens in a new window]

Abstract

The acoustic receptivity due to localized surface suction in a two-dimensional boundary layer is studied using a finite-Reynolds-number theory and direct numerical simulation of the Navier-Stokes equations. Detailed comparisons between the two methods are used to determine the bounds for application of the theory. Results show a 4% difference between the methods for receptivity in the neighbourhood of branch I with low suction levels, low acoustic levels, and a moderate frequency; we attribute this difference to non-parallel effects, not included in the theory. The difference is larger for receptivity upstream of branch I, and smaller for receptivity downstream of branch I. As the peak suction level is increased to 1% of the free-stream velocity, the simulations show a nonlinear deviation from the theory. Suction levels as small as 0.1% are shown to have a significant effect on the instability growth between branch I and branch II. Increasing the acoustic amplitude to 1% of the steady free-stream velocity produces no significant nonlinear effect.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 290 , 10 May 1995 , pp. 29 - 37
Copyright
© 1995 Cambridge University Press

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.)

References

Bertolotti, F. P., Herbert, Th. & Spalart, P. R. 1992 Linear and nonlinear stability of the Blasius boundary layer. J. Fluid Mech. 242, 441.Google Scholar
Bodonyi, R. J. & Duck, P. W. 1992 Boundary-layer receptivity due to a wall suction control ofTollmien-Schlichting waves. Phys. Fluids, A 4, 1206.Google Scholar
Bodonyi, R. J., Welch, W. J. C., Duck, P. W. & Tadjfar, M. 1989 A numerical study of the interaction between unsteady free-stream disturbances and localized variations in surface geometry. J. Fluid Mech. 209, 285.Google Scholar
Choudhari, M. & Streett, C. L. 1992 A finite Reynolds number approach for the prediction of boundary layer receptivity in localized regions. Phys. Fluids, A 4, 2495.Google Scholar
Crouch, J. D. 1992 Localized receptivity of boundary layers. Phys. Fluids, A 4, 1408.Google Scholar
Crouch, J. D. 1993 Receptivity of three-dimensional boundary layers. AIAA Paper 93-0074.
Goldstein, M. E. 1985 Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometry. J. Fluid Mech. 154, 509.Google Scholar
Goldstein, M. E. & Hultgren, L. S. 1989 Boundary-layer receptivity to long-wave free-stream disturbances. Ann. Rev. Fluid Mech. 21, 137.Google Scholar
Heinrich, R. A., Choudhari, M. & Kerschen, E. J. 1988 A comparison of boundary layer receptivity mechanisms. AIAA Paper 88-3758.
Herbert, Th. & Lin, N. 1993 Studies of boundary-layer receptivity with parabolized stability equations. AIAA Paper 93-3053.
Hill, D. C. 1993 Adjoint systems and their role in the receptivity problem for boundary layers. CTR Manuscript 146. Stanford.
Kerschen, E. J. 1989 Boundary layer receptivity. AIAA Paper 89-1109.
Ruban, A. I. 1985 On the generation of Tollmien-Schlichting waves by sound. Fluid Dyn. 19, 709.Google Scholar
Saric, W. S., Hoos, J. A. & Radeztsky, R. H. 1991 Boundary-layer receptivity of sound with roughness. In Boundary Layer Stability and Transition to Turbulence. FED-Vol. 114, pp. 17–22. ASME.
Spalart, P. R. 1993 Numerical study of transition induced by suction devices. In Near-Wall Turbulent Flows, pp. 849–858. Elsevier.
Spalart, P. R., Moser, R. D. & Rogers, M. M. 1991 Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions. J. Comput. Phys. 96, 297.Google Scholar
Spalart, P. R. & Watmuff, J. H. 1993 Experimental and numerical study of a turbulent boundary layer with pressure gradients. J. Fluid Mech. 249, 337 (referred to herein as SW).Google Scholar
Zhigulev, V. N. & Fedorov, A. V. 1987 Boundary-layer receptivity to acoustic disturbances. J. Appl. Mech. Tech. Phys. 28, 28.Google Scholar