Abstract
This article addresses the direct experimental measurement of Tollmien–Schlichting waves on a flat plate, when the laminar boundary layer is excited by velocity perturbations; the free stream velocity was 16 m/s, the excitation frequency 250 Hz. The two-dimensional velocity field in proximity of the flat plate was captured using a conventional PIV system; however, the image recording was phase locked with the disturbance source and ensemble averaging was used to obtain characteristics of the Tollmien–Schichting waves. In particular, after subtraction of the mean velocity, the characteristics of the excited waves in terms of streamlines were extracted, revealing that the investigated waves represented velocity deviations with an order of magnitude of 1 % of the undisturbed free stream flow. This study is a prelude to the use of the same technique to visualize the effect of dielectric barrier discharge plasma actuators on the suppression of such Tollmien–Schlichting waves, which is difficult using other measurement techniques.
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References
Adrian RJ (1997) Dynamic ranges of velocity and spatial resolution of particle image velocimetry. Meas Sci Technol 8:1393–1398
Bestek H (1980) Numerische Untersuchungen zur nichtlinearen räumlichen Störungsanfachung in der ebenen Poiseuille-Strömung. Dissertation, University Stuttgart
Duchmann A, Reeh A, Quadros R, Kriegseis J, Tropea C (2009) Linear stability analysis for manipulated boundary-layer flows using plasma actuators. IUTAM Bookser 18:153–158
Grundmann S, Tropea C (2009) Experimental damping of boundary-layer oscillations using DBD plasma actuators. Int J Heat Fluid Flow 30:394–402
Lang M, Rist U, Wagner S (2004) Investigations on disturbance amplification in a laminar separation bubble by means of LDA and PIV. Exp Fluids 36:43–52
Reed HL, Saric WS, Arnal D (1996) Linear stability theory applied to boundary-layers. Annu Rev Fluid Mech 28:389–428
Saric WS, Reed HL, Kerschen EJ (2002) Boundary-layer receptivity to freestream disturbances. Annu Rev Fluid Mech 34:291–319
Saric WS, Wei W, Rasmussen BK, Krutckoff TK (1995) Experiments on leading-edge receptivity to sound. 26th AIAA Fluid Dynanics Conference, AIAA-95-2253, San Diego, USA
Saric WS, White EB, Reed HL (1999) Boundary-layer receptivity to freestream disturbances and its role in transition. 30th AIAA Fluid Dynamics Conference, AIAA-99-3788, Norfolk, USA
Schlichting H, Gersten K (2000) Boundary layer theory, 8 edn. Springer, Heidelberg
Tropea C, Yarin AL, Foss JF (2007) Springer handbook of experimental fluid mechanics. Springer, Heidelberg
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Widmann, A., Duchmann, A., Kurz, A. et al. Measuring Tollmien–Schlichting waves using phase-averaged particle image velocimetry. Exp Fluids 53, 707–715 (2012). https://doi.org/10.1007/s00348-012-1315-3
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DOI: https://doi.org/10.1007/s00348-012-1315-3