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Abstracts - KTH Mechanics

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72<br />

Experimental study on the boundary layer transition induced<br />

by a shallow 3D roughness element<br />

I. B. de Paula ∗† ,M.A.F.deMedeiros ∗ ,W.Würz † , M. T. Mendonça ‡<br />

The influence of shallow 3-D roughness element on the evolution of a 2-D Tollmien-<br />

Schlichting wave was studied experimentally. The current measurements were carried<br />

out in a Blasius boundary layer. The cylindrical roughness element used was oscillated<br />

slowly as a quasi-steady disturbance. Therefore, the hot wire signal could be ensemble<br />

averaged in order to reduce the experimental noise. In the present work the 2-D<br />

wave was excited artificially with 2 different amplitudes. These amplitudes were<br />

selected according with numerical simulations provided by a PSE code. Thus, it<br />

was possible to select previously the bandwidth of oblique waves amplified by the<br />

fundamental resonance mechanism. Using this approach was possible to check how<br />

shallow roughness elements can affect the boundary layer transition. For roughness<br />

heights below 0.25δ ∗ , the bandwidth of amplified oblique waves observed downstream<br />

was in good agreement with the one predicted by secondary instability theory. For<br />

roughness higher than 0.25δ ∗ the distribution of oblique modes amplitudes and growth<br />

started to deviate significantly from prediction. The results show that the value of<br />

critical roughness height which can affect the boundary layer transition is dependent<br />

of the threshold for self sustained k-type transition. These observations suggests that<br />

critical roughness height which can affect the boundary layer transition is dependent<br />

not only of the boundary layer thickness but also of TS wave amplitude.<br />

Figures (a) and (b) show the comparison between theoretical and experimental<br />

normalized amplitude distribution of oblique modes. The comparison was made considering<br />

the amplitudes 105mm downstream the roughness. In figure (a) the TS<br />

amplitude at the roughness was adjusted to 0.45% and in figure (b) to 0.75%. This<br />

project was supported by CAPES and FAPESP from Brazil.<br />

A3D/A3D MAX<br />

∗ Universidade de São Paulo - EESC, São Carlos, Brazil<br />

† Universität Stuttgart - Institute für Aerodynamik und Gasdynamik IAG, Germany<br />

‡ Instituto Técnico Aeroespacial ITA - IAE, São José dos Campos, Brazil<br />

0.6<br />

0<br />

0.6<br />

0<br />

0.6<br />

0<br />

0.6<br />

0<br />

0.6<br />

PSE<br />

o EXP<br />

0<br />

0 0.05 0.1 0.15 0.2<br />

β [1/mm]<br />

0.25 0.3 0.35<br />

31<br />

25<br />

18<br />

12<br />

5<br />

H/δ * [%]<br />

A3D/A3D MAX<br />

0.6<br />

0<br />

0.6<br />

0<br />

0.6<br />

0<br />

0.6<br />

0<br />

0.6<br />

0<br />

0 0.05 0.1 0.15 0.2<br />

β [1/mm]<br />

0.25 0.3 0.35<br />

PSE<br />

o EXP<br />

31<br />

25<br />

18<br />

12<br />

5<br />

H/δ * [%]

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