Abstract

Abstract

Highlights

  • Today, we cannot honestly say that we are capable of accurately predicting the transition location in a boundary layer subject to free-stream turbulence (FST)

  • ReΛ–turbulence intensity (Tu) plane, with contour lines corresponding to ReFST = 100:100:700, from left to right. (b) ReΛ–ReFST plane, with contour lines corresponding to Tu = 0.01:0.01:0.07, from left to right

  • Correlation function exists that includes the effect of Free-stream turbulence (FST) length scales on transition in a physically correct way

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Summary

Introduction

We cannot honestly say that we are capable of accurately predicting the transition location in a boundary layer subject to free-stream turbulence (FST). Arnal & Juillen (1978) had long before this review article reported boundary-layer disturbance growth in the streamwise direction of several per cent of the free-stream velocity before the breakdown to turbulence occurred Their measurements showed that the maximum disturbance inside the boundary layer was around the middle of the boundary layer, i.e. much further away from the wall (more than 2.5 times) with respect to the inner peak of the wall-normal T–S wave disturbance profile. In the present brief review we have to mention the work by Jacobs & Durbin (2001), who performed a DNS of FST induced transition but presents an alternative breakdown process They found boundary-layer streaks, generated nonlinearly by the penetration of FST, with a spacing that was in agreement with the results by Andersson et al (1999), Luchini (2000). From here their results differ, the primary disturbance is, for instance, reported to originate from streamwise vorticity through vortex stretching around the leading edge by Nagarajan et al (2007), while it is reported to originate from spanwise vorticity by Ovchinnikov et al (2008)

Effect of FST integral length scale on the transition
Spanwise length scale of the boundary-layer streaks
Experimental set-up and procedures
Experimental facility and measurement technique
Zero-pressure gradient boundary-layer base flow
Free-stream turbulence conditions
Method of transition location determination
Boundary-layer streaks and laminar-turbulent transition
Transition region and location
Streamwise streaks inside the boundary layer
A semi-empirical transition prediction model
Scale-matching model
The equation for the transitional Reynolds number
Validation of the model
Findings
Conclusion

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