Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-18T19:46:02.161Z Has data issue: false hasContentIssue false

Transition in boundary layers subject to free-stream turbulence

Published online by Cambridge University Press:  11 October 2004

LUCA BRANDT
Affiliation:
KTH Mechanics, S-100 44 Stockholm, Sweden
PHILIPP SCHLATTER
Affiliation:
Institute of Fluid Dynamics, Swiss Federal Institute of Technology (ETH), CH-8092 Zürich, Switzerland
DAN S. HENNINGSON
Affiliation:
KTH Mechanics, S-100 44 Stockholm, Sweden FOI, The Swedish Defense Research Agency, Aeronautics Division, SE-17290 Stockholm, Sweden

Abstract

The effect of high levels of free-stream turbulence on the transition in a Blasius boundary layer is studied by means of direct numerical simulations, where a synthetic turbulent inflow is obtained as superposition of modes of the continuous spectrum of the Orr–Sommerfeld and Squire operators. In the present bypass scenario the flow in the boundary layer develops streamwise elongated regions of high and low streamwise velocity and it is suggested that the breakdown into turbulent spots is related to local instabilities of the strong shear layers associated with these streaks. Flow structures typical of the spot precursors are presented and these show important similarities with the flow structures observed in previous studies on the secondary instability and breakdown of steady symmetric streaks.

Numerical experiments are performed by varying the energy spectrum of the incoming perturbation. It is shown that the transition location moves to lower Reynolds numbers by increasing the integral length scale of the free-stream turbulence. The receptivity to free-stream turbulence is also analysed and it is found that two distinct physical mechanisms are active depending on the energy content of the external disturbance. If low-frequency modes diffuse into the boundary layer, presumably at the leading edge, the streaks are induced by streamwise vorticity through the linear lift-up effect. If, conversely, the free-stream perturbations are mainly located above the boundary layer a nonlinear process is needed to create streamwise vortices inside the shear layer. The relevance of the two mechanisms is discussed.

Type
Papers
Copyright
© 2004 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.)