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Experiments on localized secondary instability in bypass boundary layer transition

Published online by Cambridge University Press:  16 March 2017

G. Balamurugan  and
A. C. Mandal Open the ORCID record for A. C. Mandal [Opens in a new window]
G. Balamurugan
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology, Kanpur 208016, India
A. C. Mandal*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology, Kanpur 208016, India
*
†Email address for correspondence: alakeshm@iitk.ac.in
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Abstract

An experimental study on localized secondary instability of unsteady streamwise streaks in bypass boundary layer transition under an elevated level of free-stream turbulence has been carried out mainly using the particle image velocimetry (PIV) technique. Simultaneous orthogonal dual-plane PIV measurements were performed for a concurrent examination of the transitional flow features in both wall-normal and spanwise planes. These quantitative and simultaneous visualizations clearly show the wall-normal view of a low-speed streak undergoing sinuous/varicose motion in the spanwise plane. An oscillating shear layer in the wall-normal plane is found to be associated with the sinuous/varicose streak oscillation in the spanwise plane. Further, these measurements indicate that a localized secondary instability wavepacket can originate near the boundary layer edge. The time-resolved PIV measurements in the wall-normal plane clearly show how an instability develops on a lifted-up inclined shear layer and leads to flow breakdown. The estimated wavelength and convection velocity of such instabilities are found to compare well with those calculated from the one-dimensional linear stability analysis of the spatially averaged velocity profiles associated with the lifted-up shear layers. The time-resolved PIV measurements in the spanwise plane also facilitate quantitative visualizations of sinuous and varicose instabilities. These measurements experimentally confirm that a varicose instability at the juncture of an incoming high-speed streak and a downstream low-speed streak can eventually lead to the formation of lambda structures. The estimated convection velocity, wavelength and growth rate of these instabilities are found to be consistent with the numerical results reported in the literature. Moreover, the streak secondary instability is found to be apparent in the velocity contours, while the estimated streak amplitude is approximately 30 % of the free-stream velocity.

JFM classification

Boundary Layers: Boundary layer receptivity Boundary Layers: Boundary layer stability Instability: Transition to turbulence

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Papers
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Journal of Fluid Mechanics , Volume 817 , 25 April 2017 , pp. 217 - 263
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© 2017 Cambridge University Press 

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