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On the stability of a Blasius boundary layer subject to localised suction

Published online by Cambridge University Press:  24 May 2019

Mattias Brynjell-Rahkola Open the ORCID record for Mattias Brynjell-Rahkola [Opens in a new window] ,
Ardeshir Hanifi Open the ORCID record for Ardeshir Hanifi [Opens in a new window]  and
Dan S. Henningson
Mattias Brynjell-Rahkola*
Affiliation:
KTH Royal Institute of Technology, Linné FLOW Centre and Swedish e-Science Research Centre (SeRC), Department of Mechanics, SE-100 44 Stockholm, Sweden
Ardeshir Hanifi
Affiliation:
KTH Royal Institute of Technology, Linné FLOW Centre and Swedish e-Science Research Centre (SeRC), Department of Mechanics, SE-100 44 Stockholm, Sweden
Dan S. Henningson
Affiliation:
KTH Royal Institute of Technology, Linné FLOW Centre and Swedish e-Science Research Centre (SeRC), Department of Mechanics, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

In this study the origins of premature transition due to oversuction in boundary layers are studied. An infinite row of circular suction pipes that are mounted at right angles to a flat plate subject to a Blasius boundary layer is considered. The interaction between the flow originating from neighbouring holes is weak and for the parameters investigated, the pipe is always found to be unsteady regardless of the state of the flow in the boundary layer. A stability analysis reveals that the appearance of boundary layer transition can be associated with a linear instability in the form of two unstable eigenmodes inside the pipe that have weak tails, which extend into the boundary layer. Through an energy budget and a structural sensitivity analysis, the origin of this flow instability is traced to the structures developing inside the pipe near the pipe junction. Although the amplitudes of the modes in the boundary layer are orders of magnitude smaller than the corresponding amplitudes inside the pipe, a Koopman analysis of the data gathered from a nonlinear direct numerical simulation confirms that it is precisely these disturbances that are responsible for transition to turbulence in the boundary layer due to oversuction.

JFM classification

Boundary Layers: Boundary layer stability Instability: Transition to turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 871 , 25 July 2019 , pp. 717 - 741
Copyright
© 2019 Cambridge University Press 

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