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Scaling of boundary-layer disturbances exposed to free-stream turbulence

Published online by Cambridge University Press:  26 September 2023

Pierre Ricco Open the ORCID record for Pierre Ricco [Opens in a new window]
Pierre Ricco*
Affiliation:
Department of Mechanical Engineering, The University of Sheffield, Mappin Street, S1 3JD Sheffield, UK
*
†Email address for correspondence: p.ricco@sheffield.ac.uk
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Abstract

We present theoretical results related to the experimental findings of Matsubara & Alfredsson (J. Fluid Mech., vol. 430, 2001, pp. 149–168) on the scaling of the energy spectra of the Klebanoff modes, i.e. streamwise-elongated vortical disturbances generated by free-stream turbulence in a flat-plate transitional boundary layer. The scaling is explained by a model that describes the streamwise evolution of the streamwise and spanwise energy spectra. The theoretical framework is based on the quasi-steady asymptotic solution of the boundary-region equations, on an axial-symmetric model of the free-stream spectrum, and on the spectral response of the boundary layer to the external perturbations.

JFM classification

Boundary Layers: Boundary layer receptivity Mathematical Foundations: General fluid mechanics Instability: Shear-flow instability

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 972 , 10 October 2023 , A3
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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