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PreprintCC BY 4.0arXiv

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

Abstract

We present theoretical results related to the experimental findings of Matsubara and Alfredsson (2001) 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.

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BibTeX
@misc{ricco2026scaling,
  title = {{Scaling of boundary-layer disturbances exposed to free-stream turbulence}},
  author = {Pierre Ricco},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00740},
  eprint = {2609.00740},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00740},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Scaling of boundary-layer disturbances exposed to free-stream turbulence
AU  - Pierre Ricco
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00740
UR  - https://arxiv.org/abs/2609.00740
AB  - We present theoretical results related to the experimental findings of Matsubara and Alfredsson (2001) 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.
ER  -