Algebraically diverging modes upstream of a swept bluff body

Abstract : Classical stability theory for swept leading-edge boundary layers predicts eigenmodes in the free stream with algebraic decay far from the leading edge. In this article, we extend the classical base flow solution by Hiemenz to a uniformly valid solution for the flow upstream of a bluff body, which includes a three-dimensional boundary layer, an inviscid stagnation-point flow and an outer parallel flow. This extended, uniformly valid base flow additionally supports modes which diverge algebraically outside the boundary layer. The theory of wave packet pseudomodes is employed to derive analytical results for the growth rates and for the eigenvalue spectra of this type of mode. The complete spectral analysis of the flow, including the algebraically diverging modes, will give a more appropriate basis for receptivity studies and will more accurately describe the interaction of perturbations in the free stream with disturbances in the boundary layer. © Cambridge University Press 2011.
Complete list of metadatas

Cited literature [8 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-00994504
Contributor : Denis Roura <>
Submitted on : Thursday, June 5, 2014 - 8:43:47 PM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM
Long-term archiving on : Friday, September 5, 2014 - 10:46:03 AM

File

S0022112011002692a.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

D. Obrist, Peter Schmid. Algebraically diverging modes upstream of a swept bluff body. Journal of Fluid Mechanics, Cambridge University Press (CUP), 2011, 683, pp.346-356. ⟨10.1017/jfm.2011.269⟩. ⟨hal-00994504⟩

Share

Metrics

Record views

228

Files downloads

185