Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence

Fu Lin; Mihailo R. Jovanović

doi:10.1109/ACC.2008.4586964

Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence

Fu Lin, Mihailo R. Jovanović

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

We perform an input-output analysis of transition in boundary layers subject to free-stream turbulence, which is modeled as a stochastic excitation to the Navier-Stokes equations linearized around a parallel Blasius base flow. The second order statistics of this excitation are determined by modeling energy spectrum of the homogeneous isotropic turbulence using the linearized Navier-Stokes equations. Our variance-amplification analysis identifies the nearplate streamwise streaks as the most energetic flow structures and theoretically predicts prevailing length-scales. The results of our analysis are in good agreement with the experimental and numerical studies of the free-stream-turbulence-induced boundary layer transition.

Original language	English (US)
Title of host publication	2008 American Control Conference, ACC
Pages	3070-3075
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2008.4586964
State	Published - 2008
Event	2008 American Control Conference, ACC - Seattle, WA, United States Duration: Jun 11 2008 → Jun 13 2008

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2008 American Control Conference, ACC
Country/Territory	United States
City	Seattle, WA
Period	6/11/08 → 6/13/08

Keywords

Boundary layers
Energy amplification
Freestream turbulence
Navier-Stokes equations

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title = "Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence",

abstract = "We perform an input-output analysis of transition in boundary layers subject to free-stream turbulence, which is modeled as a stochastic excitation to the Navier-Stokes equations linearized around a parallel Blasius base flow. The second order statistics of this excitation are determined by modeling energy spectrum of the homogeneous isotropic turbulence using the linearized Navier-Stokes equations. Our variance-amplification analysis identifies the nearplate streamwise streaks as the most energetic flow structures and theoretically predicts prevailing length-scales. The results of our analysis are in good agreement with the experimental and numerical studies of the free-stream-turbulence-induced boundary layer transition.",

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language = "English (US)",

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AU - Lin, Fu

AU - Jovanović, Mihailo R.

PY - 2008

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N2 - We perform an input-output analysis of transition in boundary layers subject to free-stream turbulence, which is modeled as a stochastic excitation to the Navier-Stokes equations linearized around a parallel Blasius base flow. The second order statistics of this excitation are determined by modeling energy spectrum of the homogeneous isotropic turbulence using the linearized Navier-Stokes equations. Our variance-amplification analysis identifies the nearplate streamwise streaks as the most energetic flow structures and theoretically predicts prevailing length-scales. The results of our analysis are in good agreement with the experimental and numerical studies of the free-stream-turbulence-induced boundary layer transition.

AB - We perform an input-output analysis of transition in boundary layers subject to free-stream turbulence, which is modeled as a stochastic excitation to the Navier-Stokes equations linearized around a parallel Blasius base flow. The second order statistics of this excitation are determined by modeling energy spectrum of the homogeneous isotropic turbulence using the linearized Navier-Stokes equations. Our variance-amplification analysis identifies the nearplate streamwise streaks as the most energetic flow structures and theoretically predicts prevailing length-scales. The results of our analysis are in good agreement with the experimental and numerical studies of the free-stream-turbulence-induced boundary layer transition.

KW - Boundary layers

KW - Energy amplification

KW - Freestream turbulence

KW - Navier-Stokes equations

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BT - 2008 American Control Conference, ACC

T2 - 2008 American Control Conference, ACC

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ER -

Energy amplification in a parallel Blasius boundary layer flow subject to free-stream turbulence

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