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

Fu Lin, Mihailo R. Jovanović

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


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 languageEnglish (US)
Title of host publication2008 American Control Conference, ACC
Number of pages6
StatePublished - 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: Jun 11 2008Jun 13 2008

Publication series

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


Other2008 American Control Conference, ACC
Country/TerritoryUnited States
CitySeattle, WA


  • Boundary layers
  • Energy amplification
  • Freestream turbulence
  • Navier-Stokes equations


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