Numerical investigation of the interaction of the Klebanoff-mode with a Tollmien-Schlichting wave

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Abstract

Direct numerical simulations (DNS) of the Navier-Stokes equations are used to investigate the role of the Klebanoff-mode in laminar-turbulent transition in a flat-plate boundary layer. To model the effects of free-stream turbulence, volume forces are used to generate low-frequency streamwise vortices outside the boundary layer. A suction/blowing slot at the wall is used to generate a two-dimensional Tollmien-Schlichting (TS) wave inside the boundary layer. The characteristics of the fluctuations inside the boundary layer agree very well with those measured in experiments. It is shown how the interaction of the Klebanoff-mode with the two-dimensional TS-wave leads to the formation of three-dimensional TS-wavepackets. When the disturbance amplitudes reach a critical level, a fundamental resonance-type secondary instability causes the breakdown of the TS-wavepackets into turbulent spots.

Original languageEnglish (US)
Pages (from-to)1-33
Number of pages33
JournalJournal of Fluid Mechanics
Volume450
StatePublished - Jan 10 2002

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Tollmien-Schlichting waves
boundary layers
Boundary layers
interactions
blowing
free flow
Direct numerical simulation
suction
flat plates
Blow molding
direct numerical simulation
slots
Navier-Stokes equation
Navier Stokes equations
Vortex flow
Turbulence
disturbances
breakdown
turbulence
vortices

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

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abstract = "Direct numerical simulations (DNS) of the Navier-Stokes equations are used to investigate the role of the Klebanoff-mode in laminar-turbulent transition in a flat-plate boundary layer. To model the effects of free-stream turbulence, volume forces are used to generate low-frequency streamwise vortices outside the boundary layer. A suction/blowing slot at the wall is used to generate a two-dimensional Tollmien-Schlichting (TS) wave inside the boundary layer. The characteristics of the fluctuations inside the boundary layer agree very well with those measured in experiments. It is shown how the interaction of the Klebanoff-mode with the two-dimensional TS-wave leads to the formation of three-dimensional TS-wavepackets. When the disturbance amplitudes reach a critical level, a fundamental resonance-type secondary instability causes the breakdown of the TS-wavepackets into turbulent spots.",
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N2 - Direct numerical simulations (DNS) of the Navier-Stokes equations are used to investigate the role of the Klebanoff-mode in laminar-turbulent transition in a flat-plate boundary layer. To model the effects of free-stream turbulence, volume forces are used to generate low-frequency streamwise vortices outside the boundary layer. A suction/blowing slot at the wall is used to generate a two-dimensional Tollmien-Schlichting (TS) wave inside the boundary layer. The characteristics of the fluctuations inside the boundary layer agree very well with those measured in experiments. It is shown how the interaction of the Klebanoff-mode with the two-dimensional TS-wave leads to the formation of three-dimensional TS-wavepackets. When the disturbance amplitudes reach a critical level, a fundamental resonance-type secondary instability causes the breakdown of the TS-wavepackets into turbulent spots.

AB - Direct numerical simulations (DNS) of the Navier-Stokes equations are used to investigate the role of the Klebanoff-mode in laminar-turbulent transition in a flat-plate boundary layer. To model the effects of free-stream turbulence, volume forces are used to generate low-frequency streamwise vortices outside the boundary layer. A suction/blowing slot at the wall is used to generate a two-dimensional Tollmien-Schlichting (TS) wave inside the boundary layer. The characteristics of the fluctuations inside the boundary layer agree very well with those measured in experiments. It is shown how the interaction of the Klebanoff-mode with the two-dimensional TS-wave leads to the formation of three-dimensional TS-wavepackets. When the disturbance amplitudes reach a critical level, a fundamental resonance-type secondary instability causes the breakdown of the TS-wavepackets into turbulent spots.

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