Formation of the three-dimensional structure of the subharmonic transition regime in Blasius flow

Zel'man, M. B.; Maslennikova, I. I.

doi:10.1007/bf01051579

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Streamwise Pressure Gradient1

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1992

1993

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Cited by 2 publications

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“…The problem was treated in Herbert & Bertolotti (1985) by the secondary instability method. We considered (Zelman & Maslennikova 1989) pressure gradient effects on the formation and evolution of symmetrical TS-triads with Falkner-Skan profiles as a model problem. In this case U,(x)xml and the local pressure gradient V p = i3p/dxm, where m = 2m,/(m, + 1).…”

Section: Streamwise Pressure Gradientmentioning

confidence: 99%

Tollmien-Schlichting-wave resonant mechanism for subharmonic-type transition

Zel'man

Maslennikova

1993

J. Fluid Mech.

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Disturbance interactions in wave triads and multiwave systems of various configurations are investigated to reveal the mechanism of laminar-turbulent transition in Blasius and pressure-gradient boundary layers. The averaging method of weakly nonlinear instability theory in quasi-parallel flows is applied. Tollmien-Schlichting-wave resonant interaction is shown to be the only leading mechanism of subharmonic (S)-type transition. The mechanism universally dominates in boundary layers excited by sufficiently small initial disturbances. The role of any other mode is inefficient. Weakly nonlinear models are concluded not to explain the K-type transition scenario. The results of the study are employed to interpret physical and numerical experimental data.

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Section: Streamwise Pressure Gradientmentioning

confidence: 99%