Global instability analysis of a boundary layer flow over a small cavity

Mathias, Marlon Sproesser; Medeiros, Marcello Augusto Faraco de

doi:10.2514/6.2019-3535

Cited by 5 publications

(2 citation statements)

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“…This supports the observation that the threshold boundary in figure 5 is associated with bypass transition. Further evidence for this is provided by the recent global stability analysis of Mathias and Medeiros (2019).…”

Section: Experimental Results On Gap Effectsmentioning

confidence: 87%

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Characterizing surface-gap effects on boundary-layer transition dominated by Tollmien–Schlichting instability

Crouch

Kosorygin

Sutanto

et al. 2022

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Effects of gaps (rectangular surface cavities) on boundary-layer transition are investigated using a combination of linear stability theory and experiments, for boundary layers where the smooth-surface transition results from Tollmien–Schlichting (TS) instability. Results are presented for a wide range of gap characteristics, with the associated transition locations ranging from the smooth-surface location all the way forward to the gap location. The transition movement is well described by a variable $N$ -factor, which links the gap characteristics to the level of instability amplification $e^N$ leading to transition. The gap effects on TS-wave transition are characterized by two limiting behaviours. For shallow gaps $d/w < 0.017$ , the reduction in $N$ -factor is a function of the gap depth $d$ and is independent of the gap width $w$ . For deep gaps $d/w > 0.028$ , the reduction in $N$ -factor is a function of the gap width and is independent of the gap depth. When both the gap width and depth are sufficiently large relative to the displacement thickness $\delta ^*$ , the TS-wave transition is bypassed, resulting in transition at the gap location. These behaviours are mapped out in terms of ( $w/ \delta ^*$ , $d/ \delta ^*$ ), providing a predictive model for gap effects on transition.

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Section: Experimental Results On Gap Effectsmentioning

confidence: 87%

“…The occurrence of transition at the gap location is investigated using global stability analysis by Mathias and Medeiros (2019). Their results suggest that the observed transition at the gap location is a form of bypass transition, independent of the TS instability.…”

Section: Introductionmentioning

confidence: 99%