gen-bl: secondary instability of saturated cf-vortices*

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1 Animations of crossflow transition scenarios Animations of crossflow transition scenarios (to J. Fluid Mech. vols. 456, 483, 530. (to J. Fluid Mech. vols. 456, 483, 530. © © Kloker & Wassermann) Kloker & Wassermann) GEN-BL: Secondary Instability of Saturated CF- Vortices* t-modal amplitude development w s u s low-frequency type-III (z)-mode high-frequency type-I (z)-mode u s -amplitude in crosscut *from a steady mode packet

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low-frequency type-III (z)-mode. u s -amplitude in crosscut. high-frequency type-I (z)-mode. w s. u s. GEN-BL: Secondary Instability of Saturated CF-Vortices*. * from a steady mode packet. t-modal amplitude development. „steady“ 2-D. „steady“ 3-D. - PowerPoint PPT Presentation

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Page 1: GEN-BL:  Secondary Instability of  Saturated CF-Vortices*

1Animations of crossflow transition scenarios Animations of crossflow transition scenarios (to J. Fluid Mech. vols. 456, 483, 530. (to J. Fluid Mech. vols. 456, 483, 530. © © Kloker & Wassermann)Kloker & Wassermann)

GEN-BL: Secondary Instability of Saturated CF-Vortices*

t-modal amplitude development

ws

us

low-frequency type-III (z)-mode

high-frequency type-I (z)-mode

us-amplitudein crosscut

*from a steady mode packet

Page 2: GEN-BL:  Secondary Instability of  Saturated CF-Vortices*

2Animations of crossflow transition scenarios Animations of crossflow transition scenarios (to J. Fluid Mech. vols. 456, 483, 530. (to J. Fluid Mech. vols. 456, 483, 530. © © Kloker & Wassermann)Kloker & Wassermann)

„steady“ 3-D „steady“ 2-D

moving coordinate system

GEN-BL: Secondary Instability of Traveling CF-Vortices

medium-frequency 'z-y'-mode

high-frequency 'y'-mode

Page 3: GEN-BL:  Secondary Instability of  Saturated CF-Vortices*

3Animations of crossflow transition scenarios Animations of crossflow transition scenarios (to J. Fluid Mech. vols. 456, 483, 530. (to J. Fluid Mech. vols. 456, 483, 530. © © Kloker & Wassermann)Kloker & Wassermann)

“natural”

GEN-BL: Transition-Delay by Upstream Flow Deformation

„Natural“ scenario

With excitation ofcloser-spacedvortices upstream (UFD)

vortices+

pulsing+

UFD

Wassermann & Kloker (UFD)Saric & al. (DRE)

Page 4: GEN-BL:  Secondary Instability of  Saturated CF-Vortices*

4Animations of crossflow transition scenarios Animations of crossflow transition scenarios (to J. Fluid Mech. vols. 456, 483, 530. (to J. Fluid Mech. vols. 456, 483, 530. © © Kloker & Wassermann)Kloker & Wassermann)

GEN-BL-APG: small-amplitude vortices + T-S-wave: part III

t-modal amplitude development

t-z-modal amplitude development

T-S wave

vortex modeIncreased initialT-S amplitude breakdown

but:

- T-S just generates secondary crossflow modes

- secondary growth independent of T-S (unlike K-type!)

- active control on T-S useless!

(see JFM 530, 2005)

Page 5: GEN-BL:  Secondary Instability of  Saturated CF-Vortices*

5Animations of crossflow transition scenarios Animations of crossflow transition scenarios (to J. Fluid Mech. vols. 456, 483, 530. (to J. Fluid Mech. vols. 456, 483, 530. © © Kloker & Wassermann)Kloker & Wassermann)

GEN-BL: Convective nature of Secondary Instability - DNS

t = t0

t = t0+3T

t = t0+6T

Switching-offthe backgroundpulses relaxationto steadysaturated state

Isofläche 2