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BiGlobal Stability Analysis of Swept-Wing Boundary Layers with Forward and Backward Facing Steps

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IUTAM Laminar-Turbulent Transition

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 38))

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Abstract

The temporal stability characteristics of generic, swept-wing boundary-layer flows of practical engineering significance with a smooth, isolated backward-facing step or a forward-facing step are investigated. A streamwise BiGlobal analysis is undertaken on previously computed steady-state, Mach 0.3 Navier-Stokes solutions that had been obtained for four spanwise invariant step heights and at two chordwise locations on an infinite swept-wing geometry. Temporal instability is detected for heights exceeding 25 % of the undisturbed boundary-layer thickness, or one unit of the undisturbed displacement thickness at the step chordwise location. Forward-facing steps with the greatest height are not found to be temporally unstable in contrast to backward-facing steps. Unstable modes feature localised regions of large streamwise and spanwise perturbation velocity magnitude near the lower corner of the backward-facing step or just downstream of the forward-facing step. Wave-like modes are found to arise from the deepest backward-facing step.

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Acknowledgements

This work was supported by the SSeMID Innovative Training Network, which has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowoska-Curie grant agreement No. 675008.

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Authors and Affiliations

  1. Imperial College London, 180 Queen’s Gate, London, SW7 2AZ, UK

    Thibaut Appel, Emma Cooke & Shahid Mughal

  2. Airbus Central R & T, Aerospace Avenue, Filton, Bristol, BS34 7PA, UK

    Richard Ashworth

Authors
  1. Thibaut Appel
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  2. Emma Cooke
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  3. Shahid Mughal
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  4. Richard Ashworth
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Corresponding author

Correspondence to Thibaut Appel .

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Editors and Affiliations

  1. Imperial College London, London, UK

    Spencer Sherwin

  2. Imperial College London, London, UK

    Peter Schmid

  3. Imperial College London, London, UK

    Xuesong Wu

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Appel, T., Cooke, E., Mughal, S., Ashworth, R. (2022). BiGlobal Stability Analysis of Swept-Wing Boundary Layers with Forward and Backward Facing Steps. In: Sherwin, S., Schmid, P., Wu, X. (eds) IUTAM Laminar-Turbulent Transition. IUTAM Bookseries, vol 38. Springer, Cham. https://doi.org/10.1007/978-3-030-67902-6_30

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  • DOI: https://doi.org/10.1007/978-3-030-67902-6_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-67901-9

  • Online ISBN: 978-3-030-67902-6

  • eBook Packages: EngineeringEngineering (R0)

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