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Vortex-Wave Interaction in a Strong Adverse Pressure Gradient

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Instability, Transition, and Turbulence

Part of the book series: ICASE NASA LaRC Series ((ICASE/NASA))

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Abstract

The wide-vortex / Tollmein-Schlichting-wave three-dimensional interaction equations are considered in the limit of a strong adverse pressure gradient driving the boundary-layer flow. The asymptotic structure that emerges enables simplification of the equations and results in a partial differential equation governing directly the three-dimensional skin-friction field coupled with the effects of the wave forcing. A numerical scheme is developed to solve this system and the results are compared with an analytic solution valid for short distances after the onset of the interaction, among other things.

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References

  1. Hall, P. & Smith, F.T. 1991 On strongly nonlinear vortez/wave interactions in boundary-layer transition J. Fluid Mech 227 641–666.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Smith, F.T. & Walton A.G.1989 Nonlinear interaction of near-planar TS waves and longitudinal vortices in boundary-layer transition Mathematika 36 Part 2.262–289.

    Article  MathSciNet  MATH  Google Scholar 

  3. Walton, A.G. & Smith, F.T. 1991 Properties of strongly nonlinear vortex/Tollmein-Schlichting wave interactions submitted to J. Fluid Mech.

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  4. Goldstein, S. 1948 On laminar boundary layer flow near a point of separation Q.J. Mech Appl. Math,1 43–69.

    Google Scholar 

  5. Stewartson, K. 1970 Is the singularity at separation removable? J. Fluid Mech 44 347–364.

    Article  ADS  MATH  Google Scholar 

  6. Stewartson, K., Smith, F.T. & Kaups, K. 1982 Marginal separation Stud. Appl. Maths 67 45–61.

    MathSciNet  MATH  Google Scholar 

  7. Brown, S.N. 1985 Marginal separation of a three-dimensional boundary layer on a line of symmetry J. Fluid Mech. 185 95–111.

    Article  ADS  Google Scholar 

  8. Smith, F.T. 1982 Concerning dynamic stall Aero. Q. 331–352.

    Google Scholar 

  9. Walton, A.G. 1991 Theory and computation of three-dimensional nonlinear effects in pipe flow transition Ph.D. thesis University of London.

    Google Scholar 

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© 1992 Springer-Verlag New York, Inc.

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Walton, A.G., Bowles, R.I., Smith, F.T. (1992). Vortex-Wave Interaction in a Strong Adverse Pressure Gradient. In: Hussaini, M.Y., Kumar, A., Streett, C.L. (eds) Instability, Transition, and Turbulence. ICASE NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2956-8_9

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  • DOI: https://doi.org/10.1007/978-1-4612-2956-8_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7732-3

  • Online ISBN: 978-1-4612-2956-8

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