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Receptivity of the Flat-Plate Boundary Layer to Free-Stream Turbulence

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Abstract

The linear problem of generation of perturbations of a flat-plate boundary layer by external turbulence is solved. The turbulence is represented in the form of a set of space- and time-periodic vortex modes. It is shown that the boundary layer is most receptive to low-frequency longitudinal vorticity modes. The mean-square velocity fluctuations in the boundary layer and their spectrum are found for isotropic turbulence with a spectrum satisfying the Kolmogorov-Obukhov law.

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REFERENCES

  1. M. V. Morkovin, "The many faces of transition, ” in: C. S. Wells, Viscous Drag Reduction, Plenum Press, N. Y., 1969, P. 1.

    Google Scholar 

  2. K. J. A. Westin, A. V. Boiko, B. G. B. Klingmann, V. V. Kozlov, and P. H. Alfredsson, "Experiments in a boundary layer subjected to free stream turbulence. Pt. I: Boundary layer structure and receptivity," J. Fluid Mech., 281, 193 (1994).

    Google Scholar 

  3. A. N. Gulyaev, V. E. Kozlov, V. P. Kuznetsov, B. I. Mineev, and A. N. Sekundov, "Interaction of a laminar boundary layer with outer turbulence," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 55 (1989).

  4. F. P. Bertolotti, "Response of the Blasius boundary layer to free-stream vorticity," Phys. Fluids, 9, 2286 (1997).

    Google Scholar 

  5. F. P. Bertolotti and J. M. Kendall, "Response of the Blasius boundary layer to controlled free-stream vortices of axial form," AIAA Paper, No. 97–2018 (1997).

  6. A. N. Gulyaev, V. E. Kozlov, and V. P. Kuznetsov, "Penetration of three-dimensional low-frequency free-stream velocity fluctuations into laminar boundary layer on a flat plate," Tr. TsIAM, No. 1287, 197 (1991).

  7. P. Andersson, M. Berggren, and D. S. Henningson, "Optimal disturbances and bypass transition in boundary layers," Phys. Fluids, 11, 134 (1999).

    Google Scholar 

  8. M. E. Goldstein, S. J. Leib, and S. J. Cowley, "Distortion of a flat plate boundary layer by free-stream vorticity normal to the plate," J. Fluid Mech., 237, 231 (1992).

    Google Scholar 

  9. O. S. Ryzhov and S. V. Timofeev, "Interaction of a vortex with a local surface roughness," Mat. Modelirovanie, 4, No. 6, 27 (1992).

    Google Scholar 

  10. P. W. Duck, A. I. Ruban, and C. N. Zhikharev, "The generation of Tollmien-Schlichting waves by free-stream turbulence," J. Fluid Mech., 312, 341 (1996).

    Google Scholar 

  11. S. C. Crow, "The spanwise perturbations of two-dimensional boundary layers," J. Fluid Mech., 24, 153 (1966).

    Google Scholar 

  12. M. D. Van Dyke, Perturbation Methods in Fluid Mechanics, Academic Press, New York (1964).

    Google Scholar 

  13. M. V. Ustinov, "Receptivity of the boundary layer on a flat plate with blunt leading edge to a steady free-stream inhomogeneity," Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 93 (2000).

  14. L. D. Landau and E. M. Lifshitz, Theoretical Physics. Vol. 6. Hydrodynamics [in Russian], Nauka, Moscow (1986).

    Google Scholar 

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  1. M. V. Ustinov
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Ustinov, M.V. Receptivity of the Flat-Plate Boundary Layer to Free-Stream Turbulence. Fluid Dynamics 38, 397–408 (2003). https://doi.org/10.1023/A:1025193905823

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