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Formation of recirculation zones in the boundary layer on a moving surface

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Abstract

A study is made of the region of free interaction of a supersonic boundary layer on a moving surface formed by a weak shock wave impinging on it from without. In the equations of motion, allowance is made for the contribution of the pressure induced by the growth in the displacement thickness of jets passing near the surface. The results are given of the numerical solution of the corresponding nonlinear problem, and the basic structure of the recirculation zones is discussed. It is noted that there are regimes in which the main recirculation zone is accompanied by an additional eddy formation with circulation in the opposite direction. In contrast to a boundary layer on a fixed body, the points at which the streamlines separate are not on the wall but within the flow.

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Literature cited

  1. V. Ya. Neiland, “Theory of the separation of a laminar boundary layer in a supersonic flow,” Izv. Akad. Nauk SSSR, Mekh. Zhldk. Gaza, No. 4 (1969).

  2. K. Stewartson and P. G. Williams, “Self-induced separation,” Proc. R. Soc. London Ser. A312, No. 1509 (1969).

  3. V. Ya. Neiland, “Asymptotic problems in the theory of viscous supersonic flows,” Tr. TsAGI, No. 1529 (1974).

  4. M. J. Lighthill, “On boundary layers and upstream influence. II. Supersonic flows without separation,” Proc. R. Soc. London Ser. A217, No. 1131 (1953).

  5. W. Schneider, “Upstream propagation of unsteady disturbances in supersonic boundary layers,” J. Fluid Mech.,63, Pt. 3 (1974).

  6. P. G. Daniels, “The flow about the trailing edge of a supersonic oscillating aerofoil,” J. Fluid Mech.,72, Pt. 3 (1975).

  7. O. S. Ryzhov and E. D. Terent'ev, “Nonstationary boundary layer with self-induced pressure,” Prikl. Mat. Mekh.,41, No. 6 (1977).

  8. E. D. Terent'ev, “Nonstationary boundary layer with self-induced pressure near an oscillating wall in a supersonic flow,” Dokl. Akad. Nauk SSSR,240, No. 5 (1978).

  9. A. I. Ruban, “Numerical solution of a local asymptotic problem of nonstationary separation of a laminar boundary layer in a supersonic flow,” Zh. Vychisl. Mat. Mat. Fiz.,18, No. 5 (1978).

  10. V. I. Zhuk and O. S. Ryzhov, “On a property of the linearized equations of a boundary layer with self-induced pressure,” Dokl. Akad. Nauk SSSR,240, No. 5 (1978).

  11. W. R. Sears and D. P. Telionis, “Boundary-layer separation in unsteady flow,” in: Proc. Intern. Symposium on Modern Developments in Fluid Dynamics in Honour of the 70th Birthday of S. Goldstein, SIAM, Philadelphia (1977).

    Google Scholar 

  12. J. C. Williams, III, “Incompressible boundary-layer separation,” in: Annual Rev. Fluid Mech., Vol. 9, Annual Revs. Inc., Palo Alto, California (1977).

    Google Scholar 

  13. V. Ya. Neiland, “Asymptotic theory of the interaction of a supersonic flow with a boundary layer,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4 (1971).

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Translated from Izvestiya Akademii Nauk SSSR, Meklianika Zhidkosti i Gaza, No. 5, pp. 3–10, September–October, 1980.

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Zhuk, V.I., Ryzhov, O.S. Formation of recirculation zones in the boundary layer on a moving surface. Fluid Dyn 15, 637–643 (1980). https://doi.org/10.1007/BF01089633

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  • DOI: https://doi.org/10.1007/BF01089633

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