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Jet profile solutions of the Falkner-Skan equation

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New solutions of the Falkner-Skan equation are presented which display jet-like behaviour. Within non-uniform flow the parameter range over which the new solutions exist is bounded by a singular limit. The limit is shown to be closely related to the well-known plane jet similarity solution.

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Astin, P., Wilks, G. Jet profile solutions of the Falkner-Skan equation. Z. angew. Math. Phys. 47, 790–798 (1996).

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Mathematics Subject Classification (1991)

  • 76D25


  • Boundary layer
  • similarity solutions