摘要

The Falkner-Skan equation, defined by the parameter beta, is considered subject to a free streamline ( zero wall shear) boundary condition. Solutions are found only in beta < 0, the solution becoming singular as beta -> 0. Several sets of solutions are seen in beta < 0, each emerging from the trivial solution f equivalent to eta at beta = - 1/2 - k, k = 0, 1, 2,.... The first of these sets of solutions has f ' (0) monotone with beta, the solution terminating as beta -> 0 and becoming singular as beta -> - 1. The other sets of solutions each have a saddle-node bifurcation giving two solution branches, becoming singular and terminating as beta -> -1. The asymptotic limits of beta -> 0 and beta -> -1 are discussed.

  • 出版日期2017-3