The three-dimensional boundary-layer equations are studied close to separation and to a plane of symmetry. Perturbation about a one-dimensional parabolic flow field leads to a sequence of linear equations which have eigensolutions, the first of which satisfies a nonlinear equation. This first eigensolution contains all the important information about the skin friction, and by appropriate choice of the perturbation problem the skin friction is shown to satisfy a first order nonlinear wave equation. The characteristics of this equation are the skin-friction lines (surface stream lines), and their behavior is described close to separation. The description obtained is a global one (that is, not restricted to the neighborhood of a plane of symmetry) when the cross flow is small. The validity of the local solution is confirmed by a Goldstein-type coordinate expansion. (Author)

  • Supplemental Notes:
    • Revision of report dated 9 December 1971. Published in Physics of Fluids V15 N12, pp 2106-2113, December 1972.
  • Corporate Authors:

    New York University, Bronx

    Department of Mathematics
    Bronx, NY  United States 
  • Authors:
    • Buckmaster, J
  • Publication Date: 1972-5-2

Media Info

  • Pagination: 10 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00044652
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Report/Paper Numbers: AFOSR-TR-73-0209
  • Contract Numbers: AF-AFOSR-2301-72
  • Files: TRIS
  • Created Date: Sep 18 1973 12:00AM