PERTURBATION TECHNIQUE FOR THE STUDY OF THREE-DIMENSIONAL SEPARATION

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

• TRT Terms: Boundary layer separation; Perturbations; Skin friction; Three dimensional flow
• Uncontrolled Terms: Separation
• Old TRIS Terms: Perturbation problems
• Subject Areas: Design; Marine Transportation;

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