Accession Number:

AD0668498

Title:

SOLUTIONS OF THE SECOND-ORDER BOUNDARY-LAYER EQUATIONS FOR LAMINAR INCOMPRESSIBLE FLOW,

Descriptive Note:

Corporate Author:

NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s):

Report Date:

1968-01-31

Pagination or Media Count:

192.0

Abstract:

Use is made of self similarity approach and integral momentum technique to obtain solutions of Van Dykes second-order boundary-layer equations for laminar incompressible flow. Accurate numerical solutions of the most general self similar equations are tabulated for the four second-order contributions due to vorticity interaction, displacement speed, longitudinal curvature, and transverse curvature. A limited number of closed form solutions are obtained which appear to have special significance at the point of first-order boundary-layer separation. In particular it is found that the displacement speed problem can proceed up to separation for only two values of the second-order pressure gradient. All other cases display an infinite discontinuity at this point. Numerical solutions of a large number of cases for the longitudinal and transverse curvature effects well support an identical conclusion. The integral momentum technique applied a straight forward extension of the Karmen-Pohlhausen solutions is found to be oversensitive to approximations and in the final analysis is rejected in favor of locally similar solutions. Author

Subject Categories:

  • Aerodynamics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE