Accession Number : AD0668498

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

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Werle,Michael J.

Report Date : 31 JAN 1968

Pagination or Media Count : 192

Abstract : Use is made of self similarity approach and integral momentum technique to obtain solutions of Van Dyke's 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)

Descriptors :   (*BOUNDARY LAYER, *INCOMPRESSIBLE FLOW), LAMINAR FLOW, NUMERICAL ANALYSIS, EQUATIONS OF MOTION, MOMENTUM, THICKNESS, SHEAR STRESSES, VORTICES, FLOW SEPARATION

Subject Categories : Aerodynamics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE