
Accession Number : AD0668498
Title : SOLUTIONS OF THE SECONDORDER BOUNDARYLAYER 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 secondorder boundarylayer equations for laminar incompressible flow. Accurate numerical solutions of the most general self similar equations are tabulated for the four secondorder 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 firstorder boundarylayer separation. In particular it is found that the displacement speed problem can proceed up to separation for only two values of the secondorder 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 KarmenPohlhausen 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