Critical Study of Integral Methods In Compressible Laminar Boundary Layers
Abstract
A number of the most promising integral methods for solving approximately the compressible laminar boundary layer equations are investigated in order to determine a computationally convenient and sufficiently accurate method of calculating boundary layer characteristics. The chief methods considered are: (a) The one-parameter Karm'a'n-Pohlhausen method, with three different assumptions for the velocity profiles, and (b) the two-parameter method, first applied by Sutton, with two different assumptions for the velocity profiles. After the methods are explicitly described in general terms for the case of zero pressure gradient and for the case of a pressure gradient in the direction of flow with zero heat transfer, they are applied to the calculation of the compressible laminar boundary layer over a surface with zero pressure gradient, with and without heat transfer at the surface, for the purpose of establishing the accuracy of the methods. Comparison of the results is made with those of known exact solutions for skin-friction and he at -transfer coefficients, velocity profiles, velocity derivatives, and especially laminar-boundary- layer stability. From this comparison it is found that the %rman'- Pohlhausen method with a sixth-degree polynomial as the velocity profile is the most suitable for many practical purposes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1952
- Accession Number
- ADA380596
Entities
People
- Martin Bloom
- Morris Morduchow
- Paul A. Libby
Organizations
- New York University Tandon School of Engineering