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Calculation of Laminar Separation with Free Interaction by the Method of Integral Relations: Part I - Two-Dimensional Supersonic Adiabatic Flow

Report Number: AFFDL TR 65-107
Author(s): Jack N. Nielsen; Larry L. Lynes; Frederick K. Goodwin
Corporate Author: Itek Corporation
Laboratory: Air Force Flight Dynamics Laboratory
Date of Publication: 1965-10
Pages: 120
Contract: AF 33(615)-1591
Project: 8219
Task: 821902
AD Number: AD0626160

Methods are presented for calculating the laminar boundary-layer flow through separation to reattachment under the influence of a prescribed pressure gradient or, in the case of a supersonic main stream, under the influence of 'free interaction' between the boundary layer and the main flow. The present method is based on the Dorodnitsyn method of integral relations and uses a rational velocccity profile which accounts properly for the separation singularity. As a result, the possibility of higher approximations is inherent in the method. The calculated solution for free interaction goes smoothly through the separation point and is in good agreement with certain features of the Navier-Stokes solution in the neighborhood of separation. Good agreement is exhibited betweeen experimental and calculated pressure distributions up to reattachment for the several cases for which the comparisons were made. A computer program based on the work was prepared for two-dimensional flow. It is planned to continue the work to cover nonadiabatic boundary layers and axisymmetric bodies.

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