Finitedifference solutions of the turbulent interacting supersonic boundarylayer equations, including separation effects
Abstract
A numerical algorithm is presented for the solution of the two dimensional, supersonic interacting turbulent boundary layer equations, including separation effects. The classical boundary layer equations are presented in LevyLees variables. Representative eddy viscosity models are given, and their limitations in the current problem with reversed flow are discussed. The supersonic inviscid flow is described by the usual isentropic flow relations, and an interaction model is presented wherein the boundary layer equations may be solved simultaneously with inviscid flow. In this model, the inviscid pressure at the edge of the boundary layer is determined by the displacement body, which contains a term proportional to the boundary layer displacement thickness. The refinement of the solution brought about by this interaction term is necessary to remove an artificial singularity encountered by the classical boundary layer equations near the separation point.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT........47B
 Keywords:

 Boundary Layer Separation;
 Finite Difference Theory;
 Algorithms;
 Inviscid Flow;
 Turbulent Boundary Layer;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer