Normal shockturbulent boundary layer interaction
Abstract
A survey on investigations of the interaction between a weak normal shock and a two dimensional compressible turbulent boundary layer is presented. The theoretical results are compared with some measurements. An analytical model is presented which includes three domains: a thin viscous sublayer (which is different from the laminar sublayer) adjacent to the wall; an inviscid shear layer; and an inviscid transonic potential flow. With regional solutions in closed form, which are coupled iteratively, the pressure and velocity distribution in the boundary layer is obtained. The thickness of the viscous sublayer is an essential parameter of the whole interaction problem. A characteristic behavior of the gradient of the wallshearstress in flow direction is used to determine the thickness parameter. The result is confirmed by another independent analytical solution which we have derived recently using the method of matched asymptotic expansions. The theory includes the prediction of the incipient shock induced separation as a limiting case. With the condition of vanishing wallshearstress an analytical criterion follows from the explicit solution near the wall. A diagram is presented which yields the combination of Mach number and Reynolds number which will result in separation for a given wall curvature and shape factor of the undisturbed velocity profile.
 Publication:

In AGARD Computation of ViscousInviscid Interactions 8 p (SEE N8126037 1701
 Pub Date:
 February 1981
 Bibcode:
 1981cvii.agar.....B
 Keywords:

 Compressible Flow;
 Inviscid Flow;
 Shock Layers;
 Turbulent Boundary Layer;
 Boundary Layer Separation;
 Graphs (Charts);
 Pressure Gradients;
 Shear Stress;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer