Interaction between a shock wave and a turbulent boundary layer in transonic flow
Abstract
Interaction between a shock wave and an unseparated turbulent boundary layer is considered. The method of matched asymptotic expansions is used, with solutions valid in the double limit as Reynolds number tends to infinity and Mach number tends to unity. The shock is weak enough that interaction effects can be considered as perturbations to the undisturbed flow; the case considered is that where the sonic line is near the outer edge of the boundary layer. It is shown that, with order estimates for Reynolds stress perturbations, the induced wall pressure distribution can be calculated using only the two outer interaction regions, independent of a specific closure condition and that this solution is in fact a turbulent free interaction solution. A detailed analysis of the inner regions, for which an eddy viscosity model for the Reynolds shear stress is used, provides a description of the variations in velocity, temperature and density near and at the wall.
 Publication:

SIAM Journal of Applied Mathematics
 Pub Date:
 July 1975
 Bibcode:
 1975SJAM...29..121A
 Keywords:

 Boundary Layer Flow;
 Shock Wave Interaction;
 Transonic Flow;
 Turbulent Boundary Layer;
 Asymptotic Series;
 Compressible Boundary Layer;
 Flow Characteristics;
 Oblique Shock Waves;
 Pressure Distribution;
 Reynolds Stress;
 Wall Pressure;
 Fluid Mechanics and Heat Transfer