Simple approximations for the asymptotic description of the interaction between a normal shock wave and a turbulent boundary layer at transonic speedsThe asymptotic description of the interaction between a normal shock wave and a turbulent boundary layer is reviewed. The layers necessary in a rational analysis of the interaction are discussed with emphasis on the differences from an interaction with a laminar boundary layer, the uncoupling of solutions for the distribution of pressure and skin friction at the wall, and the role of the Reynolds shear stress in these solutions. The accuracy of asymptotic solutions in flows at Reynolds numbers of technical interest is discussed. Solutions for the distribution of pressure and skin friction at the wall and the shape of the shock are considered for the case where the flow is near separation. For the pressure and skin friction, it is possible to write two simplified partial solutions, one valid at the beginning of the interaction and one valid somewhat downstream of the shock wave. A solution composed of these two parts and a linear interpolation between them appears to give good comparison with experiment; one unknown constant, independent of the parameters of the interaction, must be found from experiment. The simplified relations are presented. Comparison of numerical computations with experimental data indicates a possible value for the constant and shows quite satisfactory results.
Document ID
19810017517
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Adamson, T. C., Jr. (Michigan Univ. Ann Arbor, MI, United States)
Messiter, A. F. (Michigan Univ. Ann Arbor, MI, United States)
Date Acquired
August 11, 2013
Publication Date
February 1, 1981
Publication Information
Publication: AGARD Computation of Viscous-Inviscid Interactions