Three Dimensional Turbulent Boundary Layer

The IUTAM Symposium on Three-dimensional Turbulent Boundary Layers was suggested by the Gesellschaft für Angewandte Mathe­ matik (GAMM) and sponsored by the International Union of theor­ etical and Applied Mechanics. The symposium was organized by H.H. Fernholz (Hermann-Föttinger-Institut für Thermo- und Fluiddynamik der Technischen Universität Berlin) and E. Krause (Aerodynamisches Institut der RWTH Aachen). After two success­ ful Euromech Colloquia on the same topic in Berlin 1972 and Trondheim 1975 the organizers felt that another meeting should be convened, this time with participants from inside and out­ side Europe. The aim of the symposium has been to bring together scientists who are actively engaged in boundary layer research, both ex­ perimental and theoretical. The scope of the meeting encompass­ ed incompressible and compressible three-dimensional turbulent boundary layers. Special emphasis was laid on economical cal­ culation methods, on measurements of fluctuating quantities and on measuring techniques designed for and applied success­ fully to three-dimensional boundary layers. From among thirty-four papers submitted for presentation, twenty­ six contributions of twenty-five minutes each were selected by the European mernbers of the Scientific Committee. Furthermore there were four invited lectures of forty-five minutes. Short discussions were held directly after each presentation with a long discussion period at the end of each day. The final dis­ cussion on the last day of the symposium was recorded on tape and is presented in a slightly shortened version as the last contribution in this volume.

The various methods for measurement of the six components of the turbulence stress tensor are reviewed, and some of the data on the turbulent shear stress vector are presented to demonstrate the validity of current ideas for.

An analytical approach toward numerical calculation of the three-dimensional turbulent boundary layer on a sharp cone at incidence under supersonic and hypersonic flow conditions is presented. The theoretical model is based on implicit finite-difference integration of the governing three-dimensional turbulent boundary-layer equations in conjunction with a three-dimensional scalar eddy-viscosity model of turbulence. Comparison is made of present theory with detailed experimental measurements of the three-dimensional turbulent boundary-layer structure (velocity and temperature profiles), the surface streamline direction (obtained via an oil-flow technique) and surface heat-transfer rate.