The Compressible Laminar Two-Dimensional Wake with Arbritrary Initial Asymmetry
Abstract
Closed-form analytic solutions are presented for the two-dimensional laminar wake, which are applicable from the trailing edge to infinite downstream distances, and for any 'initial asymmetry' ratio of the two merging boundary layer thicknesses. An initially exponential velocity profile is assumed, and Gold's treatment is utilized of the evolution of the profile based on the Oseen approximation. The solutions show the effect of edge Mach number, Reynolds number, wall-to-stagnation temperature ratio and asymmetry factor. Beyond a certain distance from the trailing edge the solutions reduce to the well-known asymptotic behavior regardless of the magnitude of these parameters. In the 'non-equilibrium' region from the trailing edge to the equilibration distance, the supersonic/hypersonic cooled wake behaves rather abnormally. The effect of initial asymmetry is to deflect the wake center off the plane of the trailing edge, and to displace the wake center of the velocity relative to the temperature-density center without much affecting the velocity, temperature or density defect magnitudes or the wake thickness. Comparison with earlier work shows very good agreement with the Tollmien-Goldstein implicit solutions near the trailing edge for symmetric incompressible flows. Good agreement is also found with available experimental data. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1981
- Accession Number
- ADA109084
Entities
People
- Anthony Demetriades
Organizations
- Montana State University