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REVIEW ARTICLES: Receptivity Phenomena

Mean Flow Validation for Numerical Study of Leading Edge Boundary Layer Receptivity

[+] Author and Article Information
Thomas B. Gatski

NASA Langley Research Center, Hampton, Virginia 23665-5225

Appl. Mech. Rev 43(5S), S181-S184 (May 01, 1990) doi:10.1115/1.3120799 History: Online April 30, 2009

Abstract

Numerical calculations are presented for the incompressible flow over a parabolic cylinder. Cylinder radii, smaller than the Tollmien-Schlichting wavelength of the boundary-layer flow, and smaller than those examined in previous studies, are considered. The calculation includes the flow upstream of the body, as well as the leading-edge region itself, and extends downstream into the region where the Blasius boundary-layer solution holds. A steady mean flow solution is computed and the results for the scaled surface vorticity and the displacement thickness are compared to previous studies. The unsteady problem is then formulated as a perturbation solution starting with and evolving from the mean flow. Comparisons are made with the Stokes wave solutions at various periods and locations within the boundary-layer. In the initial phase of this study reported here, these mean flow results are used to analyze some of the features observed in previous forced flow numerical studies.

Copyright © 1990 by American Society of Mechanical Engineers
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