| タイトル | The evolution of Tollmien-Schlichting waves near a leading edge |
| 著者（英） | Goldstein, M. E. |
| 著者所属（英） | NASA Lewis Research Center |
| 発行日 | 1983-02-01 |
| 言語 | eng |
| 内容記述 | The method of matched asymptotic expansions is used to study the generation of Tollmien-Schlichting waves by free-stream disturbances incident on a flat-plate boundary layer. Near the leading edge, the motion is governed by the unsteady boundary-layer equation, while farther downstream it is governed (to lowest order) by the Orr-Sommerfeld equation with slowly varying coefficients. It is shown that there is an overlap domain where the Tollmien-Schlichting wave solutions to the Orr-Sommerfeld equation and appropriate asymptotic solutions of the unsteady boundary-layer equation match, in the matched-asymptotic-expansion sense. The analysis explains how long-wavelength free-stream disturbances can generate Tollmien-Schlichting waves of much shorter wavelength. It also leads to a set of scaling laws for the asymptotic structure of the unsteady boundary layer. |
| NASA分類 | FLUID MECHANICS AND HEAT TRANSFER |
| レポートNO | 83A24410 |
| 権利 | Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/405235 |
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