並列タイトル等Stability Calculations of the Two-Dimensional Boundary Layer along a Concave Wall Part 1. A Numerical Method of Solution for the Simultaneous Ordinary Differential Equations Governing Disturbances
タイトル（掲載誌）航空宇宙技術研究所報告 = Technical Report of National Aerospace Laboratory TR-841
一般注記Linear and weakly non-linear developments of Gortler vortices induced by instability of the boundary layer along a concave wall are governed by simultaneous ordinary differential equations of second and fourth order. The eigenvalue problems in linear analysis are posed by homogeneous equations and boundary conditions, but in weakly non-linear theories several boundary-value problems of inhomogeneous equations have to be solved, some of which are singular in the sense that there exist solutions only if the forcing terms satisfy a kind of solvability condition. In this paper a numerical method of solution is presented for three kinds of such equation systems and is shown to give very accurate solutions. Also, a very fast method of iteration appropriate for calculation of eigenvalues is given. Tentative calculations are made to obtain the neutral stability curve of the Blasius velocity profile to Gortler vortices as well as the maximum-growth-rate curve, the former of which is in very good agreement with the most reliable result of earlier investigations.
資料番号: NALTR0841000
レポート番号: NAL TR-841
一次資料へのリンクURLhttps://jaxa.repo.nii.ac.jp/?action=repository_action_common_download&item_id=45099&item_no=1&attribute_id=31&file_no=1
連携機関・データベース国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
提供元機関・データベース宇宙航空研究開発機構 : 宇宙航空研究開発機構リポジトリ