並列タイトル等A Non-linear Hydrodynamic Stability Theory with Numerical Calculations -Part 2. Theoretical Analysis and the Numerical Results for Plane Poiseuille Flow-
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-332
一般注記A method of analysis for studying the development of two-dimensional, finite disturbances leading to transition from laminar to turbulent flow is presented. The expansion method for analysis of the non-linear basic equation constitutes an extension and modification of the Stuart-Watson approach. Three points are considered essential; (i) the fundamental disturbance is assumed to be a spatially-growing wave instead of a temporally-growing one; (ii) the solution of the equation for mean-flow distortion consists of both an eigenfunction componenet with an arbitrary coefficient and a particular solution; (iii) the damping of the first approximation to the fundamental wave remains unknown through the formulation. These modifications lead to a relation between the amplitude of the fundamental wave and the magnitude of the mean-flow distortion, which propvides a lucid explanation of the non-linear mechanism of disturbances. It is also found that the damping of the fundamental wave does not vary linearly with the square of the amplitude but varies according to a more complicated law. The method is applied to plane Poiseuille flow and the numerical results are obtained for a wide range of frequency and Reynolds number.
資料番号: NALTR0332000
レポート番号: NAL TR-332
一次資料へのリンクURLhttps://jaxa.repo.nii.ac.jp/?action=repository_action_common_download&item_id=44578&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