周期的に配列されたバッフルをもつ2次元流路内流れのカオス現象

URI http://harp.lib.hiroshima-u.ac.jp/it-hiroshima/metadata/4310
ファイル
タイトル
周期的に配列されたバッフルをもつ2次元流路内流れのカオス現象
別タイトル
Chaotic phenomena of flow in two-dimensional channel with periodically baffled elements
著者
氏名 中西 助次
ヨミ ナカニシ スケツグ
別名 Nakanishi Suketsugu
氏名 品川 至英
ヨミ シナガワ ヨシヒデ
別名 Shinagawa Yoshihide
氏名 奥本 浩
ヨミ オクモト ヒロシ
別名 Okumoto Hiroshi
キーワード
Pulsatile flow
Autonomous oscilating flow
Chaotic phenomena
Chaotic mixing
Dynamical system
Hamiltonian system
Poincare map
Liapunov exponents
Eulerian representation
Lagrangian representation
抄録

The objective of this work is a numerical analysis of chaotic mixing in the two-dimensional channel flows. For the analytical flow models, the pulsatile flow through a rough-wall channel and the autonomous oscilating flow through a buffled channel were considered. As the considered flow models are two-deimensional, we have a stream function ψ(x,y,t), and the equations of motion of an advected particle are simply x=аψ/ay, y=-aψ/ax. These equations have the form of Hamilton's canomical equations for a dynamical system with one or two degree of freedom. Chaotic phenomena for the flow models were investigated by using Poincare map and Liapunov exponents which are typical method for analysing dynamical systems. In addition, the relation of flows between the Eulerian and the Lagrangian representations was discussed. The obtained results showed that the chaotic motion of an advected particle was demonstrated even when simply flow structure of a time-periodically fluctuated flow, from view of Eulerian representation, then chaotic mixing (stretching and folding of fluid element) can be produced consequently.

掲載雑誌名
広島工業大学研究紀要
32
開始ページ
33
終了ページ
43
出版年月日
1998
出版者
広島工業大学
ISSN
03851672
NCID
AN0021271X
本文言語
日本語
資料タイプ
紀要論文
著者版フラグ
出版社版
旧URI
区分
it-hiroshima