Non-Linearity and Non-Periodicity of a Two-Dimensional Disturbance in Plane Poiseuille Flow
-
- Ikeda Motoyoshi
- Institute of Space and Aeronautical Science, University of Tokyo
書誌事項
- タイトル別名
-
- Non Linearity and Non Periodicity of a
この論文をさがす
抄録
By means of the Fourier transform and an amplitude expansion, the Navier-Stokes equation is reduced to a weakly non-linear equation for \ ildeE, the slowly varying complex amplitude of an envelope of a quasi-monochromatic disturbance. The equation retains non-linear terms consisting of the spatial derivative of the amplitude, \ ildeE∂|\ ildeE|2⁄∂x and |\ ildeE|2∂\ ildeE⁄∂x, which have been omitted as higher order terms in the third order analysis deriving the non-linear Schrödinger type equation. The coefficients of these terms are revealed to be much larger than that of \ ildeE|\ ildeE|2. This fact tells us that the behavior of the disturbance is influenced by very weak non-periodicity. Numerical calculations of the amplitude equation are performed in order to examine this behavior.
収録刊行物
-
- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
-
Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 42 (5), 1764-1771, 1977
一般社団法人 日本物理学会
- Tweet
詳細情報 詳細情報について
-
- CRID
- 1390282679167338752
-
- NII論文ID
- 110001963369
- 210000086445
- 130003895240
-
- NII書誌ID
- AA00704814
-
- BIBCODE
- 1977JPSJ...42.1764I
-
- ISSN
- 13474073
- 00319015
-
- NDL書誌ID
- 1824259
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可