NON-LINEAR INSTABILITY IN PLANE POISEUILLE FLOW - A QUANTITATIVE COMPARISON BETWEEN THE METHODS OF AMPLITUDE EXPANSIONS AND THE METHOD OF MULTIPLE SCALES

被引：10

作者：

WEINSTEIN, M ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT MATH,LONDON SW7 2BZ,ENGLAND

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1981年 / 375卷 / 1761期

关键词：

D O I：

10.1098/rspa.1981.0044

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：155 / 167

页数：13

共 37 条

[1] NON-LINEAR INSTABILITY THEORY FOR A WAVE SYSTEM IN PLANE POISEUILLE FLOW
STEWARTSON, K
STUART, JT
JOURNAL OF FLUID MECHANICS, 1971, 48 (AUG16) : 529 - +
[2] On the non-linear instability of fiber suspensions in a Poiseuille flow
Wan, Zhanhong
Lin, Jianzhong
Xiong, Hongbing
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (09) : 898 - 907
[3] NON-LINEAR THEORY OF UNSTABLE PLANE POISEUILLE FLOW
DOWELL, EH
JOURNAL OF FLUID MECHANICS, 1969, 38 : 401 - &
[4] Linear and non-linear simulations of feedback control in plane Poiseuille flow
McKernan, J.
Papadakis, G.
Whidborne, J. F.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 59 (08) : 907 - 925
[5] INSTABILITY OF PLANE POISEUILLE FLOW CAUSED BY A NON-LINEAR, NONPERIODIC AND 3-DIMENSIONAL DISTURBANCE
IKEDA, M
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1978, 44 (02) : 667 - 675
[6] ON THE NON-LINEAR THEORY OF STABILITY OF PLANE POISEUILLE FLOW IN THE SUBCRITICAL RANGE
ZHOU, H
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 381 (1781): : 407 - 418
[7] METHOD OF MULTIPLE SCALES AND NON-LINEAR DISPERSIVE WAVES
NAYFEH, AH
HASSAN, SD
JOURNAL OF FLUID MECHANICS, 1971, 48 (AUG16) : 463 - &
[8] Couette-Poiseuille flow based non-linear flow over a square cylinder near plane wall
Bhatt, Rajesh
Maiti, Dilip K.
Alam, Md. Mahbub
Rehman, S.
WIND AND STRUCTURES, 2018, 26 (05) : 331 - 341
[9] Periodic solutions of strongly non-linear oscillators by the multiple scales method
Lakrad, F
Belhaq, M
JOURNAL OF SOUND AND VIBRATION, 2002, 258 (04) : 677 - 700
[10] Comparison Between Linear and Non-Linear Fitting Methods in Adsorption Process
Yang, Fan
Song, Xiao-Jie
Wei, Wen-Mei
Yao, Shun
Xia, Chuan-Kai
Yang, Zi-Zhen
ASIAN JOURNAL OF CHEMISTRY, 2014, 26 (05) : 1521 - 1523

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