Symmetry classification of collapsible tube model incorporating tension

被引：1

作者：

Molati, M. ^{[1
,2
]}

Mahomed, F. M. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Computat & Appl Math, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Wits, South Africa

[2] Natl Univ Lesotho, Dept Math & Comp Sci, Maseru, Lesotho

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 01期

关键词：

Group classification; Lie algebra; Collapsible tube; EQUATIONS; FLOW; AIRWAY; GAS;

D O I：

10.1016/j.cnsns.2011.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this work is to perform a complete symmetry classification of a collapsible tube model which incorporates the constant longitudinal tension and curvature of the tube wall. The direct method of group classification is used to specify the functional forms of the arbitrary elements (functions) which appear in the model under consideration. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：93 / 99

页数：7

共 50 条

[1] The effect of longitudinal tension on flow in collapsible tube
Sakurai, A
Ohba, K
Futagami, Y
Tsujimoto, M
JSME INTERNATIONAL JOURNAL SERIES B-FLUIDS AND THERMAL ENGINEERING, 1996, 39 (02) : 361 - 367
[2] Effect of longitudinal tension on flow in collapsible tube
Kansai Univ, Osaka, Japan
JSME Int J Ser B, 2 (361-367):
[3] Effect of longitudinal tension on flow in collapsible tube
Sakurai, Atsushi
Ohba, Kenkichi
Futagami, Yoshiyuki
Tsujimoto, Masami
Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, 1994, 60 (579): : 3642 - 3647
[4] A MATHEMATICAL-MODEL OF UNSTEADY COLLAPSIBLE TUBE BEHAVIOR
BERTRAM, CD
PEDLEY, TJ
JOURNAL OF BIOMECHANICS, 1982, 15 (01) : 39 - 50
[5] CHAOTIC OSCILLATIONS IN A SIMPLE COLLAPSIBLE-TUBE MODEL
JENSEN, OE
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1992, 114 (01): : 55 - 59
[6] Filling a collapsible tube
Fullana, JM
Cros, F
Flaud, P
Zaleski, S
JOURNAL OF FLUID MECHANICS, 2003, 494 : 285 - 296
[7] FLOW THROUGH A COLLAPSIBLE TUBE - EXPERIMENTAL ANALYSIS AND MATHEMATICAL MODEL
KATZ, AI
CHEN, Y
MORENO, AH
BIOPHYSICAL JOURNAL, 1969, 9 (10) : 1261 - &
[8] SYMMETRY ISSUES IN COLLAPSIBLE ORIGAMI
Sternberg, Saadya
SYMMETRY-CULTURE AND SCIENCE, 2010, 21 (04): : 345 - 364
[9] COLLAPSIBLE ORIGAMI: SYMMETRY AND ASYMMETRY
Sternberg, Saadya
SYMMETRY-CULTURE AND SCIENCE, 2009, 20 (1-4): : 345 - 360
[10] A study of the bifurcation behaviour of a model of flow through a collapsible tube
Armitstead, JP
Bertram, CD
Jensen, OE
BULLETIN OF MATHEMATICAL BIOLOGY, 1996, 58 (04) : 611 - 641

← 1 2 3 4 5 →