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

[31] MODEL FOR CHROMATIN SUBSTRUCTURE INCORPORATING SYMMETRY CONSIDERATIONS OF HISTONE OLIGOMERS
HYDE, JE
WALKER, IO
NUCLEIC ACIDS RESEARCH, 1975, 2 (03) : 405 - 421
[32] PREDICTION OF CORONARY BLOOD-FLOW WITH A NUMERICAL-MODEL BASED ON COLLAPSIBLE TUBE DYNAMICS
GUIOT, C
PIANTA, PG
CANCELLI, C
PEDLEY, TJ
AMERICAN JOURNAL OF PHYSIOLOGY, 1990, 258 (05): : H1606 - H1614
[33] Multiple states for flow through a collapsible tube with discontinuities
Siviglia, A.
Toffolon, M.
JOURNAL OF FLUID MECHANICS, 2014, 761 : 105 - 122
[34] Dynamics of a buoyant collapsible tube under a free surface
Aashish, R.
Deepu, P.
Kumar, Subrata
EXPERIMENTAL THERMAL AND FLUID SCIENCE, 2024, 154
[35] Effect of tube length on the buckling pressure of collapsible tubes
Zarandi, M. Amin F.
Garman, Kevin
Rhee, John S.
Woodson, B. Tucker
Garcia, Guilherme J. M.
COMPUTERS IN BIOLOGY AND MEDICINE, 2021, 136
[36] SELF-EXCITED OSCILLATION OF FLOW IN COLLAPSIBLE TUBE
OHBA, K
SHIMANAKA, Y
KAJIYA, F
HOKI, N
TOMONAGA, G
BIORHEOLOGY, 1982, 19 (1-2) : 378 - 378
[37] SELF-EXCITED OSCILLATION OF FLOW IN COLLAPSIBLE TUBE
OHBA, K
KAJIYA, F
HOKI, N
TOMONAGA, G
HIRAMATSU, O
MITO, K
KAGIYAMA, M
KONDO, Y
BIORHEOLOGY, 1981, 18 (02) : 279 - 280
[38] Behaviour of micropiles in collapsible loess under tension or compression load
Qian, Zeng-zhen
Lu, Xian-long
Yang, Wen-zhi
Cui, Qiang
GEOMECHANICS AND ENGINEERING, 2014, 7 (05) : 477 - 493
[39] Mechanical Property Model for Fiber Filled Thermoplastics Incorporating Surface Tension
Bruchmueller, Matthias
Geis, Julius
Koch, Michael
PROCEEDINGS OF THE EUROPE/AFRICA CONFERENCE DRESDEN 2017 - POLYMER PROCESSING SOCIETY PPS, 2019, 2055
[40] A one-dimensional unsteady separable and reattachable flow model for collapsible tube-flow analysis
Ikeda, T
Matsuzaki, Y
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1999, 121 (02): : 153 - 159

← 1 2 3 4 5 →