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

[21] Dynamics of a collapsible tube with internal constriction
Kumar, Kamlesh
Prabhakaran, Deepu
PHYSICS OF FLUIDS, 2022, 34 (12)
[22] OSCILLATIONS IN OUTFLOW FROM A COLLAPSIBLE TUBE
GRIFFITHS, DJ
MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING, 1977, 15 (04) : 357 - 362
[23] Sound generation mechanisms in a collapsible tube
Laudato, Marco
Zea, Elias
Sundstrom, Elias
Boij, Susann
Mihaescu, Mihai
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2024, 155 (05): : 3345 - 3356
[24] THE COLLAPSIBLE POLYETHYLENE TUBE AS A FOOD PACKAGE
KEMP, JD
BALLANTYNE, RM
DUCKER, AJ
HAYNES, JW
FOOD TECHNOLOGY, 1960, 14 (03) : 131 - 134
[25] On the symmetry classification for a heat conduction model
Tracinà, R
WASCOM 2001: 11TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA, PROEEDINGS, 2002, : 579 - 584
[26] COLLAPSIBLE TUBE MAST TECHNOLOGY DEMONSTRATION PROGRAM
DELCAMPO, F
URIEN, JIR
SPACE TECHNOLOGY-INDUSTRIAL AND COMMERCIAL APPLICATIONS, 1993, 13 (01): : 61 - 76
[27] A MATHEMATICAL-MODEL OF FLOW THROUGH A COLLAPSIBLE TUBE .1. MODEL AND STEADY FLOW RESULTS
MORGAN, P
PARKER, KH
JOURNAL OF BIOMECHANICS, 1989, 22 (11-12) : 1263 - 1270
[28] Stabilization control of unstable vibration in a collapsible tube
Hara, Fumio
Hoshi, Shinya
Yonezawa, Masahiro
Goshi, Kayo
American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP, 2000, 414 : 103 - 108
[29] FLUID FLOW AND HEAT TRANSFER IN A COLLAPSIBLE TUBE
Odejide, S. A.
Aregbesola, Y. A. S.
Makinde, O. D.
ROMANIAN JOURNAL OF PHYSICS, 2008, 53 (3-4): : 499 - 506
[30] SELF-EXCITED OSCILLATION OF FLOW IN COLLAPSIBLE TUBE .6. (EFFECTS OF LONGITUDINAL TENSION AND SURROUNDING MEDIUM ON OSCILLATION)
SAKURAI, A
OHBA, K
KAJIYA, F
BIORHEOLOGY, 1986, 23 (05) : 537 - 537

← 1 2 3 4 5 →