메뉴 건너뛰기




Volumn 28, Issue 4, 2009, Pages 541-557

Local and global instabilities of flow in a flexible-walled channel

Author keywords

Compliant channel; Convective instabilities; Self excited oscillations; Wave reflections

Indexed keywords

AMPLITUDE DISTURBANCES; BASIC FLOWS; BOUNDARY-LAYER EQUATIONS; COMPLIANT CHANNEL; CONVECTIVE INSTABILITIES; FLOW-THROUGH; GLOBAL INSTABILITIES; INTEGRAL FORMS; LOCAL PROBLEMS; MEAN FLOWS; OSCILLATORY INSTABILITIES; PRESSURE DIFFERENCES; PRIMARY INSTABILITIES; REYNOLDS; SELF-EXCITED OSCILLATIONS; WAVE REFLECTIONS;

EID: 67349180691     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2009.03.002     Document Type: Article
Times cited : (65)

References (52)
  • 3
    • 0001003112 scopus 로고
    • Mapping of instabilities for flow through collapsed tubes of different length
    • Bertram C.D., Raymond C.J., and Pedley T.J. Mapping of instabilities for flow through collapsed tubes of different length. J. Fluids Struct. 4 (1990) 125-154
    • (1990) J. Fluids Struct. , vol.4 , pp. 125-154
    • Bertram, C.D.1    Raymond, C.J.2    Pedley, T.J.3
  • 4
    • 0000447819 scopus 로고
    • Application of non-linear dynamics concepts to the analysis of self-excited oscillations of a collapsible tube conveying a fluid
    • Bertram C.D., Raymond C.J., and Pedley T.J. Application of non-linear dynamics concepts to the analysis of self-excited oscillations of a collapsible tube conveying a fluid. J. Fluids Struct. 5 (1991) 391-426
    • (1991) J. Fluids Struct. , vol.5 , pp. 391-426
    • Bertram, C.D.1    Raymond, C.J.2    Pedley, T.J.3
  • 5
    • 0031357325 scopus 로고    scopus 로고
    • Instabilities in a plane channel flow between compliant walls
    • Davies C., and Carpenter P.W. Instabilities in a plane channel flow between compliant walls. J. Fluid Mech. 352 (1997) 205-243
    • (1997) J. Fluid Mech. , vol.352 , pp. 205-243
    • Davies, C.1    Carpenter, P.W.2
  • 6
    • 22544446817 scopus 로고    scopus 로고
    • Convective and absolute instabilities of flow over compliant walls
    • Carpenter P.W., and Pedley T.J. (Eds), Kluwer
    • Davies C. Convective and absolute instabilities of flow over compliant walls. In: Carpenter P.W., and Pedley T.J. (Eds). Flow Past Highly Compliant Boundaries and in Collapsible Tubes (2003), Kluwer 69-93
    • (2003) Flow Past Highly Compliant Boundaries and in Collapsible Tubes , pp. 69-93
    • Davies, C.1
  • 7
    • 0026816660 scopus 로고
    • Longitudinal tension variation in a collapsible channel: a new mechanism for the breakdown of steady flow
    • Pedley T.J. Longitudinal tension variation in a collapsible channel: a new mechanism for the breakdown of steady flow. Trans. ASME J. Biomech. Eng. 114 (1992) 60-67
    • (1992) Trans. ASME J. Biomech. Eng. , vol.114 , pp. 60-67
    • Pedley, T.J.1
  • 8
    • 0020077257 scopus 로고
    • A mathematical model of unsteady collapsible tube behaviour
    • Bertram C.D., and Pedley T.J. A mathematical model of unsteady collapsible tube behaviour. J. Biomech. 19 (1982) 39-50
    • (1982) J. Biomech. , vol.19 , pp. 39-50
    • Bertram, C.D.1    Pedley, T.J.2
  • 9
    • 0030198450 scopus 로고    scopus 로고
    • A study of the bifurcation behaviour of a model of flow through a collapsible tube
    • Armitstead J.P., Bertram C.D., and Jensen O.E. A study of the bifurcation behaviour of a model of flow through a collapsible tube. Bull. Math. Biol. 58 (1996) 611-641
    • (1996) Bull. Math. Biol. , vol.58 , pp. 611-641
    • Armitstead, J.P.1    Bertram, C.D.2    Jensen, O.E.3
  • 10
    • 0022111720 scopus 로고
    • A separated-flow model for collapsible-tube oscillations
    • Cancelli C., and Pedley T.J. A separated-flow model for collapsible-tube oscillations. J. Fluid Mech. 157 (1985) 375-404
    • (1985) J. Fluid Mech. , vol.157 , pp. 375-404
    • Cancelli, C.1    Pedley, T.J.2
  • 11
    • 0024739081 scopus 로고
    • The existence of steady flow in a collapsed tube
    • Jensen O.E., and Pedley T.J. The existence of steady flow in a collapsed tube. J. Fluid Mech. 206 (1989) 339-374
    • (1989) J. Fluid Mech. , vol.206 , pp. 339-374
    • Jensen, O.E.1    Pedley, T.J.2
  • 12
    • 0025517091 scopus 로고
    • Instabilities of flow in a collapsed tube
    • Jensen O.E. Instabilities of flow in a collapsed tube. J. Fluid Mech. 220 (1990) 623-659
    • (1990) J. Fluid Mech. , vol.220 , pp. 623-659
    • Jensen, O.E.1
  • 13
    • 0026816546 scopus 로고
    • Chaotic oscillations in a simple collapsible tube model
    • Jensen O.E. Chaotic oscillations in a simple collapsible tube model. Trans. ASME J. Biomech. Eng. 114 (1992) 55-59
    • (1992) Trans. ASME J. Biomech. Eng. , vol.114 , pp. 55-59
    • Jensen, O.E.1
  • 14
    • 0024711948 scopus 로고
    • Flow in a two-dimensional channel with rigid inlet and outlet
    • Matsuzaki Y., and Matsumoto T. Flow in a two-dimensional channel with rigid inlet and outlet. Trans. ASME J. Biomech. Eng. 111 (1989) 180-184
    • (1989) Trans. ASME J. Biomech. Eng. , vol.111 , pp. 180-184
    • Matsuzaki, Y.1    Matsumoto, T.2
  • 15
    • 0032144099 scopus 로고    scopus 로고
    • Numerical analysis for stability and self-excited oscillation in collapsible tube flow
    • Hayashi S., Hayase T., and Kawamura H. Numerical analysis for stability and self-excited oscillation in collapsible tube flow. Trans. ASME J. Biomech. Eng. 120 (1998) 468-475
    • (1998) Trans. ASME J. Biomech. Eng. , vol.120 , pp. 468-475
    • Hayashi, S.1    Hayase, T.2    Kawamura, H.3
  • 17
    • 0030149024 scopus 로고    scopus 로고
    • A numerical simulation of unsteady flow in a two-dimensional collapsible channel
    • Luo X.-Y., and Pedley T.J. A numerical simulation of unsteady flow in a two-dimensional collapsible channel. J. Fluid Mech. 314 (1996) 191-225
    • (1996) J. Fluid Mech. , vol.314 , pp. 191-225
    • Luo, X.-Y.1    Pedley, T.J.2
  • 18
    • 41549145795 scopus 로고    scopus 로고
    • The cascade structure of linear instability in collapsible channel flows
    • Luo X.-Y., Cai Z.X., Li W.G., and Pedley T.J. The cascade structure of linear instability in collapsible channel flows. J. Fluid Mech. 600 (2008) 45-76
    • (2008) J. Fluid Mech. , vol.600 , pp. 45-76
    • Luo, X.-Y.1    Cai, Z.X.2    Li, W.G.3    Pedley, T.J.4
  • 19
    • 0038476385 scopus 로고    scopus 로고
    • High-frequency self-excited oscillations in a collapsible-channel flow
    • Jensen O.E., and Heil M. High-frequency self-excited oscillations in a collapsible-channel flow. J. Fluid Mech. 481 (2003) 235-268
    • (2003) J. Fluid Mech. , vol.481 , pp. 235-268
    • Jensen, O.E.1    Heil, M.2
  • 20
    • 33644979090 scopus 로고    scopus 로고
    • Transverse flows in rapidly oscillating elastic cylindrical shells
    • Heil M., and Waters S.L. Transverse flows in rapidly oscillating elastic cylindrical shells. J. Fluid Mech. 547 (2006) 185-214
    • (2006) J. Fluid Mech. , vol.547 , pp. 185-214
    • Heil, M.1    Waters, S.L.2
  • 21
    • 42349088342 scopus 로고    scopus 로고
    • How rapidly oscillating collapsible tubes extract energy from a viscous mean flow
    • Heil M., and Waters S.L. How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. J. Fluid Mech. 601 (2008) 199-227
    • (2008) J. Fluid Mech. , vol.601 , pp. 199-227
    • Heil, M.1    Waters, S.L.2
  • 24
    • 0037924361 scopus 로고    scopus 로고
    • Steady finite-Reynolds-number flows in three-dimensional collapsible tubes
    • Hazel A.L., and Heil M. Steady finite-Reynolds-number flows in three-dimensional collapsible tubes. J. Fluid Mech. 486 (2003) 79-103
    • (2003) J. Fluid Mech. , vol.486 , pp. 79-103
    • Hazel, A.L.1    Heil, M.2
  • 25
    • 23844528824 scopus 로고    scopus 로고
    • Three-dimensional collapse and steady flow in thick-walled flexible tubes
    • Marzo A., Luo X.Y., and Bertram C.D. Three-dimensional collapse and steady flow in thick-walled flexible tubes. J. Fluids Struct. 20 (2005) 817-835
    • (2005) J. Fluids Struct. , vol.20 , pp. 817-835
    • Marzo, A.1    Luo, X.Y.2    Bertram, C.D.3
  • 26
    • 52549097859 scopus 로고    scopus 로고
    • Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches
    • Heil M., Hazel A.L., and Boyle J. Solvers for large-displacement fluid-structure interaction problems: segregated versus monolithic approaches. Comput. Mech. 43 (2008) 91-101
    • (2008) Comput. Mech. , vol.43 , pp. 91-101
    • Heil, M.1    Hazel, A.L.2    Boyle, J.3
  • 27
    • 0000760760 scopus 로고
    • A numerical simulation of steady flow in a 2-D collapsible channel
    • Luo X.-Y., and Pedley T.J. A numerical simulation of steady flow in a 2-D collapsible channel. J. Fluids Struct. 9 (1995) 149-197
    • (1995) J. Fluids Struct. , vol.9 , pp. 149-197
    • Luo, X.-Y.1    Pedley, T.J.2
  • 28
    • 0032075062 scopus 로고    scopus 로고
    • The effects of wall inertia on flow in a two-dimensional collapsible channel
    • Luo X.-Y., and Pedley T.J. The effects of wall inertia on flow in a two-dimensional collapsible channel. J. Fluid Mech. 363 (1998) 253-280
    • (1998) J. Fluid Mech. , vol.363 , pp. 253-280
    • Luo, X.-Y.1    Pedley, T.J.2
  • 29
    • 0028038448 scopus 로고
    • Traveling waves on vertical films: numerical analysis using the finite element method
    • Salamon T.R., Armstrong R.C., and Brown R.A. Traveling waves on vertical films: numerical analysis using the finite element method. Phys. Fluids 6 (1994) 2202-2220
    • (1994) Phys. Fluids , vol.6 , pp. 2202-2220
    • Salamon, T.R.1    Armstrong, R.C.2    Brown, R.A.3
  • 30
    • 0002001971 scopus 로고
    • Spatio-temporal instabilities in open and closed flows
    • Tirapegui E., and Villaroel D. (Eds), Reidel, Dordrecht
    • Huerre P. Spatio-temporal instabilities in open and closed flows. In: Tirapegui E., and Villaroel D. (Eds). Instabilities and Nonequilibrium Structures (1987), Reidel, Dordrecht 141-177
    • (1987) Instabilities and Nonequilibrium Structures , pp. 141-177
    • Huerre, P.1
  • 31
    • 0001774511 scopus 로고    scopus 로고
    • Hydrodynamic instabilities in open flows
    • Godrèche C., and Manneville P. (Eds), Cambridge University Press
    • Huerre P., and Rossi M. Hydrodynamic instabilities in open flows. In: Godrèche C., and Manneville P. (Eds). Hydrodynamics and Nonlinear Instabilities (1998), Cambridge University Press 81-294
    • (1998) Hydrodynamics and Nonlinear Instabilities , pp. 81-294
    • Huerre, P.1    Rossi, M.2
  • 32
    • 0001543843 scopus 로고
    • Effects of a flexible boundary on hydrodynamic stability
    • Benjamin T.B. Effects of a flexible boundary on hydrodynamic stability. J. Fluid Mech. 9 (1960) 513-532
    • (1960) J. Fluid Mech. , vol.9 , pp. 513-532
    • Benjamin, T.B.1
  • 33
    • 84958428049 scopus 로고
    • On the stability of a laminar incompressible boundary layer over a flexible surface
    • Landahl M.T. On the stability of a laminar incompressible boundary layer over a flexible surface. J. Fluid Mech. 13 (1962) 609-632
    • (1962) J. Fluid Mech. , vol.13 , pp. 609-632
    • Landahl, M.T.1
  • 34
    • 0000833147 scopus 로고
    • The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows
    • Benjamin T.B. The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows. J. Fluid Mech. 16 (1963) 436-450
    • (1963) J. Fluid Mech. , vol.16 , pp. 436-450
    • Benjamin, T.B.1
  • 35
    • 0001778457 scopus 로고
    • Wave conditions in the flow of thin layer of a viscous liquid under the action of gravity
    • Shkadov V.Ya. Wave conditions in the flow of thin layer of a viscous liquid under the action of gravity. Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1 (1967) 43-50
    • (1967) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza , vol.1 , pp. 43-50
    • Shkadov, V.Ya.1
  • 36
    • 0007786027 scopus 로고
    • Theory of wave flows of thin layer of a viscous liquid
    • Shkadov V.Ya. Theory of wave flows of thin layer of a viscous liquid. Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 2 (1968) 20-26
    • (1968) Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza , vol.2 , pp. 20-26
    • Shkadov, V.Ya.1
  • 37
    • 0026205884 scopus 로고
    • Nonlinear waves on the surface of a falling liquid film. Part 1. Waves of the first family and their stability
    • Trifonov Y.Y., and Tsvelodub O.Y. Nonlinear waves on the surface of a falling liquid film. Part 1. Waves of the first family and their stability. J. Fluid Mech. 229 (1991) 531-554
    • (1991) J. Fluid Mech. , vol.229 , pp. 531-554
    • Trifonov, Y.Y.1    Tsvelodub, O.Y.2
  • 38
    • 0026809793 scopus 로고
    • Nonlinear waves on the surface of a falling liquid film. Part 2. Bifurcations of the first-family waves and other types of non-linear waves
    • Trifonov Y.Y., and Tsvelodub O.Y. Nonlinear waves on the surface of a falling liquid film. Part 2. Bifurcations of the first-family waves and other types of non-linear waves. J. Fluid Mech. 244 (1992) 149-169
    • (1992) J. Fluid Mech. , vol.244 , pp. 149-169
    • Trifonov, Y.Y.1    Tsvelodub, O.Y.2
  • 39
    • 33749027789 scopus 로고    scopus 로고
    • Wave patterns in film flows: modelling and three dimensional waves
    • Scheid B., Ruyer-Quil C., and Manneville P. Wave patterns in film flows: modelling and three dimensional waves. J. Fluid Mech. 562 (2006) 183-222
    • (2006) J. Fluid Mech. , vol.562 , pp. 183-222
    • Scheid, B.1    Ruyer-Quil, C.2    Manneville, P.3
  • 40
    • 34548184424 scopus 로고    scopus 로고
    • A wave propagation model of blood flow in large vessels using an approximate velocity profile function
    • Bessems D., Rutten M., and van de Vosse F. A wave propagation model of blood flow in large vessels using an approximate velocity profile function. J. Fluid Mech. 580 (2007) 145-168
    • (2007) J. Fluid Mech. , vol.580 , pp. 145-168
    • Bessems, D.1    Rutten, M.2    van de Vosse, F.3
  • 41
    • 0002676176 scopus 로고    scopus 로고
    • Linear pulse structure and signalling in a film flow on an inclined plane
    • Brevdo L., Laure P., Dias F., and Bridges T.J. Linear pulse structure and signalling in a film flow on an inclined plane. J. Fluid Mech. 396 (1999) 37-71
    • (1999) J. Fluid Mech. , vol.396 , pp. 37-71
    • Brevdo, L.1    Laure, P.2    Dias, F.3    Bridges, T.J.4
  • 42
    • 33751027254 scopus 로고    scopus 로고
    • High-Reynolds-number steady flow in a collapsible channel
    • Guneratne J.C., and Pedley T.J. High-Reynolds-number steady flow in a collapsible channel. J. Fluid Mech. 569 (2006) 151-184
    • (2006) J. Fluid Mech. , vol.569 , pp. 151-184
    • Guneratne, J.C.1    Pedley, T.J.2
  • 44
    • 0025417695 scopus 로고
    • The vibrating ribbon problem revisited
    • Ashpis D.E., and Reshotko E. The vibrating ribbon problem revisited. J. Fluid Mech. 213 (1990) 531-547
    • (1990) J. Fluid Mech. , vol.213 , pp. 531-547
    • Ashpis, D.E.1    Reshotko, E.2
  • 45
    • 33750008594 scopus 로고    scopus 로고
    • The role of boundary conditions in the instability of one-dimensional systems
    • Doaré O., and de Langre E. The role of boundary conditions in the instability of one-dimensional systems. Eur. J. Mech. B/Fluids 25 (2006) 948-959
    • (2006) Eur. J. Mech. B/Fluids , vol.25 , pp. 948-959
    • Doaré, O.1    de Langre, E.2
  • 46
    • 2542610662 scopus 로고    scopus 로고
    • On the unsteady motion of a long fluid-loaded elastic plate with mean flow
    • Peake N. On the unsteady motion of a long fluid-loaded elastic plate with mean flow. J. Fluid Mech. 507 (2004) 335-366
    • (2004) J. Fluid Mech. , vol.507 , pp. 335-366
    • Peake, N.1
  • 47
    • 0022076344 scopus 로고
    • The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities
    • Carpenter P.W., and Garrad A.D. The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities. J. Fluid Mech. 155 (1985) 465-510
    • (1985) J. Fluid Mech. , vol.155 , pp. 465-510
    • Carpenter, P.W.1    Garrad, A.D.2
  • 48
    • 0022773906 scopus 로고
    • The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities
    • Carpenter P.W., and Garrad A.D. The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech. 170 (1986) 199-232
    • (1986) J. Fluid Mech. , vol.170 , pp. 199-232
    • Carpenter, P.W.1    Garrad, A.D.2
  • 49
    • 1542377629 scopus 로고    scopus 로고
    • The role of boundary conditions in a simple model of incipient vortex breakdown
    • Gallaire F., and Chomaz J.-M. The role of boundary conditions in a simple model of incipient vortex breakdown. Phys. Fluids 16 2 (2004) 274-286
    • (2004) Phys. Fluids , vol.16 , Issue.2 , pp. 274-286
    • Gallaire, F.1    Chomaz, J.-M.2
  • 51
    • 0035082689 scopus 로고    scopus 로고
    • On the absolute instability in a boundary layer with compliant coatings
    • Wiplier O., and Ehrenstein U. On the absolute instability in a boundary layer with compliant coatings. Eur. J. Mech. B/Fluids (2001) 127-144
    • (2001) Eur. J. Mech. B/Fluids , pp. 127-144
    • Wiplier, O.1    Ehrenstein, U.2
  • 52
    • 0036007259 scopus 로고    scopus 로고
    • Local and global stability of fluid-conveying pipes on elastic foundations
    • Doaré O., and de Langre E. Local and global stability of fluid-conveying pipes on elastic foundations. J. Fluids Struct. 16 1 (2002) 1-14
    • (2002) J. Fluids Struct. , vol.16 , Issue.1 , pp. 1-14
    • Doaré, O.1    de Langre, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.