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Volumn 705, Issue , 2012, Pages 348-370

Stability and energy budget of pressure-driven collapsible channel flows

Author keywords

flow structure interactions; flow vessel interactions; parametric instability

Indexed keywords

CHANNEL FLOW; DROPS; FLOW INTERACTIONS; KINETIC ENERGY; KINETICS; NUMERICAL METHODS; PRESSURE DROP; SYSTEM STABILITY; WALL FLOW;

EID: 84868202258     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.254     Document Type: Article
Times cited : (26)

References (33)
  • 1
    • 0020004993 scopus 로고
    • 2 modes of instability in a thick-walled collapsible tube conveying a flow
    • BERTRAM, C. D. 1982 2 modes of instability in a thick-walled collapsible tube conveying a flow. J. Biomech. 15 (3), 223-224.
    • (1982) J. Biomech , vol.15 , Issue.3 , pp. 223-224
    • Bertram, C.D.1
  • 2
    • 0037532823 scopus 로고    scopus 로고
    • Flow-rate limitation in a uniform thin-walled collapsible tube, with comparison to a uniform thick-walled tube and a tube of tapering thickness
    • BERTRAM, C. D. & ELLIOTT, N. S. J. 2003 Flow-rate limitation in a uniform thin-walled collapsible tube, with comparison to a uniform thick-walled tube and a tube of tapering thickness. J. Fluids Struct. 17 (4), 541-559.
    • (2003) J. Fluids Struct , vol.17 , Issue.4 , pp. 541-559
    • Bertram, C.D.1    Elliott, N.S.J.2
  • 3
    • 0020077257 scopus 로고
    • A mathematical-model of unsteady collapsible tube behavior
    • BERTRAM, C. D. & PEDLEY, T. J. 1982 A mathematical-model of unsteady collapsible tube behavior. J. Biomech. 15 (1), 39-50.
    • (1982) J. Biomech , vol.15 , Issue.1 , pp. 39-50
    • Bertram, C.D.1    Pedley, T.J.2
  • 4
    • 0001003112 scopus 로고
    • Mapping of instabilities for flow through collapsed tubes of differing length
    • BERTRAM, C. D., RAYMOND, C. J. & PEDLEY, T. J. 1990 Mapping of instabilities for flow through collapsed tubes of differing length. J. Fluids Struct. 4 (2), 125-153.
    • (1990) J. Fluids Struct , vol.4 , Issue.2 , pp. 125-153
    • Bertram, C.D.1    Raymond, C.J.2    Pedley, T.J.3
  • 5
    • 0037230693 scopus 로고    scopus 로고
    • A fluid-beam model for flow in collapsible channels
    • CAI, Z. X. & LUO, X. Y. 2003 A fluid-beam model for flow in collapsible channels. J. Fluids Struct. 17, 123-144.
    • (2003) J. Fluids Struct , vol.17 , pp. 123-144
    • Cai, Z.X.1    Luo, X.Y.2
  • 6
    • 0022111720 scopus 로고
    • A separated-flow model for collapsible-tube oscillations
    • CANCELLI, C. & PEDLEY, T. J. 1985 A separated-flow model for collapsible-tube oscillations. J. Fluid Mech. 157, 375-404.
    • (1985) J. Fluid Mech , vol.157 , pp. 375-404
    • Cancelli, C.1    Pedley, T.J.2
  • 7
    • 0014579516 scopus 로고
    • Pressure-flow relationships in collapsible tubes
    • CONRAD, W. A. 1969 Pressure-flow relationships in collapsible tubes. IEEE Trans. Biomed. Engng 16 (4), 284-295.
    • (1969) IEEE Trans. Biomed. Engng , vol.16 , Issue.4 , pp. 284-295
    • Conrad, W.A.1
  • 8
    • 60349106528 scopus 로고    scopus 로고
    • Perspective on the geometric conservation law and finite element methods for ALE simulations of incompressible flow
    • E TIENNE, S., GARON, A. & PELLETIER, D. 2009 Perspective on the geometric conservation law and finite element methods for ALE simulations of incompressible flow. J. Comput. Phys. 228 (7), 2313-2333.
    • (2009) J. Comput. Phys , vol.228 , Issue.7 , pp. 2313-2333
    • Tienne S, E.1    Garon, A.2    Pelletier, D.3
  • 9
    • 84976849615 scopus 로고
    • The QZ algorithm to solve the generalized eigenvalue problem for complex matrices
    • GARBOW, B. S. 1978 The QZ algorithm to solve the generalized eigenvalue problem for complex matrices. ACM Trans. Math. Softw. 4 (4), 404-410.
    • (1978) ACM Trans. Math. Softw , vol.4 , Issue.4 , pp. 404-410
    • Garbow, B.S.1
  • 10
    • 0037924361 scopus 로고    scopus 로고
    • Steady finite-Reynolds-number flows in three-dimensional collapsible tubes
    • HAZEL, A. L. & HEIL, M. 2003 Steady finite-Reynolds-number flows in three-dimensional collapsible tubes. J. Fluid Mech. 486, 79-103.
    • (2003) J. Fluid Mech , vol.486 , pp. 79-103
    • Hazel, A.L.1    Heil, M.2
  • 11
    • 42349088342 scopus 로고    scopus 로고
    • How rapidly oscillating collapsible tubes extract energy from a viscous mean flow
    • HEIL, M. & WATERS, S. L. 2008 How rapidly oscillating collapsible tubes extract energy from a viscous mean flow. J. Fluid Mech. 601, 199-227.
    • (2008) J. Fluid Mech , vol.601 , pp. 199-227
    • Heil, M.1    Waters, S.L.2
  • 12
    • 84990424053 scopus 로고
    • Synthesis of voiced sounds from a two-mass model of the vocal cords
    • ISHIZAKA, K. 1972 Synthesis of voiced sounds from a two-mass model of the vocal cords. Bell Syst. Tech. J. 51, 1233-1268.
    • (1972) Bell Syst. Tech. J , vol.51 , pp. 1233-1268
    • Ishizaka, K.1
  • 13
    • 0025517091 scopus 로고
    • Instabilities of flow in a collapsed tube
    • JENSEN, O. E. 1990 Instabilities of flow in a collapsed tube. J. Fluid Mech. 220, 623-659.
    • (1990) J. Fluid Mech , vol.220 , pp. 623-659
    • Jensen, O.E.1
  • 14
    • 0038476385 scopus 로고    scopus 로고
    • High-frequency self-excited oscillations in a collapsible-channel flow
    • JENSEN, O. E. & HEIL, M. 2003 High-frequency self-excited oscillations in a collapsible-channel flow. J. Fluid Mech. 481, 235-268.
    • (2003) J. Fluid Mech , vol.481 , pp. 235-268
    • Jensen, O.E.1    Heil, M.2
  • 15
    • 0018547282 scopus 로고
    • Unsteady flow in a collapsible tube subjected to external pressure or body forces
    • KAMM, R. D. & SHAPIRO, A. H. 1979 Unsteady flow in a collapsible tube subjected to external pressure or body forces. J. Fluid Mech. 95 (1), 1-78.
    • (1979) J. Fluid Mech , vol.95 , Issue.1 , pp. 1-78
    • Kamm, R.D.1    Shapiro, A.H.2
  • 16
    • 0014591512 scopus 로고
    • Flow through a collapsible tube: Experimental analysis and mathematical model
    • KATZ, A. I., CHEN, Y. & MORENO, A. H. 1969 Flow through a collapsible tube: experimental analysis and mathematical model. Biophys. J. 9 (10), 1261-1279.
    • (1969) Biophys. J , vol.9 , Issue.10 , pp. 1261-1279
    • Katz, A.I.1    Chen, Y.2    Moreno, A.H.3
  • 17
    • 68749107122 scopus 로고    scopus 로고
    • Sensitivity of unsteady collapsible channel flows to modelling assumptions
    • LIU, H. F., LUO, X. Y., CAI, Z. X. & PEDLEY, T. J. 2009 Sensitivity of unsteady collapsible channel flows to modelling assumptions. Commun. Numer. Meth. Engng 25 (5), 483-504.
    • (2009) Commun. Numer. Meth. Engng , vol.25 , Issue.5 , pp. 483-504
    • Liu, H.F.1    Luo, X.Y.2    Cai, Z.X.3    Pedley, T.J.4
  • 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. & PEDLEY, T. J. 2008 The cascade structure of linear instability in collapsible channel flows. J. Fluid Mech. 600, 45-76.
    • (2008) J. Fluid Mech , vol.600 , pp. 45-76
    • Luo, X.Y.1    Cai, Z.X.2    G, L.I.W.3    Pedley, T.J.4
  • 19
    • 0000760760 scopus 로고
    • A numerical simulation of steady flow in a 2-D collapsible channel
    • LUO, X. Y. & PEDLEY, T. J. 1995 A numerical simulation of steady flow in a 2-D collapsible channel. J. Fluids Struct. 9 (2), 149-174.
    • (1995) J. Fluids Struct , vol.9 , Issue.2 , pp. 149-174
    • Luo, X.Y.1    Pedley, T.J.2
  • 20
    • 0030149024 scopus 로고    scopus 로고
    • A numerical simulation of unsteady flow in a two-dimensional collapsible channel
    • LUO, X. Y. & PEDLEY, T. J. 1996 A numerical simulation of unsteady flow in a two-dimensional collapsible channel. J. Fluid Mech. 314, 191-225.
    • (1996) J. Fluid Mech , vol.314 , pp. 191-225
    • Luo, X.Y.1    Pedley, T.J.2
  • 21
    • 0032075062 scopus 로고    scopus 로고
    • The effects of wall inertia on flow in a two-dimensional collapsible channel
    • LUO, X. Y. & PEDLEY, T. J. 1998 The effects of wall inertia on flow in a two-dimensional collapsible channel. J. Fluid Mech. 363, 253-280.
    • (1998) J. Fluid Mech , vol.363 , pp. 253-280
    • Luo, X.Y.1    Pedley, T.J.2
  • 22
    • 0033793459 scopus 로고    scopus 로고
    • Multiple solutions and flow limitation in collapsible channel flows
    • LUO, X. Y. & PEDLEY, T. J. 2000 Multiple solutions and flow limitation in collapsible channel flows. J. Fluid Mech. 420, 301-324.
    • (2000) J. Fluid Mech , vol.420 , pp. 301-324
    • Luo, X.Y.1    Pedley, T.J.2
  • 23
    • 23844528824 scopus 로고    scopus 로고
    • Three-dimensional collapse and steady flow in thick-walled flexible tubes
    • MARZO, A., LUO, X. Y. & BERTRAM, C. D. 2005 Three-dimensional collapse and steady flow in thick-walled flexible tubes. J. Fluids Struct. 20 (6), 817-835.
    • (2005) J. Fluids Struct , vol.20 , Issue.6 , pp. 817-835
    • Marzo, A.1    Luo, X.Y.2    Bertram, C.D.3
  • 24
    • 0032330150 scopus 로고    scopus 로고
    • Modelling flow and oscillations in collapsible tubes
    • PEDLEY, T. J. & LUO, X. Y. 1998 Modelling flow and oscillations in collapsible tubes. Theor. Comput. Fluid Dyn. 10 (1), 277-294.
    • (1998) Theor. Comput. Fluid Dyn , vol.10 , Issue.1 , pp. 277-294
    • Pedley, T.J.1    Luo, X.Y.2
  • 25
    • 0017526543 scopus 로고
    • Steady flow in collapsible tubes
    • SHAPIRO, A. H. 1977 Steady flow in collapsible tubes. J. Biomech. Engng 99, 126.
    • (1977) J. Biomech. Engng , vol.99 , pp. 126
    • Shapiro, A.H.1
  • 26
    • 78649957564 scopus 로고    scopus 로고
    • Sloshing and slamming oscillations in collapsible channel flow
    • STEWART, P. S., HEIL, M., WATERS, S. L. & JENSEN, O. E. 2010 Sloshing and slamming oscillations in collapsible channel flow. J. Fluid Mech. 662, 288-319.
    • (2010) J. Fluid Mech , vol.662 , pp. 288-319
    • Stewart, P.S.1    Heil, M.2    Waters, S.L.3    Jensen, O.E.4
  • 27
    • 67349180691 scopus 로고    scopus 로고
    • Local and global instabilities of flow in a flexible-walled channel
    • STEWART, P. S., WATERS, S. L. & JENSEN, O. E. 2009 Local and global instabilities of flow in a flexible-walled channel. Eur. J. Mech. B/Fluids 28 (4), 541-557.
    • (2009) Eur. J. Mech. B/Fluids , vol.28 , Issue.4 , pp. 541-557
    • Stewart, P.S.1    Waters, S.L.2    Jensen, O.E.3
  • 28
    • 77952368030 scopus 로고    scopus 로고
    • The energetics of flow through a rapidly oscillating tube. Part 2. Application to an elliptical tube
    • WHITTAKER, R. J., HEIL, M., BOYLE, J., JENSEN, O. E. & WATERS, S. L. 2010a The energetics of flow through a rapidly oscillating tube. Part 2. Application to an elliptical tube. J. Fluid Mech. 648, 123-153.
    • (2010) J. Fluid Mech , vol.648 , pp. 123-153
    • Whittaker, R.J.1    Heil, M.2    Boyle, J.3    Jensen, O.E.4    Waters, S.L.5
  • 30
    • 78649969462 scopus 로고    scopus 로고
    • Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes
    • WHITTAKER, R. J., HEIL, M., JENSEN, O. E. & WATERS, S. L. 2010c Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes. Proc. R. Soc. Lond. A 466, 3635.
    • (2010) Proc. R. Soc. Lond A , vol.466 , pp. 3635
    • Whittaker, R.J.1    Heil, M.2    Jensen, O.E.3    Waters, S.L.4
  • 31
    • 77952414032 scopus 로고    scopus 로고
    • The energetics of flow through a rapidly oscillating tube. Part 1. General theory
    • WHITTAKER, R. J., WATERS, S. L., JENSEN, O. E., BOYLE, J. & HEIL, M. 2010d The energetics of flow through a rapidly oscillating tube. Part 1. General theory. J. Fluid Mech. 648, 83-121.
    • (2010) J. Fluid Mech , vol.648 , pp. 83-121
    • Whittaker, R.J.1    Waters, S.L.2    Jensen, O.E.3    Boyle, J.4    Heil, M.5
  • 32
    • 41649090333 scopus 로고    scopus 로고
    • Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure
    • ZHU, Y., LUO, X. Y. & OGDEN, R. W. 2008 Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure. Intl J. Solids Struct. 45 (11-12), 3410-3429.
    • (2008) Intl J. Solids Struct , vol.45 , Issue.11-12 , pp. 3410-3429
    • Zhu, Y.1    Luo, X.Y.2    Ogden, R.W.3
  • 33
    • 74449085797 scopus 로고    scopus 로고
    • Nonlinear axisymmetric deformations of an elastic tube under external pressure
    • ZHU, Y., LUO, X. Y. & OGDEN, R. W. 2010 Nonlinear axisymmetric deformations of an elastic tube under external pressure. Eur. J. Mech. A/Solids 29, 216-229.
    • (2010) Eur. J. Mech. A/Solids , vol.29 , pp. 216-229
    • Zhu, Y.1    Luo, X.Y.2    Ogden, R.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.