메뉴 건너뛰기




Volumn 331, Issue , 1997, Pages 37-58

Flutter and long-wave instabilities in compliant channels conveying developing flows

Author keywords

[No Author keywords available]

Indexed keywords

MECHANICAL WAVES; NUMERICAL ANALYSIS; RESPIRATORY MECHANICS; SPEED; STABILITY; VELOCITY;

EID: 0030927401     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096003667     Document Type: Article
Times cited : (40)

References (55)
  • 2
    • 0001543843 scopus 로고
    • Effects of a flexible boundary on hydrodynamic stability
    • BENJAMIN, T. B. 1960 Effects of a flexible boundary on hydrodynamic stability. J. Fluid Mech. 9, 513-532.
    • (1960) J. Fluid Mech. , vol.9 , pp. 513-532
    • Benjamin, T.B.1
  • 3
    • 0000833147 scopus 로고
    • The threefold classification for unstable disturbances in flexible surfaces bounding inviscid flows
    • BENJAMIN, T. B. 1963 The threefold classification for unstable disturbances in flexible surfaces bounding inviscid flows. J. Fluid Mech. 16, 436-450.
    • (1963) J. Fluid Mech. , vol.16 , pp. 436-450
    • Benjamin, T.B.1
  • 5
    • 0020077257 scopus 로고
    • A mathematical model of unsteady collapsible tube behaviour
    • BERTRAM, C. D. & PEDLEY, T. J. 1982 A mathematical model of unsteady collapsible tube behaviour. J. Biomech. 15, 39-50.
    • (1982) J. Biomech. , vol.15 , pp. 39-50
    • Bertram, C.D.1    Pedley, T.J.2
  • 6
    • 0021757637 scopus 로고
    • The effect of a boundary layer on the hydroelastic instability of infinitely long plates
    • CARPENTER, P. W. 1984 The effect of a boundary layer on the hydroelastic instability of infinitely long plates. J. Sound Vib. 93 (3), 461-464.
    • (1984) J. Sound Vib. , vol.93 , Issue.3 , pp. 461-464
    • Carpenter, P.W.1
  • 7
    • 0000301675 scopus 로고
    • A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls
    • CARPENTER, P. W. & GAJJAR, J. S. B. 1990 A general theory for two-and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls. Theoret. Comput. Fluid Dyn. 1, 349-378.
    • (1990) Theoret. Comput. Fluid Dyn. , vol.1 , pp. 349-378
    • Carpenter, P.W.1    Gajjar, J.S.B.2
  • 8
    • 0022076344 scopus 로고
    • The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities
    • CARPENTER, P. W. & GARRAD, A. D. 1985 The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities. J. Fluid Mech. 155, 465-510.
    • (1985) J. Fluid Mech. , vol.155 , pp. 465-510
    • Carpenter, P.W.1    Garrad, A.D.2
  • 9
    • 0022773906 scopus 로고
    • The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow induced surface instabilities
    • CARPENTER, P. W. & GARRAD, A. D. 1986 The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 2. Flow induced surface instabilities. J. Fluid Mech. 170, 199-232.
    • (1986) J. Fluid Mech. , vol.170 , pp. 199-232
    • Carpenter, P.W.1    Garrad, A.D.2
  • 10
    • 0642282869 scopus 로고
    • Stability of the developing laminar flow in a parallel-plate channel
    • CHEN, T. S. & SPARROW, E. M. 1967 Stability of the developing laminar flow in a parallel-plate channel. J. Fluid Mech. 30, 209-224.
    • (1967) J. Fluid Mech. , vol.30 , pp. 209-224
    • Chen, T.S.1    Sparrow, E.M.2
  • 11
    • 10844296159 scopus 로고
    • Laminar flow in the inlet region of a straight channel
    • COLLINS, M. & SCHOWALTER, W. R. 1962 Laminar flow in the inlet region of a straight channel. Phys. Fluids 5, 1122-1124.
    • (1962) Phys. Fluids , vol.5 , pp. 1122-1124
    • Collins, M.1    Schowalter, W.R.2
  • 12
    • 0014579516 scopus 로고
    • Pressure-flow relationships in collapsible tubes
    • CONRAD, W. A. 1969 Pressure-flow relationships in collapsible tubes. IEEE Trans. on Bio-Medical Engng 16, 284-295.
    • (1969) IEEE Trans. on Bio-Medical Engng , vol.16 , pp. 284-295
    • Conrad, W.A.1
  • 13
    • 0026152303 scopus 로고
    • The continuous spectrum of the Orr-Sommerfeld equation: Note on a paper of Grosch & Salwen
    • CRAIK, A. D. D. 1991 The continuous spectrum of the Orr-Sommerfeld equation: note on a paper of Grosch & Salwen. J. Fluid Mech. 226, 565-574.
    • (1991) J. Fluid Mech. , vol.226 , pp. 565-574
    • Craik, A.D.D.1
  • 14
    • 0015682622 scopus 로고
    • A simple numerical method for solving Orr-Sommerfeld problems
    • DAVEY, A. 1973 A simple numerical method for solving Orr-Sommerfeld problems. Q. J. Mech. Appl. Maths. 26, 401-411.
    • (1973) Q. J. Mech. Appl. Maths , vol.26 , pp. 401-411
    • Davey, A.1
  • 15
    • 0026239098 scopus 로고
    • Oscillatory flow and mass transport in a flexible tube
    • DRAGON, C. A. & GROTBERG, J. B. 1991 Oscillatory flow and mass transport in a flexible tube. J. Fluid Mech. 231, 135-155.
    • (1991) J. Fluid Mech. , vol.231 , pp. 135-155
    • Dragon, C.A.1    Grotberg, J.B.2
  • 17
    • 0345511524 scopus 로고
    • Non-parallel stability of a flat-plate boundary layer using the complete Navier-Stokes equations
    • FASEL, F. & KONZELMANN, U. 1990 Non-parallel stability of a flat-plate boundary layer using the complete Navier-Stokes equations. J. Fluid Mech. 221, 311-347.
    • (1990) J. Fluid Mech. , vol.221 , pp. 311-347
    • Fasel, F.1    Konzelmann, U.2
  • 18
    • 0015476469 scopus 로고
    • Post buckling behavior of elastic tubes and rings with opposite sides in contact
    • FLAHERTY, J. E., KELLER, J. B. & RUBINOW, S. I. 1972 Post buckling behavior of elastic tubes and rings with opposite sides in contact. SIAM J. Appl. Maths 23, 446-455.
    • (1972) SIAM J. Appl. Maths , vol.23 , pp. 446-455
    • Flaherty, J.E.1    Keller, J.B.2    Rubinow, S.I.3
  • 19
    • 0022704369 scopus 로고
    • Boundary layer interactions with compliant coatings: An overview
    • GAD-EL-HAK, M. 1986 Boundary layer interactions with compliant coatings: An overview. Appl. Mech. Rev. 39, 511-523.
    • (1986) Appl. Mech. Rev. , vol.39 , pp. 511-523
    • Gad-El-Hak, M.1
  • 20
    • 0019697614 scopus 로고
    • Nonparallel effects on the stability of developing flow in a channel
    • GARG, V. K. & GUPTA, S. C. 1981 Nonparallel effects on the stability of developing flow in a channel. Phys. Fluids 24, 1752-1754.
    • (1981) Phys. Fluids , vol.24 , pp. 1752-1754
    • Garg, V.K.1    Gupta, S.C.2
  • 21
    • 0020272644 scopus 로고
    • A theoretical investigation of flow-induced instabilities in compliant coatings
    • GARRAD, A. D. & CARPENTER, P. W. 1982 A theoretical investigation of flow-induced instabilities in compliant coatings. J. Sound Vib. 85, 483-500.
    • (1982) J. Sound Vib. , vol.85 , pp. 483-500
    • Garrad, A.D.1    Carpenter, P.W.2
  • 22
    • 0346837979 scopus 로고
    • On the effects of boundary-layer growth on flow stability
    • GASTER, M. 1974 On the effects of boundary-layer growth on flow stability. J. Fluid Mech. 66, 465-480.
    • (1974) J. Fluid Mech. , vol.66 , pp. 465-480
    • Gaster, M.1
  • 23
    • 0023183086 scopus 로고
    • Forced expiratory wheezes are a manifestation of airway flow limitation
    • GAVRIELY, N., KELLY, K. B. & GROTBERG, J. B. 1987 Forced expiratory wheezes are a manifestation of airway flow limitation. J. Appl. Physiol. 62, 2398-2403.
    • (1987) J. Appl. Physiol. , vol.62 , pp. 2398-2403
    • Gavriely, N.1    Kelly, K.B.2    Grotberg, J.B.3
  • 24
    • 0024324623 scopus 로고
    • Flutter in flow-limited collapsible tubes: A mechanism for generation of wheezes
    • GAVRIELY, N., SHEE, T. R., CUGELL, D. W. & GROTBERG, J. B. 1989 Flutter in flow-limited collapsible tubes: a mechanism for generation of wheezes. J. Appl. Physiol. 66, 2251-2261.
    • (1989) J. Appl. Physiol. , vol.66 , pp. 2251-2261
    • Gavriely, N.1    Shee, T.R.2    Cugell, D.W.3    Grotberg, J.B.4
  • 25
    • 0017995284 scopus 로고
    • The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions
    • GROSCH, C. E. & SALWAN, H. 1978 The continuous spectrum of the Orr-Sommerfeld equation. Part 1. the spectrum and the eigenfunctions. J. Fluid Mech. 87, 33-54.
    • (1978) J. Fluid Mech. , vol.87 , pp. 33-54
    • Grosch, C.E.1    Salwan, H.2
  • 26
    • 0018835885 scopus 로고
    • Fluid-dynamic flapping of a collapsible channel: Sound generation and flow limitation
    • GROTBERG, J. B. & DAVIS, S. H. 1980 Fluid-dynamic flapping of a collapsible channel: sound generation and flow limitation. J. Biomech. 13, 219-230.
    • (1980) J. Biomech. , vol.13 , pp. 219-230
    • Grotberg, J.B.1    Davis, S.H.2
  • 27
    • 0024377848 scopus 로고
    • Flutter in collapsible tubes: A theoretical model of wheezes
    • GROTBERG, J. B. & GAVRIELY, N. 1989 Flutter in collapsible tubes: a theoretical model of wheezes. J. Appl. Physiol. 66, 2262-2273.
    • (1989) J. Appl. Physiol. , vol.66 , pp. 2262-2273
    • Grotberg, J.B.1    Gavriely, N.2
  • 28
    • 0020477131 scopus 로고
    • A subsonic flutter anomaly
    • GROTBERG, J. B. & REISS, E. L. 1982 A subsonic flutter anomaly. J. Sound Vib. 80, 444-446.
    • (1982) J. Sound Vib. , vol.80 , pp. 444-446
    • Grotberg, J.B.1    Reiss, E.L.2
  • 29
    • 0021757386 scopus 로고
    • Subsonic flapping flutter
    • GROTBERG, J. B. & REISS, E. L. 1984 Subsonic flapping flutter. J. Sound Vib. 92, 349-361.
    • (1984) J. Sound Vib. , vol.92 , pp. 349-361
    • Grotberg, J.B.1    Reiss, E.L.2
  • 30
    • 0022146382 scopus 로고
    • Compressible-flow channel flutter
    • GROTBERG, J. B. & SHEE, T. R. 1985 Compressible-flow channel flutter. J. Fluid Mech. 159, 175-193.
    • (1985) J. Fluid Mech. , vol.159 , pp. 175-193
    • Grotberg, J.B.1    Shee, T.R.2
  • 31
    • 0019548096 scopus 로고
    • Linear spatial stability of developing flow in a parallel plate channel
    • GUPTA, S. C. & GARG, V. K. 1981 Linear spatial stability of developing flow in a parallel plate channel. Trans. ASME J. Appl. Mech. 48, 192-194.
    • (1981) Trans. ASME J. Appl. Mech. , vol.48 , pp. 192-194
    • Gupta, S.C.1    Garg, V.K.2
  • 32
    • 0040114352 scopus 로고
    • Effect of a flexible wall on the stability of Poiseuille flow
    • HAINS, F. D. & PRICE, J. F. 1962 Effect of a flexible wall on the stability of Poiseuille flow. Phys. Fluids 5, 365.
    • (1962) Phys. Fluids , vol.5 , pp. 365
    • Hains, F.D.1    Price, J.F.2
  • 33
    • 0021418159 scopus 로고
    • On the effects of nonparallelism, three-dimensionality, and mode interaction in nonlinear boundary-layer stability
    • HALL, P. & SMITH, F. T. 1984 On the effects of nonparallelism, three-dimensionality, and mode interaction in nonlinear boundary-layer stability. Stud. Appl. Maths 70, 91-120.
    • (1984) Stud. Appl. Maths , vol.70 , pp. 91-120
    • Hall, P.1    Smith, F.T.2
  • 34
    • 11544260476 scopus 로고
    • The flat plate boundary layer. Part 1. Numerical integration of the mmerfeld equation
    • JORDINSON, R. 1970 The flat plate boundary layer. Part 1. Numerical integration of the mmerfeld equation. J. Fluid Mech. 43, 801-811.
    • (1970) J. Fluid Mech. , vol.43 , pp. 801-811
    • Jordinson, R.1
  • 35
    • 0024708560 scopus 로고
    • Flow in collapsible tubes: A brief review
    • KAMM, R. D. & PEDLEY, T. J. 1989 Flow in collapsible tubes: A brief review. J. Biomech. Engng 111, 177-179.
    • (1989) J. Biomech. Engng , vol.111 , pp. 177-179
    • Kamm, R.D.1    Pedley, T.J.2
  • 36
    • 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, 1261-1279.
    • (1969) Biophys. J. , vol.9 , pp. 1261-1279
    • Katz, A.I.1    Chen, Y.2    Moreno, A.H.3
  • 37
    • 84958428049 scopus 로고
    • On the stability of a laminar incompressible boundary layer over a flexible surface
    • LANDAHL, M. T. 1962 On the stability of a laminar incompressible boundary layer over a flexible surface. J. Fluid Mech. 13, 607-632.
    • (1962) J. Fluid Mech. , vol.13 , pp. 607-632
    • Landahl, M.T.1
  • 39
    • 0005844568 scopus 로고
    • Some mathematical problems in the theory of the stability of parallel flows
    • LIN, C. C. 1961 Some mathematical problems in the theory of the stability of parallel flows. J. Fluid Mech. 10, 430-438.
    • (1961) J. Fluid Mech. , vol.10 , pp. 430-438
    • Lin, C.C.1
  • 40
    • 0026797390 scopus 로고
    • A numerical simulation of the interaction of a compliant wall and inviscid flow
    • LUCEY, A. D. & CARPENTER, P. W. 1992 A numerical simulation of the interaction of a compliant wall and inviscid flow. J. Fluid Mech. 234, 121-146.
    • (1992) J. Fluid Mech. , vol.234 , pp. 121-146
    • Lucey, A.D.1    Carpenter, P.W.2
  • 41
    • 38249003147 scopus 로고
    • On the difference between the hydroelastic instability of infinite and very long compliant panels
    • LUCEY, A. D. & CARPENTER, P. W. 1993 On the difference between the hydroelastic instability of infinite and very long compliant panels. J. Sound Vib. 163, 176-181.
    • (1993) J. Sound Vib. , vol.163 , pp. 176-181
    • Lucey, A.D.1    Carpenter, P.W.2
  • 42
    • 0017435232 scopus 로고
    • Stability analysis of straight and buckled two-dimensional channels conveying an incompressible flow
    • MATSUZAKI, Y. & FUNG, Y. C. 1977 Stability analysis of straight and buckled two-dimensional channels conveying an incompressible flow. Trans. ASME J. Appl. Mech. 44, 548-552.
    • (1977) Trans. ASME J. Appl. Mech. , vol.44 , pp. 548-552
    • Matsuzaki, Y.1    Fung, Y.C.2
  • 43
    • 0014776109 scopus 로고
    • Pressure drop and fluid flow regime of air inspired into the human lung
    • OLSON, D. E., DART, G. A. & FILLEY, G. F. 1970 Pressure drop and fluid flow regime of air inspired into the human lung. J. Appl. Physiol. 28, 482-494.
    • (1970) J. Appl. Physiol. , vol.28 , pp. 482-494
    • Olson, D.E.1    Dart, G.A.2    Filley, G.F.3
  • 44
    • 0000163696 scopus 로고
    • Dynamic stability of pipes conveying fluid
    • PAÏDOUSSIS, M. P. & ISSID, N. T. 1974 Dynamic stability of pipes conveying fluid. J. Sound Vib. 33, 267-294.
    • (1974) J. Sound Vib. , vol.33 , pp. 267-294
    • Païdoussis, M.P.1    Issid, N.T.2
  • 45
    • 0023363219 scopus 로고
    • Dynamics of cylindrical shells containing fluid flows with a developing boundary layer
    • PAÏDOUSSIS, M. P. & MATEESCU, A. D. 1987 Dynamics of cylindrical shells containing fluid flows with a developing boundary layer. AIAA J. 26, 857-863.
    • (1987) AIAA J. , vol.26 , pp. 857-863
    • Païdoussis, M.P.1    Mateescu, A.D.2
  • 46
    • 85014538122 scopus 로고
    • Effect of finite thickness flexible boundary upon the stability of a Poiseuille flow
    • PIERUCCI, M. & MORALES, P. G. 1990 Effect of finite thickness flexible boundary upon the stability of a Poiseuille flow. Trans. ASME J. Appl. Mech. 57, 1056-1060.
    • (1990) Trans. ASME J. Appl. Mech. , vol.57 , pp. 1056-1060
    • Pierucci, M.1    Morales, P.G.2
  • 48
    • 0026807517 scopus 로고
    • Finite-amplitude shear waves in a channel with compliant boundaries
    • ROTENBERRY, J. M. 1992 Finite-amplitude shear waves in a channel with compliant boundaries. Phys. Fluids A 4, 270-276.
    • (1992) Phys. Fluids A , vol.4 , pp. 270-276
    • Rotenberry, J.M.1
  • 49
    • 0025414973 scopus 로고
    • Effect of compliant boundaries on weakly nonlinear shear waves in channel flow
    • ROTENBERRY, J. M. & SAFFMAN, P. G. 1990 Effect of compliant boundaries on weakly nonlinear shear waves in channel flow. SIAM J. Appl. Math. 50, 361-394.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 361-394
    • Rotenberry, J.M.1    Saffman, P.G.2
  • 50
    • 0018532772 scopus 로고
    • Dynamic buckling of a nonlinear Timoshenko beam
    • SAPIR, M. H. & REISS, E. L. 1979 Dynamic buckling of a nonlinear Timoshenko beam. SIAM J. Appl. Maths 37, 290-301.
    • (1979) SIAM J. Appl. Maths , vol.37 , pp. 290-301
    • Sapir, M.H.1    Reiss, E.L.2
  • 51
    • 0003116780 scopus 로고
    • Laminare Kanaleinlaufströmung
    • SCHLICHTING, H. 1934 Laminare Kanaleinlaufströmung. Z. angew Math. Mech. 14, 368-373.
    • (1934) Z. Angew Math. Mech. , vol.14 , pp. 368-373
    • Schlichting, H.1
  • 53
    • 0017526543 scopus 로고
    • Steady flow in collapsible tubes
    • SHAPIRO, A. H. 1977 Steady flow in collapsible tubes. J. Biomech. Engng 99, 126-147.
    • (1977) J. Biomech. Engng , vol.99 , pp. 126-147
    • Shapiro, A.H.1
  • 54
    • 0017769499 scopus 로고
    • On collapse and flutter phenomena in thin tubes conveying fluid
    • WEAVER, D. S. & PAÏDOUSSIS, M. P. 1977 On collapse and flutter phenomena in thin tubes conveying fluid. J. Sound Vib. 50, 117-132.
    • (1977) J. Sound Vib. , vol.50 , pp. 117-132
    • Weaver, D.S.1    Païdoussis, M.P.2
  • 55
    • 0028749915 scopus 로고
    • The linear stability of boundary-layer flow over compliant walls: Effects of boundary-layer growth
    • YEO, K. S., KHOO, B. C. & CHONG, W. K. 1994 The linear stability of boundary-layer flow over compliant walls: effects of boundary-layer growth. J. Fluid Mech. 280, 199-225.
    • (1994) J. Fluid Mech. , vol.280 , pp. 199-225
    • Yeo, K.S.1    Khoo, B.C.2    Chong, W.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.