Stability of fluid flow in a flexible tube to non-axisymmetric disturbances

Journal of Fluid Mechanics

Volumn 407, Issue , 2000, Pages 291-314

  Shankar, V ^a   Kumaran, V ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

FLEXIBLE PIPE; PIPE FLOW; STABILITY;

EID: 0033940709     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099007570     Document Type: Article

References (23)

1. BATCHELOR, G. K. & GILL, A. 1962 Analysis of the stability of axisymmetric jets. J. Fluid Mech. 14, 529-551.
2. 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. Theor. Comput. Fluid Dyn. 1, 349-378.
3. CARPENTER, P. W. & GARRAD, A. D. 1985 The hydrodynamic stability of flows over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities. J. Fluid Mech. 155, 465-510.
4. CARPENTER, P. W. & GARRAD, A. D. 1986 The hydrodynamic stability of flows over Kramer-type compliant surfaces. Part 2. flow induced surface instabilities. J. Fluid Mech. 170, 199-232.
5. DAVIES, C. & CARPENTER, P. W. 1997 Instabilities in a plane channel flow between compliant walls. J. Fluid Mech. 352, 205-243.
6. DRAZIN, P. & REID, W. 1981 Hydrodynamic Stability. Cambridge University Press.
7. GARG, V. K. & ROULEAU, W. 1972 Linear spatial stability of pipe Poiseuille flow. J. Fluid Mech. 54, 113-127.
8. HARDEN, J., PLEINER, H. & PINCUS, P. 1991 Hydrodynamic surface modes on concentrated polymer solutions and gels. J. Chem. Phys. 94, 5208-5221.
9. HOWARD, L. N. & GUPTA, A. S. 1962 On the hydrodynamic and hydromagnetic stability of swirling flows. J. Fluid Mech. 14, 463-476.
10. KUMARAN, V. 1995a Stability of the viscous flow of a fluid through a flexible tube. J. Fluid Mech. 294, 259-281.
11. KUMARAN, V. 1995b Stability of the flow of a fluid through a flexible tube at high Reynolds number. J. Fluid Mech. 302, 117-139.
12. KUMARAN, V. 1996 Stability of an inviscid flow through a flexible tube. J. Fluid Mech. 320, 1-17.
13. KUMARAN, V. 1998a Stability of fluid flow through a flexible tube at intermediate Reynolds number. J. Fluid Mech. 357, 123-140.
14. KUMARAN, V. 1998b Stability of wall modes in a flexible tube. J. Fluid Mech. 362, 1-15.
15. LANDAU, L. & LIFSHITZ, E. 1989 Theory of Elasticity. Pergamon.
16. LIN, C. C. 1945 On the stability of two-dimensional parallel flows. Q. Appl. Maths 3, 117-142, 218-234, 277-301.
17. MASLOWE, S. 1974 Instability of rigidly rotating flows to non-axisymmetric disturbances. J. Fluid Mech. 64, 307-317.
18. SALWEN, H. & GROSCH, C. 1972 The stability of Poiseuille flow in a pipe of circular cross-section. J. Fluid Mech. 54, 93-112.
19. SHANKAR, V. 1999 Linear and nonlinear stability of fluid flow in a flexible tube. PhD Thesis, Indian Institute of Science, Bangalore, India.
20. SHANKAR, V. & KUMARAN, V. 1999 Stability of non-parabolic flow in a flexible tube. J. Fluid Mech. 395, 211-236.
21. TONG, Z. & LIU, X. 1993 Dynamic mechanical behaviour of polyelectrolyte gels with sulfonic acid groups. Macromolecules 26, 4964-4966.
22. YEO, K. 1994 Note on the inviscid stability of flow over a compliant wall. J. Fluid Mech. 279, 165-168.
23. YEO, K. & DOWLING, A. 1987 The stability of inviscid flows over passive compliant walls. J. Fluid Mech. 183, 265-292.