The stability of rotating-disc boundary-layer flow over a compliant wall. Part 2. Absolute instability

Journal of Fluid Mechanics

Volumn 350, Issue , 1997, Pages 261-270

  Cooper, A J ^a,b   Carpenter, Peter W ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; ROTATING DISKS; STABILITY; VISCOELASTICITY; WALL FLOW;

WALL COMPLIANCE;

BOUNDARY LAYER FLOW;

EID: 0031272911     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097006964     Document Type: Article

References (19)

1. BERS, A. 1975 Linear waves and instabilities. In Physique des Plasmas (ed. C. DeWitt & J. Peyraud), pp. 117-215. Gordon & Breach.
2. BRAZIER-SMITH, P. R. & SCOTT, J. F. 1984 Stability of fluid flow in the presence of a compliant surface. Wave Motion 6, 547-560.
3. BRIGGS, R. J. 1964 Electron-Stream Interaction with Plasmas. MIT Press.
4. 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.
5. COOPER, A. J. & CARPENTER, P. W. 1997 The stability of rotating-disc boundary-layer flow over a compliant wall. Part 1. Type I and II instabilities. J. Fluid Mech 350, 231-259.
6. HANSEN, R. J. & HUNSTON, D. L. 1974 An experimental study of turbulent flows over compliant surfaces. J. Sound Vib. 34, 297-308.
7. HANSEN, R. J. & HUNSTON, D. L. 1976 Further observations on flow-generated surface waves in compliant surfaces. J. Sound Vib. 46, 593-595.
8. HANSEN, R. J. & HUNSTON, D. L. 1983 Fluid-property effects on flow-generated waves on a compliant surface. J. Fluid Mech. 133, 161-177.
9. HANSEN, R. J., HUNSTON, D. L., NI, C.C. & REICHMANN, M. M. 1980 An experimental study of flow-generated waves on a flexible surface. J. Sound Vib. 68, 317-334.
10. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Ann. Rev. Fluid Mech. 22, 473-537.
11. KÁRMÁN, TH. VON 1921 Uber laminare und turbulente Reibung. Z. Angew. Math. Mech. 1, 233-252.
12. LINGWOOD, R. J. 1995 Absolute instability of the boundary layer on a rotating disk. J. Fluid Mech. 299, 17-33.
13. LINGWOOD, R. J. 1996 An experimental study of absolute instability of the rotating-disk boundary-layer flow. J. Fluid Mech. 314, 373-405.
14. LINGWOOD, R. J. 1997a On the difficulties associated with the steepest-descent method of evaluating wave packets in unstable flows. Stud. Appl. Maths 98, 213-254.
15. LINGWOOD, R. J. 1997b Absolute instability of the Ekman layer and related rotating flows. J. Fluid Mech. 331, 405-428.
16. 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.
17. MACK, L. M. 1985 The wave pattern produced by point source on a rotating disk. AIAA Paper 85-0490.
18. MALIK, M. R., WILKINSON, S. P. & ORSZAG, S. A. 1981 Instability and transition in rotating disk flow. AIAA J. 19, 1131-1138.
19. YEO, K. S., KHOO, B. C. & ZHAO, H. Z. 1996 The absolute instability of boundary-layer flow over viscoelastic walls. Theor. Comput. Fluid Dyn. 8, 237-252.