The absolute instability of boundary-layer flow over viscoelastic walls

Theoretical and Computational Fluid Dynamics

Volumn 8, Issue 4, 1996, Pages 237-252

  Yeo, K S ^a   Khoo, B C ^a   Zhao, H Z ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030556753     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00639694     Document Type: Article

References (34)

1. Benjamin, T. B. (1963). The three-fold classification of unstable disturbances in flexible surfaces bounding inviscid flows. J. Fluid Mech. 16, 436.
2. Bers, A. (1983). Handbook Plasma Physics, Chapter 3. North-Holland, Amsterdam.
3. Bland, D.R. (1960). Linear Viscoelasticity. Pergamon Press, Oxford.
4. Brazier-Smith, P.R., and Scott, J.F. (1984). Stability of fluid flow in the presence of a compliant surface. Wave Motion 6, 547.
5. Bridges, T.J., and Morris, P.J. (1984). Differential eigenvalue problems in which the parameter appears nonlinearly. J. Comput. Phys. 55, 437.
6. Briggs, R.J. (1964). Electron-Stream Interaction with Plamas. MIT Press, Cambridge, MA.
7. Carpenter, P.W. (1990). Status of transition delay using compliant walls. In Viscous Drag Reduction in Boundary Layers (eds Bushnell, D.M., and Hefner, J.N.), pp. 79-113. AIAA, New York.
8. Carpenter, P.W., and Garrad, A.D. (1985). The hydrodynamics stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities. J. Fluid Much. 155, 465.
9. Carpenter, P.W., and Garrad, A.D. (1986). The hydrodynamics stability of flow over Kramer-type compliant surfaces. Part 2. Flow-induced surface instabilities. J. Fluid Mech. 170, 199.
10. Carpenter, P.W., and Morris, P.J. (1990). The effects of anisotropic wall compliance on boundary-layer stability and transition. J. Fluid Mech. 218, 171.
11. Chomaz, J.M., Huerre, P., and Redekopp, L.G. (1988). Bifurcations to local and global modes in spatially-developing flow. Phys. Rev. Lett. 60, 25.
12. Craik, A.D.D. (1971). Nonlinear resonant instabilities in boundary layers. J. Fluid Mech. 50, 393.
13. Dixon, A.E., Lucey, A.D., and Carpenter, P.W. (1994). Optimization of viscoelastic compliant walls for transition delay. AIAA J. 32(2), 256.
14. Evrensel, C.A., and Kalnins, A. (1988). Response of a compliant slab to viscous incompressible fluid flow. Trans. ASME Ser. E J Appl. Mech. 55, 660.
15. Gad-el-Hak, M., Black welder, R.F., and Riley, J.J. (1984). On the interaction of compliant coatings with boundary-layer flows. J. Fluid Mech. 140, 257.
16. Grosskreutz, R. (1971). Wechselwirkungen zwischen turbulenten Grenzschichten und weichen Wanden. Report 53, Max-Planck Institut für Stromungsforshcung, Gottingen.
17. Herbert, T. (1984). Analysis of sub-harmonic route to transition in boundary layers. AIAA Paper 84-0009.
18. Huerre, P., and Monkewitz, P.A. (1990). Local and global instabilities in spatially-developing flows. Ann. Rev. Fluid Mech. 22, 473.
19. Joslin, R.D., and Morris, P.J. (1992). Effect of compliant walls on secondary instabilities in boundary transition. AIAA J. 30, 332.
20. Joslin, R.D., Morris, P.J., and Carpenter, P.W. (1991). The role of three-dimensional instabilities in compliant wall boundary-layer transition. AIAA J. 29, 1603.
21. Kupfer, K., Bers, A., and Ram, A.K. (1987). The cusp map in the complex-frequency plane for absolute instabilities. Phys. Fluids 30(10), 3075.
22. Landau, L., and Lifshitz, E.M. (1954). Mechanics of Continous Media. Fitmatigiz, Moscow (in Russian).
23. Lucey, A.D., and Carpenter, P.W. (1992). A numerical simulation of the interaction of a compliant wall and inviscid flow. J. Fluid Mech. 234, 121.
24. Schubauer, G.B., and Skramstad, H.K. (1948). Laminar boundary layer oscillations and transition on a flat plate. NACA Report No. 909.
25. Sen, P.K., and Arora, D.S. (1988). On the stability of laminar boundary-layer flow over a flat plate with a compliant surface. J. Fluid Mech. 197, 201.
26. Thomas, M.D. (1992). On the resonant triad interaction in flows over rigid and flexible boundaries. J. Fluid Mech. 234, 417.
27. Twiss, R.Q. (1951). On oscillations in electron streams. Proc. Roy. Soc. London Sect. B 64, 654.
28. Yeo, K.S. (1988). The stability of boundary-layer flow over single- and multi-layer viscoelastic walls. J. Fluid Mech. 196, 359.
29. Yeo, K.S. (1990). The hydrodynamic stability of boundary-layer flow over a class of anisotropic compliant walls. J. Fluid Mech. 220, 125.
30. Yeo, K.S. (1992). The three-dimensional stability of boundary-layer flow over compliant walls. J. Fluid Mech. 238, 537.
31. Yeo, K.S., and Dowling, A.P. (1987). The stability of inviscid flou over passive compliant walls. J. Fluid Mech. 183, 265.
32. Yeo, K.S., and Lim, C.W. (1994). The stability of flow over periodically-supported plates - potential flow. J. Fluid Struct. 8, 331.
33. Yeo, K.S., Khoo, B.C., and Chong, W.K. (1994a). The linear stability of boundary-layer flow over complaint walls: effects of wall mean state, induced by fluid loading. J. Fluid Struct. 8, 529.
34. Yeo, K.S., Khoo, B.C., and Chong, W.K. (1994b). The linear stability of boundary-layer flow over compliant walls - effects of boundary-layer growth. J. Fluid Mech. 280, 199.