Nonlinear Tollmien-Schlichting waves for a Blasius flow over compliant coatings

Physics of Fluids

Volumn 8, Issue 4, 1996, Pages 1036-1051

  Ehrenstein, Uwe ^a   Rossi, Maurice ^b  

^a UNIV LILLE   (France)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BLASIUS; FLOW; TOLLMIEN-SCHLICHTING; WAVES;

EID: 0029656376     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868886     Document Type: Article

References (40)

1. M. O. Kramer,. "Boundary layer stabilization by distributed damping," J. Am. Soc. Naval Eng. 74, 341 (1962).
2. J. J. Riley, M. Gad-El-Hak, and R. W. Metcalfe, "Compliant coatings," Annu. Rev. Fluid Mech. 20, 393 (1988).
3. P. W. Carpenter, "Status of transition delay using compliant walls," in Viscous Drag Reduction in Boundary Layers, Progress in Astronautics and Acronautics, edited by D. M. Bushnell and J. N. Hefer (AIAA, New York, 1990). Vol. 123, p. 79.
4. P. W. Carpenter and A. D. Garrad, "The hydrodynamic stability of flow over Kramer-type compliant surfaces. Part 1. Tollmien-Schlichting instabilities," J. Fluid Mech. 155, 465 (1985).
5. P. W. Carpenter and A. D. Garrad, "The hydrodynamic stability of flaw over Kramer-type compliant surfaces. part 2. Flow-induceed surface instabilities," J. Fluid Mech. 170, 199 (1986).
6. T. B. Benjamin, "Effect of a commpliant boundary on hydrodynamic stability," J. Fluid Mech. 9, 513 (1960).
7. J. H. Duncan, A. M. Waxman, and M. P. Tulin, "The dynamics of waves at the interface between a viscoelastic coating and a fluid flow," J. Fluid Mech. 158, 177 (1985).
8. T. Lee, M. Fisher, and W. K. Schwarz, "Investigation of a stable interaction of a passive compliant surface with a trbulent bounoudry layer," J. Fluid Mech. 257, 373 (1993).
9. K. S. Yeo, "The stability of boundary-layer flow over single- and multilayer viscoelastic walls," J. Fluid Mech 196, 359 (1988).
10. P. W. Carpenter, "Optimization of multiple-panel compliant walls for delay of laminar-turbulent transition," AIAA J. 31, 1187 (1993).
11. R. D. Joslin and P. J. Morris, "The sensitivity of flow and surface instabilities to charges in complisant wall properties," J. Fluid Struct. 3, 423 (1989).
12. P. W. Caarpenter and J. S. B. Gajjar, "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 (1990).
13. R. D. Joslin, P. J. Morris, and P. W. Carpenter, "Role of three-dimensional instabilities in compliant wall boundary-layer transition," AIAA J. 29, 1603 (1991).
14. K. S. Yeo, "The hydrodynamic stability of boundary-layer flow over a class of anisotropic compliant walls," J. Fluid Mech. 220, 125 (1990).
15. P. W. Carpenter and P. J. Morris, "The effect of anisotropic wall compliance on boundary-layer stability and tranition," J. Fluid Mech. 218, 171 (1990).
16. K. S. Yeo, "The three-dimensional stability of boundary-layer flow over compliant walls," J. Fluid Mech. 238, 537 (1992).
17. P. G. Saffman, "Vortices - Stability and turbulence," Ann. NY. Acad. Sci. 404, 12 (1983).
18. A. C. Newell, D. A. Rand, and D. Russel, "Turbulent transport and the random occurrence of coherent events," Physica D 33, 291 (1988).
19. W. Koch, "On a degeneray of temporal secondary instability modes in Blasius boundary-layer flow," J. Fluid Mech. 243, 319 (1992).
20. U. Ehrenstein and W. Koch, "Three-dimensional wave-like equilibrium states in plane Poiseuille flow," J. Fluid Mech. 228, 111 (1991).
21. U.Ehrenstein and W. Koch, "Homochlinie bifurcation in Blasius boundary-layer flow," Phys. Fluids 7, 1282 (1995).
22. U. Ehrenstein and M. Rossi, "Nonlinear Tollmien-Schlichting waves for plane Poiseuille flow with compliant walls," Eur. J. Mech. B Fluids 12, 789 (1993).
23. M. Gaster, "Is the dolphin a red berring?," in IUTAM Symposium Turbulence Management and Relaminarization, edited by H. E. Liepmann and R. Narashima (1987), p. 285.
24. T. Lee, M. Fisher, and W. H. Schwarz, "Investigation of the effects of a compliant surface on boundary-layer stability," J. Fluid Mech. 288, 37 (1995).
25. J. S. B. Gajjar, "Nonlinear stability of flow over compliant surfaces," in Proceedings of the 5th European Drag Reduction Meeting, London, November 1990 (Kluwer, New York, 1990).
26. M. D. Thomas, "The nonlinear stability of flows over compliant walls," J. Fluid. Mech. 239, 657 (1992).
27. T. Herbert, "Secondary instabilitiesof boundary layers," Annu. Rev. Fluid Mech. 20, 487 (1988).
28. R. D. Joslin and P. J. Morris, "Effect of compliant walls on secondary instabilities in boundary-layer transition," AIAA, J. 30, 332 (1992).
29. F. P. Bertolotti, T. Herbert, and P. R. Spalart, "Linear and nonlinear stability of the Blasius boundary-layer," J. Fluid Mech. 242, 441 (1992).
30. F. A. Milinazzo and P. G. Saffman, "Finite-amplitude steady waves in plane viscous shear flows," J. Fluid Mech. 160,281 (1985).
31. T. M. Fische, "On the nonlinear development of disturbances in boundary layers," Eur. J. Mech. B Fluid 10 (Suppl.), 310 (1991).
32. J. M. Rotenberry, "Fiite amplitude steady waves in the Blasius boundary layer," Phys. Fluids A 5, 1840 (1993).
33. J. A. Domaradzki and R. W. Metcalfe, "Stabilization of laminar boundary layers by compliant membranes," Phys. Fluids 30, 695(1987).
34. C. Canuto, A. Hussaini, A. Quarteroni, and T. A. Zang," Spectral Methods in Fluid Dynamics (Springer Series in Computational Physics, New York, 1987).
35. F. P. Bertolotti and R. D. Joslin, "Effect of far-feild boundaryconditions on boundary-layer transition," J. Comput. Phys. 118, 392 (1995).
36. W. Koch (private communication).
37. H. B. Keller, "Numerical solution of bifurcation and nonlinear eigenvalue problems," in Applications of bifurcation Theory, edited by P. H. Rabinowitz (Academic, New york, 1977), pp. 359-384.
38. V. V. Babenko, "Experimental investigation of the hydrodynamic stability for simple flat membrane surfaces (in Russian)," Gidromekhanika 24,3 (1973).
39. P. G. Drazin an W. H. Reid, Hydrodynamic Stability (Oxford University Press, New York, 1981).
40. K. S. Yeo, B. C. Khoo, and W. K. Chong, "The linear stability of boundary-layer flow over compliant walls: Effects of boundary-layer growth," J. Fluid Mech. 280, 199 (1994).