Optimal linear growth in the asymptotic suction boundary layer

European Journal of Mechanics, B/Fluids

Volumn 22, Issue 3, 2003, Pages 259-270

  Fransson, Jens H M ^a,b   Corbett, Peter ^a  

^a IMFT   (France)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Asymptotic suction; Boundary layer; Optimal perturbations; Streaks; Transient growth

Indexed keywords

ASYMPTOTIC STABILITY; KINETIC ENERGY; LAMINAR FLOW; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; TURBULENCE;

ASYMPTOTIC SUCTION; OPTIMAL PERTURBATIONS; STREAKS; TRANSIENT GROWTH;

BOUNDARY LAYERS;

EID: 3042701048     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7546(03)00033-5     Document Type: Article

References (34)

1. Schlichting H. Boundary Layer Theory. 1979;McGraw-Hill.
2. Bewley T.R. Flow control: new challenges for a new renaissance. Progr. Aerospace Sci. 37:2001;21-58.
3. Moin P., Bewley T.R. Feedback control of turbulence, part 2. Appl. Mech. Rev. 47:(6):1994;S3-S13.
4. Joslin R.D., Erlebacher G., Hussaini M.Y. Active control of instabilities in laminar boundary layers - overview and concept validation. J. Fluids Engrg. 118:(3):1996;494-497.
5. Joslin R.D. Aircraft laminar flow control. Annu. Rev. Fluid Mech. 30:1998;1-29.
6. Lumley J., Blossey P. Control of turbulence. Annu. Rev. Fluid Mech. 30:1998;311-327.
7. Balakumar P., Hall P. Optimum suction distribution for transition cotnrol. Theor. Comput. Fluid Dynamics. 13:1999;1-19.
8. M. Högberg, Optimal control of boundary layer transition, Ph.D. Thesis, KTH, Stockholm, TRITA-MEK Tech. Rep. 2001:13, ISRN KTH/MEK/TR-01/13-SE.
9. F. Lundell, Experimental studies of bypass transition and its control, Ph.D. Thesis, KTH, Stockholm, TRITA-MEK Tech. Rep. 2003:03, ISRN KTH/MEK/TR-03/03-SE.
10. Pralits J., Hanifi A., Henningson D.S. Adjoint-based optimization of steady suction for disturbance control in incompressible flows. J. Fluid Mech. 467:2002;129-161.
11. S. Walther, C. Airiau, A. Bottaro, A methodology for optimal laminar flow control, submitted.
12. Abergel F., Témam T. On some control problems in fluid mechanics. Theor. Comput. Fluid Dynamics. 1:1990;303-325.
13. Bewley T.R., Liu S. Optimal and robust control and estimation of linear paths to transition. J. Fluid Mech. 365:1998;305-349.
14. Fransson J.H.M., Alfredsson P.H. On the disturbance growth in an asymptotic suction boundary layer. J. Fluid Mech. 482:2003;51-90.
15. Drazin P.G., Reid W.H. Hydrodynamic Stability. 1981;Cambridge University Press.
16. Schmid P.J., Henningson D.S. Stability and Transition in Shear Flows. 2001;Springer.
17. Hocking L.M. Non-linear instability of the asymptotic suction velocity profile. Quart. J. Mech. Appl. Math. 28:1975;341-353.
18. J. Westin, Laminar-turbulent boundary layer transition influenced by free stream turbulence, Ph.D. Thesis, KTH, Stockholm, TRITA-MEK Tech. Rep. 1997:10, ISRN KTH/MEK/TR-97/10-SE.
19. Matsubara M., Alfredsson P.H. Disturbance growth in boundary layers subjected to free-stream turbulence. J. Fluid Mech. 430:2001;149-168.
20. Butler K.M., Farrell B.F. Three-dimensional optimal perturbations in viscous shear flow. Phys. Fluids A. 4:1992;1637-1650.
21. Ellingsen T., Palm E. Stability of linear flow. Phys. Fluids. 18:1975;487-488.
22. Landahl M.T. A note on an algebraic instability of inviscid parallel shear flows. J. Fluid Mech. 98:1980;243-251. 1637-1650.
23. Hultgren L.S., Gustavsson L.H. Algebraic growth of disturbances in a laminar boundary layer. Phys. Fluids. 24:1981;1000-1004.
24. Gustavsson L.H. Energy growth of three-dimensional disturbances in plane Poiseuille flow. J. Fluid Mech. 224:1991;241-260.
25. Reddy S.C., Henningson D.S. Energy growth in viscous channel flows. J. Fluid Mech. 252:1993;209-238. 1637-1650.
26. Trefethen L.N., Trefethen A.E., Reddy S.C., Driscoll T.A. Hydrodynamic stability without eigenvalues. Science. 261:1993;578-584.
27. Luchini P. Reynolds number independent instability of the boundary layer over a flat surface: optimal perturbations. J. Fluid Mech. 404:2000;289-309.
28. Reshotko E. Transient growth: A factor in bypass transition. Phys. Fluids. 13:2001;1067-1075.
29. Andersson P., Brandt L., Bottaro A., Henningson D.S. On the breakdown of boundary layer streaks. J. Fluid Mech. 428:2001;29-60.
30. Corbett P., Bottaro A. Optimal perturbations for boundary layers subject to stream-wise pressure gradient. Phys. Fluids. 12:2000;120-130.
31. Corbett P., Bottaro A. Optimal linear growth in swept boundary layers. J. Fluid Mech. 435:2001;1-23.
32. J.H.M. Fransson, Investigations of the asymptotic suction boundary layer, Lic. Thesis, KTH, Stockholm, TRITA-MEK Tech. Rep. 2001:11, ISRN KTH/MEK/TR-01/11-SE.
33. White F.M. Viscous Fluid Flow. 1991;McGraw-Hill.
34. Andersson P., Berggren M., Henningson D.S. Optimal disturbances and bypass transition in boundary layers. Phys. Fluids. 11:1999;134-150.