From disorder to orders: August 2000

Studies in Applied Mathematics

Volumn 108, Issue 1, 2002, Pages 29-37

  Malkus, Willem V R ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; HEAT CONVECTION; PARALLEL FLOW; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; TURBULENCE;

BLASIUS'S FLOW; COUETTE; DIFFUSIVE LAYERS; IDEALISATION; LYAPUNOV VECTORS; NONAUTONOMOUS; PERTURBATION THEORY; SUB-LAYERS; TIME DEPENDENT; TURBULENT THERMAL CONVECTION;

SHEAR FLOW;

EID: 0036420758     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.01421     Document Type: Article

References (17)

1. W.V.R. Malkus, Borders of disorder, Stud. Appl. Math. 107:325-336 (2001).
2. L.N. Howard, Convection at high Rayleigh numbers, Proc. of the 11th International Congress of Appl. Mathematics, Munich, 1964, 1109-1115.
3. B.J. Bayly, S.A. Orszag, and M. Herbert, Instability mechanisms in shear flow transition, Ann. Rev. Fluid Mech. 20:359-391 (1988).
4. L.A.G. Kovasznay, H. Komoda, and B.R. Vasudeva, Turbulent "bursts," Report 7, The Johns Hopkins Univ., Baltimore, 1962.
5. H.P. Greenspan and D.J. Benney, On shear-layer instability, breakdown, and transition, J. Fluid Mech. 15:133-153 (1963).
6. H.B. Squire, On the stability of three-dimensional disturbance of visious flow between parallel wails, Proc. Roy. Soc. A 142:621-628 (1933).
7. F. Waleffe, Three dimensional coherent states in plane shear flow, Phys. Rev. Lett. 81:4140 (1998).
8. H. Schlichting, Boundary Layer Theory (translated by J. Ketin), McGraw-Hill, New York, 1955.
9. R.R. Kerswell, submitted.
10. W. Tollmien, Uber die Entstehung der turbulenz, Nacht. Ges. Weiss. Göttingen, Math-phys. Kl. 1:21-44 (1929).
11. C.C. Lin, On the stability of two-dimensional parallel flows, Quart. Appl. Math. 3:117-142 (1945).
12. R. Jordinson, The flat plate boundary layer, J. Fluid Mech. 43:801-811 (1970).
13. W.S. Saric and A.H. Nayfeh, Nonparallel stability of boundary layer flows, Phys. Fluids 18:945-950 (1975).
14. J.A. Ross, F.H. Barnes, J.G. Burns, and M.A.S. Ross, The flat plate boundary layer, J. Fluid Mech. 43:819-832 (1970).
15. P.G. Drazin and W.H. Reid, in Hydrodyamic stability, (G.K. Batchelor and J.W. Miles, Eds.) pp. 224-225, Cambridge University Press, Cambridge, UK, 1981.
16. G.B. Schubauer and H. Skramstead, Laminar boundary layer transitions, J. Res. Nat. Bur. Stand. 38:251-292 (1947).
17. Y. Du and G.E. Karnidakis, Suppressing wall turbulence, Science 288:123-134 (2000).