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Transition from laminar to turbulent flow

Published online by Cambridge University Press:  29 March 2006

J. E. Ffowcs Williams ,
S. Rosenblat  and
J. T. Stuart
J. E. Ffowcs Williams
Affiliation:
Department of Mathematics, Imperial College, London
S. Rosenblat
Affiliation:
Department of Mathematics, Imperial College, London
J. T. Stuart
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

A NATO Advanced Study Institute on the topic of transition from laminar flow to turbulence was held at Imperial College, London, from 1 to 6 July 1968. Each morning's session was started with a one-hour general lecture, and was followed by five or six half-hour lectures interspaced with discussion periods. The main lecturers were C. C. Lin (general survey), S. Rosenblat (stability of time-dependent flows), L. S. G. Kovasznay (turbulent, non-turbulent interfaces), L. E. Scriven (free surface effects) and A. A. Townsend (shear turbulence). The idea of the meeting was to bring forth and to discuss current ideas in the subject, both from the point of view of developments out of laminar flow and from that of developments into real turbulence. To this end speakers were chosen to introduce a variety of topics ranging from laminar-flow instabilities (with emphasis on aspects at present imperfectly understood), through non-linear effects to the processes affecting turbulence itself.

Many ideas recurred throughout the meeting, both at lectures and in discussion periods. This is true, for example, of several relevant points forcefully made by C. C. Lin. For this reason the present account does not attempt to describe the proceedings of the meeting in chronological order, but rather takes an overall view of the subject matter and points to the areas of agreement and of controversy in relation to various problems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 3 , 27 November 1969 , pp. 547 - 559
Copyright
© 1969 Cambridge University Press

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References

Batchelor, G. K. 1960 Appendix to An empirical torque relation for supercritical flow between rotating cylinders. J. Fluid Mech. 7. 401–418.Google Scholar
Benney, D. J. & Bergeron, R. F. 1968 A new class of nonlinear waves in parallel flows. To be published.
Coles, D. 1965 Transition in circular Couette flow J. Fluid Mech. 21, 385–425.Google Scholar
Davey, A., Diprima, R. C. & Stuart, J. T. 1968 On the instability of Taylor vortices J. Fluid Mech. 31, 17–52.Google Scholar
Donnelly, R. J. 1964 Enhancement of stability by modulation. Proc. Roy. Soc. Lond A 281, 130–139.Google Scholar
Gran Olsson, R. 1936 Z.A.M.M. 16, 257–274
Gregory, N., Stuart, J. T. & Walker, W. S. 1955 On the stability of three-dimensional boundary layers with application to the flow due to a rotating disk. Phil. Trans. Lond A 248, 155–199.Google Scholar
Howard, L. N. 1963 Heat transport by turbulent convection J. Fluid Mech. 17, 405–432.Google Scholar
Howard, L. N. 1964 Convection at high Rayleigh number. Proc. Xth Int. Cong. Applied Mechanics, pp. 1109–1115.
Kelly, R. E. 1965 On the stability of an inviscid shear layer which is periodic in space and time J. Fluid Mech. 27, 657–689.Google Scholar
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary-layer instability J. Fluid Mech. 12, 1–34.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadtler, P. W. 1967 The structure of turbulent boundary layers J. Fluid Mech. 30, 741–774.Google Scholar
Komoda, H. 1967 Paper in Physics of Fluids Supplement, Report on Kyoto Meeting, September 1966, S 87–S 94.
Landahl, M. T. 1967 A wave-guide model for turbulent shear flow J. Fluid Mech. 29, 441–459.Google Scholar
Landau, L. D. 1944 On the problem of turbulence C. R. Acad. Sci. U.R.S.S. 44, 311–314.Google Scholar
Lighthill, M. J. 1969 Turbulence. Osborne Reynolds Centenary Volume. Manchester University Press.
Meksyn, D. & Stuart, J. T. 1951 Stability of viscous motion between parallel planes for finite disturbances. Proc. Roy. Soc. Lond A 208, 517–526.Google Scholar
Pekeris, C. L. & Shkoller, B. 1967 Stability of plane Poiseuille flow to periodic disturbances of finite amplitude J. Fluid Mech. 29, 31–38.Google Scholar
Pillow, A. F. 1952 The free convection cell in two dimensions. Australian Report A, 79.
Reynolds, W. C. & Potter, M. C. 1967 Finite-amplitude instability of parallel shear flows J. Fluid Mech. 27, 465–492.Google Scholar
Saffman, P. G. 1962 On the stability of laminar flow of a dusty gas J. Fluid Mech. 13, 120–128.Google Scholar
Schade, H. 1964 Contributions to the non-linear stability theory of inviscid shear layers Phys. Fluids, 7, 623–628.Google Scholar
Schubauer, G. B. & Skramstad, H. K. 1943 Laminar boundary layer oscillations and transition on a flat plate. N.A.C.A. Report 909.
Shen, S. F. 1961 Some considerations on the laminar stability of time-dependent basic flows. J. Aero/Space Sci. 28, 397–404.Google Scholar
Stuart, J. T. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part I J. Fluid Mech. 9, 353–370.Google Scholar
Stuart, J. T. 1965 Hydrodynamic stability Appl. Mech. Rev. 18, 523–531.Google Scholar
Stuart, J. T. 1967 On finite-amplitude oscillations in laminar mixing layers J. Fluid Mech. 29, 417–440.Google Scholar
Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. Lond A 223, 289–343.Google Scholar
Watson, J. 1960 On the nonlinear mechanics of wave disturbances in stable and unstable parallel flows. Part 2 J. Fluid Mech. 9, 371–389.Google Scholar