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Some early ideas about turbulence

Published online by Cambridge University Press:  29 March 2006

G. I. Taylor
Affiliation:
University of Cambridge

Abstract

Apart from the well known pictorial studies of eddies in a stream by Leonardo da Vinci, it seems to me that other engineers were the first to make any progress in the study of turbulence. Except for Osborne Reynolds (1883) they limited their work to empirical formulae giving the results of hydraulic experiments in which they measured mean flow distributions resulting from turbulence. Osborne Reynolds seems to have been the first to show that with given boundaries the flow can be steady up to a certain speed and then suddenly become turbulent. This was a great advance and contributed to the urge by Orr (1907), Rayleigh (1915) and many others to study mathematically the stability of steady flow reacute;gimes. Meanwhile the meteorologists were attracted to the field. Arthur Schuster, a wealthy man who was professor of physics at Manchester University, wanted to encourage a mathematician to study meteorology and try to introduce mathematical reasoning into what seemed almost pure empiricism. He set aside provision for a readership in dynamical meteorology. I was appointed in 1911.

Type
Research Article
Copyright
© 1970 Cambridge University Press

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References

Cleveland, Abbé 1910 Smithsonian Institution, Washington.
Ekman, V. W. 1905 Archiv für Mathematik 2
Karman, T. von 1937 J. Aero Sci. 4, 131.
Kelvin, Lord 1887 Phil. Mag. 24, 188.
Orr, W. McF. 1907 Proc. Roy. Irish Acad. 27, 69
Prandtl, L. 1925 Z. Angew. Math. Mech. 5, 137.
Proudman, J. 1916 Proc. Roy. Soc. A 92, 408.
Rayleigh, Lord 1915 Phil. Mag. 30, 329
Reynolds, O. 1883 Phil. Trans. A 175, 935.
Reynolds, O. 1894 Phil. Trans. A 186, 123.
Shaw, W. N. & Lempfert, R. G. K. 1906 Life history of surface air currents. Meteorological Office Memoirs, no. 174
Schmidt, W. 1925 Der Massenaustausch in freier Luft. Hamburg
Taylor, G. I. 1915 Phil. Trans. A 215, 1.
Taylor, G. I. 1917 Proc. Roy. Soc. A 93, 99.
Taylor, G. I. 1921a Proc. Roy. Soc. A 100, 114
Taylor, G. I. 1921b Proc. Lond. Math. Soc. (2), 20, 196.
Taylor, G. I. 1932 Proc. Roy. Soc. A 135, 685.
Taylor, G. I. 1935 Proc. Roy. Soc. A 151, 421