Abstract
In recent years several authors, in particular G. I. Taylor and Th. von Karman, have given much attention to the investigation of the correlation coefficients characteristic of the turbulent motion which is found in an air stream of constant mean velocity 1). The turbulence in the cases considered usually is produced by a screen or a honeycomb through which the air stream has passed (such a case often presents itself with the air flow in a wind channel), and it isassumed that in the region to be considered the motion of the air is not influenced by guiding walls etc.
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References
G. I. Taylor, Statistical theory of turbulence, Proc. Roy. Soc. (London) A 151, pp. 421–478, 1935; A 156,pp. 307–317, 1936; Journ. Aeron. Sciences 4, p. 311, 1937; Some recent developments in the study of turbulence, Proc. Vth Intern. Congr. for Applied Mechanics, Cambridge, Mass., 1938, p. 294.
Th. Von Larman, The fundamentals of the statistical theory of turbulence, Journ. Aeron. Sciences 4, p. 131, 1937; On the statistical theory of turbulence, Proc. Nat. Acad. of Sciences (Washington) 23, p. 98, 1937; Some remarks on the statistical theory of turbulence, Proc. Vth Intern. Congress for Applied Mechanics, Cambridge, Mass., 1938, p. 347; Th. De Karman and L. Howarth, On the statistical theory of isotropic turbulence, Proc. Roy. Soc. (London) A 164, pp. 192–215, 1938.
H. L. Dryden. Turbulence investigations at the National Bureau of Standards, Proc. Vth Intern. Congress for Applied Mechanics, Cambridge, Mass., 1938, p. 362; Turbulence and the boundary layer, Journ. Aeron. Sciences 6, p. 85, 1938; Turbulence and diffusion, Journ. Industrial and Engineering Chemistry 31, p. 416. 1939 (all with extensive references to the literature of the subject).
L. Prandtl, Beitrag zum Turbulenzsymposium, Proc. Vth Intern. Congress tor Applied Mechanics, Cambridge, Mass., 1938, p. 340.
G. I. Taylor. Proc. Roy. Soc. (London) A 151, p. 430, 1935.
Apart from the papers already mentioned in footnote 1) see: G. I. Taylor, Correlation measurements in a turbulent flow through a pipe, Proc. Roy. Soc. (London) A 157, pp. 537–546, 1936; G. I. Taylor and A. E. GreenA. E. Green, Mechanism of the production of small eddies from large ones, ibid. A 158. pp. 499–521, 1937; G. I. Taylor, Production and dissipation of vorticity in a turbulent field, ibid. A 164, pp. 15–23, 1938; The spectrum of turbulence, ibid. A 164, pp. 476–490, 1938.
For the experimental investigations themselves the reader is referred to the articles mentioned by Prof. Taylor in these papers, and to those of Dryden and his co-workers.
The reader is also referred to a great number of papers on turbulence in the Proc. Vth Intern. Congress for Applied Mechanics, Cambridge, Mass., 1938. References to the experimental investigations are given in many of these papers.
J. M. BurgersJ. M. Burgers, Mathematical examples illustrating relations occurring in the theory of turbulent fluid motion, Verhand. Kon. Nederl. Akad. v. Wetenschappen, Afd. Natuurk. (Ie sectie) 17, No. 2, 1939.
Th. De Karman and L. Howarth, Proc. Roy. Soc. (London) A 164, p. 192,1938.
J. M. Burgers. l.c.p. 16. Eqs (8. 2). (8. 3).
G. I. Taylor, Proc. Roy. Soc. (London) A 151, p. 426, 1935.
G. I. Taylor. Proc. Roy. Soc. (London) A 151, p. 437. 1935.
See J. M. Burgers, l.e. p. 14, eq. (7. 2), and the reference to Riemann given p. 27, footnote 12).
J. M. Burgers, l.e. pp. 30, 40–43.
G. I. Taylor, Journ. Aeron. Sciences 4, p. 315, 1937; G. I. Taylor and A. E. GreenA. E. Green, Proc. Roy. Soc. (London) A 158. p. 501. 1937; G. I. Taylor, ibid. A 164, p. 15, 1938.
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Burgers, J.M. (1995). Hydrodynamics. — Application of a model system to illustrate some points of the statistical theory of free turbulence . In: Nieuwstadt, F.T.M., Steketee, J.A. (eds) Selected Papers of J. M. Burgers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0195-0_12
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