The understanding and prediction of turbulent flow

It was easy for me to choose a subject for this lecture. First, turbulence is an important part of engineering fluid dynamics which has not so far been treated in the Reynolds-Prandtl lectures; secondly, it is the most obvious link between the careers of our two heroes; and thirdly it is the only scientific subject on which I am even remotely qualified to lecture before such a distinguished audience. The first and second propositions are sufficiently demonstrated by the annual consumption of something of the order of 1010kg of kerosene to overcome the effects of Reynolds’ stresses in Prandtl’s boundary layers. Have any two human beings ever had such a spectacular memorial? (Yes, Lanchester and Prandtl, to whose induced drag we sacrifice another 1010kg of fuel each year.)

[1]  Walter Tollmien,et al.  Ludwig Prandtl Gesammelte Abhandlungen , 1961 .

[2]  Coleman duP. Donaldson,et al.  Calculation of Turbulent Shear Flows for Atmospheric and Vortex Motions , 1971 .

[3]  B. G. J. Thompson.  A critical review of existing methods of calculating the turbulent boundary layer , 1967 .

[4]  Francis H. Harlow,et al.  Transport Equations in Turbulence , 1970 .

[5]  J. Deardorff.  A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers , 1970, Journal of Fluid Mechanics.

[6]  M. Holden.  Heat transfer in separated flow , 1964 .

[7]  J. C. Rotta,et al.  Turbulent boundary layers in incompressible flow , 1962 .

[8]  G. Mellor,et al.  STUDY OF TURBULENT BOUNDARY LAYER MODELS. PART II. MEAN TURBULENT FIELD CLOSURE. , 1971 .

[9]  D. Coles,et al.  The Turbulent Boundary Layer in a Compressible Fluid , 1964 .

[10]  J. Wyngaard,et al.  Some measurements of the fine structure of large reynolds number turbulence , 1972 .

[11]  P. Bradshaw,et al.  Turbulent Boundary Layers , 1968, The Aeronautical Journal (1968).

[12]  P. Saffman,et al.  A model for inhomogeneous turbulent flow , 1970, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[13]  Some early ideas about turbulence , 1970 .

[14]  P. Bradshaw,et al.  Applications of a General Method of Calculating Turbulent Shear Layers , 1972 .

[15]  Roddam Narasimha,et al.  The ‘bursting’ phenomenon in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[16]  Peter Bradshaw,et al.  An introduction to turbulence and its measurement , 1971 .

[17]  Peter Bradshaw,et al.  Calculation of three-dimensional turbulent boundary layers , 1971, Journal of Fluid Mechanics.

[18]  A. K. Gupta,et al.  Spatial structure in the viscous sublayer , 1971, Journal of Fluid Mechanics.

[19]  Stephen J. Kline,et al.  The production of turbulence near a smooth wall in a turbulent boundary layer , 1971, Journal of Fluid Mechanics.

[20]  S. Corrsin,et al.  Experiments on nearly homogeneous turbulent shear flow , 1970, Journal of Fluid Mechanics.

[21]  Erik Mollo-Christensen.  Physics of Turbulent Flow , 1971 .

[22]  D. B. Spalding,et al.  A two-parameter model of turbulence, and its application to free jets , 1970 .

[23]  D. B. Spalding,et al.  Turbulence Model for Boundary Layers near Walls , 1972 .

[24]  James M. Wallace,et al.  The wall region in turbulent shear flow , 1972, Journal of Fluid Mechanics.

[25]  A. Favre,et al.  Review on Space-Time Correlations in Turbulent Fluids , 1965 .

[26]  Coleman Dup,et al.  A Computer Study of an Analytical Model of Boundary-Layer Transition , 1969 .

[27]  Brian Launder,et al.  A Reynolds stress model of turbulence and its application to thin shear flows , 1972, Journal of Fluid Mechanics.

[28]  J. Rotta,et al.  Statistische Theorie nichthomogener Turbulenz , 1951 .

[29]  J. A. Elliott.  Microscale pressure fluctuations measured within the lower atmospheric boundary layer , 1972, Journal of Fluid Mechanics.

[30]  F. Clauser.  The Structure of Turbulent Shear Flow , 1957, Nature.

[31]  A. Townsend,et al.  Equilibrium layers and wall turbulence , 1961, Journal of Fluid Mechanics.

[32]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[33]  I. E. Beckwith,et al.  Detailed description and results of a method for computing mean and fluctuating quantities in turbulent boundary layers , 1968 .

[34]  H. L. Grant.  The large eddies of turbulent motion , 1958, Journal of Fluid Mechanics.