h. k. moffatt- large scale motions in a turbulent boundary layer; waves versus eddies

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LARGE SCALE MOTIONS IN A TURBULENT BOUNDARY IAYER; WAVES VERSUS EDDIES by H . K . Moffatt Abstract The dynamics of those fluctuating motions in a turbulent boundary l q e r which have a scale comparable with the scale of the mean flow i s considered. Motions on this scale,'large eddies; can arise through interactions o f Fourier components of the velocity field having a much smaller scale, T h e large eddies are convected and distorted by t h e mean flow and thqlose energy to small scale turbulence by a process that may (for want o f better) be represented by an eddy viscosity, statistical structure o f the,la rge eddies. considered, t h e first o f which highlights the wave-nature of possible modes of motion, and the second of which places the emphasis on the distortion and development of anisotropy i n certain other modes of motion. The methods are to some extent complementary, b u t i t i s argued that the second method i physically more appropriate in treating disturbances that are localised in the y direction. The equilibrium of these processes determines (in principle) the T wo methods of analysis are Some of the features of the correlation curves obtained by Grant (1958) are interpreted in terms of initially isotropic turbulence that h a s been subjected to a uniform mean shear. comparison with experiment, and the indications are that this i s an approach that merits further study. The shear induces an anisotropy that admits http://moffatt.tc

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8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 1/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 2/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 3/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 4/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 5/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 6/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 7/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 8/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 9/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 10/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 11/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 12/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 13/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 14/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 15/16

8/3/2019 H. K. Moffatt- Large Scale Motions in a Turbulent Boundary Layer; Waves Versus Eddies

http://slidepdf.com/reader/full/h-k-moffatt-large-scale-motions-in-a-turbulent-boundary-layer-waves-versus 16/16