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- W1432394253 abstract "The kinetic energy density, k, and lifetime, t, of aturbulent eddy, volume V, are shown to be related to acharacteristic length scale, 2, by:13 =vk= c2/3e2/3 t-C 1/312/3where c is the energy dissipation rate. A self similar cascade ofdiscrete eddy sizes is derived, each size related to the nextlarger by:P 22 CC i+l iwhere C= 81'2. With some simple assumptions as to the turbulentproduction process the mean logarithmic velocity profile isderived. The relationship between the friction velocity andReynolds stress is explained in terms of the large eddyintermittency, n. Below a critical free stream velocity, U', n isproportional to the free stream velocity. The dissipation rate, e,is then constant and given by:e U'3/N3Lwhere N is the number of discrete eddy sizes in the boundarylayer. When the boundary layer has reached the surface N- 11. Theobserved turbulent spectral characteristics are derived from theeddy equations without using dimensional reasoning and anexplanation of the mechanism behind surface layer similarityscaling is proposed.An experiment was carried out in the North Sea to test themodel predictions. Correlations showed that, except at slackwater, the largest eddies were approximately cubic, occupying thewhole flow depth, and were advected with the mean flow. Frequencyspectra provided evidence that the cascade formulation wascorrect. The turbulent intermittency was proportional to thecurrent speed and the value of c, calculated by several methods,was found to be constant with a value:C=0.3 cm2/s3The characteristics of the largest eddies were isolated usinga spectral cropping technique and plotted as a phase portrait ofthe turbulent strange attractor. This demonstrated that theboundary layer sat at preferred, discrete energy levels. Thelevels observed could be related to the discete cascade model. Acomputer code based on the model equations was tested against aseries of large scale oil and dye releases in the North Sea. Theobserved intermittency, meandering, and dispersion were wellsimulated with the value of c given above." @default.
- W1432394253 created "2016-06-24" @default.
- W1432394253 creator A5020760531 @default.
- W1432394253 date "1991-01-01" @default.
- W1432394253 modified "2023-09-26" @default.
- W1432394253 title "Shear dispersion in the surface layers of the sea." @default.
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