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Journal ArticleDOI

Measurements of the Small-Scale Structure of Turbulence at Moderate Reynolds Numbers

J. C. Wyngaard, +1 more
- 01 Aug 1970 - 
- Vol. 13, Iss: 8, pp 1962-1969
TLDR
In this article, the first two time derivatives of the streamwise velocity fluctuation in a mixing layer are presented, and the probability distributions of squared derivatives are found to be nearly log normal.
Abstract
Measurements of probability densities and distributions, moments, and spectra obtained from the first two time derivatives of the streamwise velocity fluctuation in a mixing layer are presented. Probability distributions of squared derivatives are found to be nearly log normal. The skewness (S) and kurtosis (K) of the first derivative are compared with new atmospheric data at much higher Reynolds numbers. Reynolds-number dependence is indicated, in conflict with universal equilibrium theory. A modified theory using fluctuating dissipation predicts that S and K have power-law behavior with turbulent Reynolds number and are related by S ∝ K3/8, in general agreement with the trends of the limited data available.

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Citations
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Journal ArticleDOI

A model for fully developed turbulence

TL;DR: In this paper, a model for stationary, fully developed turbulence is presented in which the turbulent spectral energy function is completely determined once the time scale for the energy fed into the eddy interaction is known.
Book ChapterDOI

Probability and Statistics: Self-Decomposability, Finance and Turbulence

TL;DR: In this article, a discussion is given of closely similar, key features of empirical data from finance and from turbulence, and this is followed by an account of recent work on stochastic modelling incorporating those features.
Book ChapterDOI

A Methodology for the Estimation of Build Time for Operation Sequencing in Process Planning for a Hybrid Process

TL;DR: In this article, a method for predicting build times for operation sequencing for process planning of the iAtractive process was proposed, theoretically analyzing the factors that affect build times, which was used to help with the design of four test parts together with 64 sets of variations.
Journal ArticleDOI

Finite Reynolds number effect and the 4/5 law

TL;DR: A relatively extensive survey of published data shows that the 4/5 law has not yet been observed in either experiments or simulations because the Reynolds number is not sufficiently large as mentioned in this paper, which is not the case in the case of the 3/4 law.
References
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Book

The theory of homogeneous turbulence

TL;DR: In this article, the kinematics of the field of homogeneous turbulence and the universal equilibrium theory of decay of the energy-containing eddies are discussed. But the authors focus on the dynamics of decay and not on the probability distribution of u(x).
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