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Journal ArticleDOI

A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence

Paul A. Durbin
- 01 Sep 1980 - 
- Vol. 100, Iss: 02, pp 279-302
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TLDR
In this article, a new definition of concentration fluctuations in turbulent flows is proposed, which implicitly incorporates smearing effects of molecular diffusion and instrumental averaging, and a stochastic model of two-particle dispersion, consistent with this definition, is formulated.
Abstract
A new definition of concentration fluctuations in turbulent flows is proposed. The definition implicitly incorporates smearing effects of molecular diffusion and instrumental averaging. A stochastic model of two-particle dispersion, consistent with this definition, is formulated. The stochastic model is an extension of Taylor's (1921) model and is consistent with Richardson's represents net destruction of fluctuations by relative dispersion. Only the first term is included in the usual one-particle model (Corrsin 1952).

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Citations
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Passive Scalars in Turbulent Flows

TL;DR: In this article, the complex morphology of the scalar field is reviewed, and they are related to the intermittency problem and other aspects of passive scalar behavior such as spectrum, probability density function, flux, and variance are also addressed.
Journal ArticleDOI

Lagrangian PDF Methods for Turbulent Flows

TL;DR: In this article, the authors propose a method for calculating the statistics of inhomogeneous turbulent flows of practical importance, and are particularly attractive if chemical reactions are involved, where the information contained at this level of closure is considerably more than that provided by moment closures.
Journal ArticleDOI

Turbulent combustion modelling

TL;DR: A review of the current state of the art in turbulent combustion modelling can be found in this article, where the authors present physical and experimental knowledge of the structure of turbulent flames in order to help the further discussions of models on a physical basis.
Journal ArticleDOI

Direct numerical simulations of the turbulent mixing of a passive scalar

TL;DR: In this article, the evolution of scalar fields, of different initial integral length scales, in statistically stationary, homogeneous, isotropic turbulence is studied, and it is shown that the pdf of the scalar tends to a Gaussian self-similar state.
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A linear-eddy model of turbulent scalar transport and mixing

TL;DR: In this paper, the authors simulate the transport and mixing of diffusive scalars in turbulent flows using a novel representation of the temporal evolution along a transverse line moving with the mean fluid velocity, where the scalar field along this line evolves by Fickian diffusion, representing molecular processes and by randomly occurring events called block inversions.
References
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Book

The Structure of Turbulent Shear Flow

TL;DR: In this paper, the authors present a method to find the optimal set of words for a given sentence in a sentence using the Bibliogr. Index Reference Record created on 2004-09-07, modified on 2016-08-08
Book

Turbulent Diffusion in the Environment

G. T. Csanady
TL;DR: In this article, a simple random walk model is used to describe the effect of particle dispersions through random movement and Brownian motion on the diffusion of particles in a cloud of a small amount of water.
Journal ArticleDOI

Diffusion in a field of homogeneous turbulence II. The relative motion of particles

TL;DR: In this paper, the authors considered the problem of the turbulent diffusion, relative to a fixed origin, of a cloud of marked fluid whose initial position is given and found that the initial shape of the cloud and the statistical properties of the separation, at time t, of two fluid particles of given initial separation, were related to Richardson's distance-neighbour function.
Journal ArticleDOI

Heat Transfer in Isotropic Turbulence

TL;DR: In this article, the authors examined the problem of heat transfer in a stationary isotropic turbulence under constant small temperature gradient from both Lagrangian and Eulerian points of view.