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Mixing of Weakly and Strongly Diffusive Passive Scalars in Isotropic Turbulence

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TLDR
In this article, the scalar mixing in isotropic turbulence with Schmidt numbers ranging from 0.04 up to 144 was studied by numerical simulation and it was shown that scalar spectra show a k − 1 range for Sc>1.
Abstract
Scalar mixing in isotropic turbulence with Schmidt numbers ranging from 0.04 up to 144 is studied by numerical simulation. The scalar spectra show a k −1 range for Sc>1. Also for Sc 1. The local fine-scale structure of the velocity field appears to have an effect on the scalar mixing process for all Schmidt numbers.

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Citations
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Dynamics of scalar dissipation in isotropic turbulence: a numerical and modelling study

TL;DR: The physical mechanisms underlying the dynamics of the dissipation of passive scalar fluctuations with a uniform mean gradient in stationary isotropic turbulence are studied using data from direct numerical simulations (DNS), at grid resolutions up to 5123 as mentioned in this paper.
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Micro Structure and Lagrangian Statistics of the Scalar Field with a Mean Gradient in Isotropic Turbulence

TL;DR: In this paper, the relation between the small scale velocity and scalar field in fully developed isotropic turbulence, with a forced random large scale motion and an imposed steady and linear mean scalar gradient, was studied.
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Axial motion and scalar transport in stretched spiral vortices

D. I. Pullin, +1 more
- 16 Aug 2001 - 
TL;DR: In this article, a large-time asymptotic solution to the scalar advection-diffusion equation, with an azimuthal swirling velocity field provided by the stretched spiral vortex, is used together with appropriate stretching transformations to determine the evolution of both the axial velocity and a passive scalar.
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Developments in turbulence research : A review based on the 1999 Programme of the Isaac Newton Institute, Cambridge

TL;DR: In this paper, the authors present a review of the results of more than 300 presentations during the 1999 International Symposium on Volumes 7, 7, 8 and 9 of the Isaac Newton Institute, Cambridge, UK and on research reported elsewhere.
References
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Book

A First Course in Turbulence

TL;DR: In this paper, the authors present a reference record created on 2005-11-18, modified on 2016-08-08 and used for the analysis of turbulence and transport in the context of energie.
Journal ArticleDOI

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity

TL;DR: In this article, a theoretical investigation of the spectrum of a turbulent fluid at large wave-numbers is presented, taking into account the two effects of convection with the fluid and molecular diffusion with diffusivity k. Hypotheses of the kind made by Kolmogoroff for the small-scale variations of velocity in a turbulent motion at high Reynolds number are assumed to apply also to small-size variations of θ.
Journal ArticleDOI

Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence

TL;DR: In this paper, the alignment between vorticity and eigenvectors of the strain-rate tensor in numerical solutions of Navier-Stokes turbulence is studied, and the authors show that the relationship between the velocity and the energy dissipation is a power-law relation between conditioned mean values.
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Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence

TL;DR: In this article, higher order derivative correlations, including skewness and flatness factors, are calculated for velocity and passive scalar fields and compared with structures in the flow and the equations are forced to maintain steady state turbulence and collect statistics.
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Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity

TL;DR: In this paper, the authors extended the analysis reported in Part 1 to the case in which the conductivity κ is large compared with the viscosity ν, the conduction cutoff to the θ-spectrum then being at wave-number (e/κ3)¼.
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