Diffusion layer thickness in turbulent flow.

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Title: Diffusion layer thickness in turbulent flow.
Authors: Burluka, A.A.1 (AUTHOR) alexey.burluka@northumbria.ac.uk
Source: International Journal of Heat & Fluid Flow. Feb2020, Vol. 81, pN.PAG-N.PAG. 1p.
Subjects: Turbulence, Diffusion, Strain tensors, Turbulent mixing, Evolution equations
Abstract: • The idea is introduced of a meso-scale element convected by mean flow and large scale turbulence and using this idea, formulate a simple model for the diffusive layer thickness assuming that its evolution is determined by the diffusive growth and the turbulent strain rate. • The evolution equation for the m.e. thickness has been put to test using for assessment published measurements in plane and round jets and it produced, using the same values of two model constants, values of the thickness in good quantitative agreement with the measurements over a wide range of conditions. • It turns out that neither Kolmogorov nor Taylor scale provides a good universal reference scale for the diffusive layer thickness and it is local turbulence conditions determining this thickness. Average thickness of diffusive layers in a turbulent flow is described using an idea of Lagrangian meso-scale element convected by mean flow and large scale turbulence. This idea enables a formulation of a simple model for the diffusive layer thickness assuming that its evolution is determined by the diffusive growth and two components, compressive normal and tangential, of the turbulent strain rate tensor. Analysis of the possible effects of the folding action of the turbulence leads to the conclusion that the folding becomes significant only at the scales far superior to the considered dimensions of the meso-scale elements, thus it may be neglected in the present formulation. The evolution equation for the meso-scale element thickness is derived and put to test against experiments conducted in plane and round jets. The model proved capable of producing, using the same values of two model constants, values of the diffusive layer thickness in good qualitative agreement with the measurements. While the present numerical simulations of the turbulent jets are made using very simple, perhaps simplistic, flow and turbulence description, they nonetheless allow a fairly accurate estimation of turbulence microscales at different locations in a jet. It turns out that neither Kolmogorov nor Taylor scale provides a good universal reference scale for the diffusive layer thickness and it is local turbulence conditions and history of the meso-scale element determining the latter. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Heat & Fluid Flow is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Diffusion layer thickness in turbulent flow.
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  Data: <searchLink fieldCode="AR" term="%22Burluka%2C+A%2EA%2E%22">Burluka, A.A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alexey.burluka@northumbria.ac.uk</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Heat+%26+Fluid+Flow%22">International Journal of Heat & Fluid Flow</searchLink>. Feb2020, Vol. 81, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Diffusion%22">Diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Strain+tensors%22">Strain tensors</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulent+mixing%22">Turbulent mixing</searchLink><br /><searchLink fieldCode="DE" term="%22Evolution+equations%22">Evolution equations</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: • The idea is introduced of a meso-scale element convected by mean flow and large scale turbulence and using this idea, formulate a simple model for the diffusive layer thickness assuming that its evolution is determined by the diffusive growth and the turbulent strain rate. • The evolution equation for the m.e. thickness has been put to test using for assessment published measurements in plane and round jets and it produced, using the same values of two model constants, values of the thickness in good quantitative agreement with the measurements over a wide range of conditions. • It turns out that neither Kolmogorov nor Taylor scale provides a good universal reference scale for the diffusive layer thickness and it is local turbulence conditions determining this thickness. Average thickness of diffusive layers in a turbulent flow is described using an idea of Lagrangian meso-scale element convected by mean flow and large scale turbulence. This idea enables a formulation of a simple model for the diffusive layer thickness assuming that its evolution is determined by the diffusive growth and two components, compressive normal and tangential, of the turbulent strain rate tensor. Analysis of the possible effects of the folding action of the turbulence leads to the conclusion that the folding becomes significant only at the scales far superior to the considered dimensions of the meso-scale elements, thus it may be neglected in the present formulation. The evolution equation for the meso-scale element thickness is derived and put to test against experiments conducted in plane and round jets. The model proved capable of producing, using the same values of two model constants, values of the diffusive layer thickness in good qualitative agreement with the measurements. While the present numerical simulations of the turbulent jets are made using very simple, perhaps simplistic, flow and turbulence description, they nonetheless allow a fairly accurate estimation of turbulence microscales at different locations in a jet. It turns out that neither Kolmogorov nor Taylor scale provides a good universal reference scale for the diffusive layer thickness and it is local turbulence conditions and history of the meso-scale element determining the latter. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Heat & Fluid Flow is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.ijheatfluidflow.2019.108530
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      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Turbulence
        Type: general
      – SubjectFull: Diffusion
        Type: general
      – SubjectFull: Strain tensors
        Type: general
      – SubjectFull: Turbulent mixing
        Type: general
      – SubjectFull: Evolution equations
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      – TitleFull: Diffusion layer thickness in turbulent flow.
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              Text: Feb2020
              Type: published
              Y: 2020
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              Value: 81
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            – TitleFull: International Journal of Heat & Fluid Flow
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