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A new mean temperature model for incompressible wall-bounded turbulence over a wide range of Prandtl numbers.

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Title: A new mean temperature model for incompressible wall-bounded turbulence over a wide range of Prandtl numbers.
Authors: Ip Sun, Justin E. Ka1, Fu, Lin1,2 linfu@ust.hk
Source: Journal of Fluid Mechanics. 5/25/2026, Vol. 1035, p1-29. 29p.
Subjects: Prandtl number, Thermal diffusivity, Fluid dynamics, Turbulence, Temperature distribution
Abstract: A new model of the mean temperature profiles within incompressible wall-bounded turbulence is developed based on a relationship between the momentum and thermal eddy diffusivities for a wide range of Prandtl numbers (Pr). Flow media with Pr and Schmidt numbers (Sc) other than unity are of great engineering importance, and the proposed model for passive scalar mean profiles is able to suitably account for Pr and Sc variations and their effects. Existing models have a higher degree of error at the lower Pr ranges due to significant inaccuracies of the modelled thermal eddy diffusivity in this region. Considering incompressible wall-bounded turbulence at 0.007 x Pr x 10, the proposed methodology reduces the average error to just around 4% across all cases considered, lower than previously proposed models due to its ability to capture low Pr behaviour, showcasing a new temperature-velocity relationship that can account for variations in Pr for all the cases considered. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press 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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Header DbId: egs
DbLabel: Engineering Source
An: 194630840
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PubTypeId: academicJournal
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  Data: A new mean temperature model for incompressible wall-bounded turbulence over a wide range of Prandtl numbers.
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  Data: <searchLink fieldCode="AR" term="%22Ip+Sun%2C+Justin+E%2E+Ka%22">Ip Sun, Justin E. Ka</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Fu%2C+Lin%22">Fu, Lin</searchLink><relatesTo>1,2</relatesTo><i> linfu@ust.hk</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 5/25/2026, Vol. 1035, p1-29. 29p.
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  Data: <searchLink fieldCode="DE" term="%22Prandtl+number%22">Prandtl number</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+diffusivity%22">Thermal diffusivity</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulence%22">Turbulence</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature+distribution%22">Temperature distribution</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: A new model of the mean temperature profiles within incompressible wall-bounded turbulence is developed based on a relationship between the momentum and thermal eddy diffusivities for a wide range of Prandtl numbers (Pr). Flow media with Pr and Schmidt numbers (Sc) other than unity are of great engineering importance, and the proposed model for passive scalar mean profiles is able to suitably account for Pr and Sc variations and their effects. Existing models have a higher degree of error at the lower Pr ranges due to significant inaccuracies of the modelled thermal eddy diffusivity in this region. Considering incompressible wall-bounded turbulence at 0.007 x Pr x 10, the proposed methodology reduces the average error to just around 4% across all cases considered, lower than previously proposed models due to its ability to capture low Pr behaviour, showcasing a new temperature-velocity relationship that can account for variations in Pr for all the cases considered. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press 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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    Identifiers:
      – Type: doi
        Value: 10.1017/jfm.2026.11582
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 29
        StartPage: 1
    Subjects:
      – SubjectFull: Prandtl number
        Type: general
      – SubjectFull: Thermal diffusivity
        Type: general
      – SubjectFull: Fluid dynamics
        Type: general
      – SubjectFull: Turbulence
        Type: general
      – SubjectFull: Temperature distribution
        Type: general
    Titles:
      – TitleFull: A new mean temperature model for incompressible wall-bounded turbulence over a wide range of Prandtl numbers.
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            NameFull: Ip Sun, Justin E. Ka
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            NameFull: Fu, Lin
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            – D: 25
              M: 05
              Text: 5/25/2026
              Type: published
              Y: 2026
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              Value: 1035
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            – TitleFull: Journal of Fluid Mechanics
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