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Improved algebraic, numerical, and graphical representations in fluid mechanics.

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Title: Improved algebraic, numerical, and graphical representations in fluid mechanics.
Authors: Churchill, Stuart W.1 (AUTHOR), Seider, Warren D.1 (AUTHOR), Papavassiliou, Dimitrios V.2 (AUTHOR) dvpapava@ou.edu
Source: AIChE Journal. Feb2026, Vol. 72 Issue 2, p1-14. 14p.
Subjects: Fluid mechanics, Turbulent flow, Channel flow, Shear strain, Fluid dynamics, Turbulent mixing, Laminar flow
Abstract: The concept of equivalents is applied to fully developed flows through straight channels and two applications are introduced: the equivalents that produce equal rates of flow through channels of different cross‐sections, and the diminishment that occurs between the regimes of laminar and turbulent flow. This diminishment (i.e., the reduction of flow due to turbulence) is a counter‐intuitive finding, but it appears naturally when the flow equations in the two flow regimes are scaled appropriately for the same pressure gradient. The validity of the eddy diffusivity and the invalidity of the mixing‐length as measures of the shear stress due to turbulence have perhaps never before been demonstrated so clearly. The possible choices of primary variables and the consequences are also examined. The objective of these explorations is an improved understanding of the basic fluid mechanics by teachers, students, and industrial practitioners. [ABSTRACT FROM AUTHOR]
Copyright of AIChE Journal is the property of Wiley-Blackwell 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 190911145
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
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  Data: Improved algebraic, numerical, and graphical representations in fluid mechanics.
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  Data: <searchLink fieldCode="AR" term="%22Churchill%2C+Stuart+W%2E%22">Churchill, Stuart W.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Seider%2C+Warren+D%2E%22">Seider, Warren D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Papavassiliou%2C+Dimitrios+V%2E%22">Papavassiliou, Dimitrios V.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> dvpapava@ou.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22AIChE+Journal%22">AIChE Journal</searchLink>. Feb2026, Vol. 72 Issue 2, p1-14. 14p.
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  Data: <searchLink fieldCode="DE" term="%22Fluid+mechanics%22">Fluid mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulent+flow%22">Turbulent flow</searchLink><br /><searchLink fieldCode="DE" term="%22Channel+flow%22">Channel flow</searchLink><br /><searchLink fieldCode="DE" term="%22Shear+strain%22">Shear strain</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Turbulent+mixing%22">Turbulent mixing</searchLink><br /><searchLink fieldCode="DE" term="%22Laminar+flow%22">Laminar flow</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The concept of equivalents is applied to fully developed flows through straight channels and two applications are introduced: the equivalents that produce equal rates of flow through channels of different cross‐sections, and the diminishment that occurs between the regimes of laminar and turbulent flow. This diminishment (i.e., the reduction of flow due to turbulence) is a counter‐intuitive finding, but it appears naturally when the flow equations in the two flow regimes are scaled appropriately for the same pressure gradient. The validity of the eddy diffusivity and the invalidity of the mixing‐length as measures of the shear stress due to turbulence have perhaps never before been demonstrated so clearly. The possible choices of primary variables and the consequences are also examined. The objective of these explorations is an improved understanding of the basic fluid mechanics by teachers, students, and industrial practitioners. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of AIChE Journal is the property of Wiley-Blackwell 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190911145
RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1002/aic.70078
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      – Code: eng
        Text: English
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        PageCount: 14
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    Subjects:
      – SubjectFull: Fluid mechanics
        Type: general
      – SubjectFull: Turbulent flow
        Type: general
      – SubjectFull: Channel flow
        Type: general
      – SubjectFull: Shear strain
        Type: general
      – SubjectFull: Fluid dynamics
        Type: general
      – SubjectFull: Turbulent mixing
        Type: general
      – SubjectFull: Laminar flow
        Type: general
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      – TitleFull: Improved algebraic, numerical, and graphical representations in fluid mechanics.
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            NameFull: Seider, Warren D.
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            NameFull: Papavassiliou, Dimitrios V.
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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