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Fundamentals of steady-state non-Newtonian rimming flow

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Title: Fundamentals of steady-state non-Newtonian rimming flow
Authors: Fomin, S.1 fomin@rift.mech.tohoku.ac.jp, Hashida, T.1, Watterson, J.2
Source: Journal of Non-Newtonian Fluid Mechanics. Mar2003, Vol. 111 Issue 1, p19. 22p.
Subjects: Engine cylinders, Non-Newtonian fluids, Reynolds number
Abstract: Rimming flow on the inner surface of a horizontal rotating cylinder is investigated. Using a scale analysis, a theoretical description is obtained for steady-state non-Newtonian flow. Simple lubrication theory is applied since the Reynolds number is small and the liquid film is thin. Since the Deborah number is very small the flow is viscometric. The shear-thinning number, which characterizes the shear-thinning effect, may be small or large. A general constitutive law for this kind of flow requires only a single function relating shear stress and shear rate that corresponds to a generalized Newtonian liquid. For this case the run-off condition for rimming flow is derived. Provided the run-off condition is satisfied, the existence of a continuous steady-state solution is proved. The rheological models, which show Newtonian behavior at low shear rates with transition to power-law shear thinning at moderate shear rates, are considered. Numerical results are carried out for the Carreau and Ellis models, which exhibit Newtonian behavior near the free surface and power-law behavior near the wall of the rotating cylinder. [Copyright &y& Elsevier]
Copyright of Journal of Non-Newtonian Fluid Mechanics 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 10293688
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Fundamentals of steady-state non-Newtonian rimming flow
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  Data: <searchLink fieldCode="AR" term="%22Fomin%2C+S%2E%22">Fomin, S.</searchLink><relatesTo>1</relatesTo><i> fomin@rift.mech.tohoku.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Hashida%2C+T%2E%22">Hashida, T.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Watterson%2C+J%2E%22">Watterson, J.</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Non-Newtonian+Fluid+Mechanics%22">Journal of Non-Newtonian Fluid Mechanics</searchLink>. Mar2003, Vol. 111 Issue 1, p19. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Engine+cylinders%22">Engine cylinders</searchLink><br /><searchLink fieldCode="DE" term="%22Non-Newtonian+fluids%22">Non-Newtonian fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Rimming flow on the inner surface of a horizontal rotating cylinder is investigated. Using a scale analysis, a theoretical description is obtained for steady-state non-Newtonian flow. Simple lubrication theory is applied since the Reynolds number is small and the liquid film is thin. Since the Deborah number is very small the flow is viscometric. The shear-thinning number, which characterizes the shear-thinning effect, may be small or large. A general constitutive law for this kind of flow requires only a single function relating shear stress and shear rate that corresponds to a generalized Newtonian liquid. For this case the run-off condition for rimming flow is derived. Provided the run-off condition is satisfied, the existence of a continuous steady-state solution is proved. The rheological models, which show Newtonian behavior at low shear rates with transition to power-law shear thinning at moderate shear rates, are considered. Numerical results are carried out for the Carreau and Ellis models, which exhibit Newtonian behavior near the free surface and power-law behavior near the wall of the rotating cylinder. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Journal of Non-Newtonian Fluid Mechanics 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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        Text: English
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        Type: general
      – SubjectFull: Non-Newtonian fluids
        Type: general
      – SubjectFull: Reynolds number
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              Text: Mar2003
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