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Heat transfer analysis of the non-Newtonian polymer in the calendering process with slip effects.

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Title: Heat transfer analysis of the non-Newtonian polymer in the calendering process with slip effects.
Authors: Javed, M. A.1 (AUTHOR), Akram, R.1 (AUTHOR), Nazeer, Mubbashar2 (AUTHOR) mubbasharnazeer@gcuf.edu.pk, Ghaffari, A.3 (AUTHOR)
Source: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics. 3/20/2024, Vol. 38 Issue 7, p1-24. 24p.
Subjects: Heat transfer, Finite difference method, Approximation theory, Stream function, Temperature distribution, Rolling friction
Abstract: In this paper, a non-isothermal study of the calendering processes is presented using Carreau–Yasuda model along with nonlinear slip condition introduced at the upper roll surface. The flow equations for the problem are developed and converted into dimensionless form with the help of dimensionless variables and then finally simplified by a well-known lubrication approximation theory. The final equations are solved numerically using "bvp4c" to find stream function and velocity profiles, while the hybrid numerical method which is the combination of shooting and finite difference methods is used to solve the energy equation. Graphs show the impact of the concerned material parameters on various quantities of interest. The pressure distribution decreases with the increasing values of the slip parameter and Weissenberg number. The mechanical variables show an increasing trend with the increasing values of the slip parameter and Weissenberg number. The temperature distribution increases with an increase in the Brinkman number, while temperature shows declining trend near the roll surface with the increasing values of the slip parameter. The force separating the two rollers, total power input into both rolls, increase with the increasing values of the Weissenberg number and slip parameters. The results show that the Newtonian model predicts higher pressure in the nip zone than the Carreau–Yasuda model. It is interesting to note that for the case of shear thinning, the Carreau–Yasuda model predicts 30% less pressure in the nip region when compared to the Newtonian model. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company 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: 175751218
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Heat transfer analysis of the non-Newtonian polymer in the calendering process with slip effects.
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  Data: <searchLink fieldCode="AR" term="%22Javed%2C+M%2E A%2E%22">Javed, M. A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Akram%2C+R%2E%22">Akram, R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nazeer%2C+Mubbashar%22">Nazeer, Mubbashar</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mubbasharnazeer@gcuf.edu.pk</i><br /><searchLink fieldCode="AR" term="%22Ghaffari%2C+A%2E%22">Ghaffari, A.</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+difference+method%22">Finite difference method</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Stream+function%22">Stream function</searchLink><br /><searchLink fieldCode="DE" term="%22Temperature+distribution%22">Temperature distribution</searchLink><br /><searchLink fieldCode="DE" term="%22Rolling+friction%22">Rolling friction</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, a non-isothermal study of the calendering processes is presented using Carreau–Yasuda model along with nonlinear slip condition introduced at the upper roll surface. The flow equations for the problem are developed and converted into dimensionless form with the help of dimensionless variables and then finally simplified by a well-known lubrication approximation theory. The final equations are solved numerically using "bvp4c" to find stream function and velocity profiles, while the hybrid numerical method which is the combination of shooting and finite difference methods is used to solve the energy equation. Graphs show the impact of the concerned material parameters on various quantities of interest. The pressure distribution decreases with the increasing values of the slip parameter and Weissenberg number. The mechanical variables show an increasing trend with the increasing values of the slip parameter and Weissenberg number. The temperature distribution increases with an increase in the Brinkman number, while temperature shows declining trend near the roll surface with the increasing values of the slip parameter. The force separating the two rollers, total power input into both rolls, increase with the increasing values of the Weissenberg number and slip parameters. The results show that the Newtonian model predicts higher pressure in the nip zone than the Carreau–Yasuda model. It is interesting to note that for the case of shear thinning, the Carreau–Yasuda model predicts 30% less pressure in the nip region when compared to the Newtonian model. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics is the property of World Scientific Publishing Company 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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        Value: 10.1142/S0217979224501054
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Finite difference method
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Stream function
        Type: general
      – SubjectFull: Temperature distribution
        Type: general
      – SubjectFull: Rolling friction
        Type: general
    Titles:
      – TitleFull: Heat transfer analysis of the non-Newtonian polymer in the calendering process with slip effects.
        Type: main
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            NameFull: Javed, M. A.
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            NameFull: Akram, R.
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            NameFull: Nazeer, Mubbashar
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            NameFull: Ghaffari, A.
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            – D: 20
              M: 03
              Text: 3/20/2024
              Type: published
              Y: 2024
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            – TitleFull: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
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