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Mathematical study of viscoelastic polymer during roll-over-web coating.

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Title: Mathematical study of viscoelastic polymer during roll-over-web coating.
Authors: Atif, Hafiz Muhammad1 (AUTHOR), Jabeen, Fariha1 (AUTHOR), Javed, Muhammad Asif2 (AUTHOR) rana_asif_iiui@yahoo.com
Source: Journal of Plastic Film & Sheeting. Jan2024, Vol. 40 Issue 1, p30-50. 21p.
Subjects: Viscoelastic materials, Surface coatings, Perturbation theory, Industrial electronics, Polymers
Abstract: Roll-coating, also known as roll-to-roll coating or web coating is a continuous and high-speed method used in various industrial applications to apply a thin and uniform layer of material onto a substrate. This process is commonly employed in industries such as electronics, photovoltaic, printing, packaging, and other fields where precise and consistent coating is essential. Here we present an asymptotic analysis of forward roll coating over a rigid substrate for low Weissenberg number viscoelastic fluids. The analysis uses lubrication theory coupled with regular perturbation theory assuming a simplified Phan-Thien-Tanner (SPPT) constitutive equation and small values of the extensibility parameter ε. The analytical expressions of velocity fields, pressure gradient and pressure fields are obtained while the load carrying force, and power input are estimated by numerical solutions (4th order Runge-Kutta). Increases in both Wi and ε increases the pressure gradient in the nip region and increases in viscoelasticity reduce the overall force on the roll. Further, SPTT model predicts 14% lower pressure for W i (= 0.8) in the nip region when compared to Newtonian model. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Plastic Film & Sheeting is the property of Sage Publications Inc. 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: 174711724
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Mathematical study of viscoelastic polymer during roll-over-web coating.
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  Data: <searchLink fieldCode="AR" term="%22Atif%2C+Hafiz+Muhammad%22">Atif, Hafiz Muhammad</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jabeen%2C+Fariha%22">Jabeen, Fariha</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Javed%2C+Muhammad+Asif%22">Javed, Muhammad Asif</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> rana_asif_iiui@yahoo.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Plastic+Film+%26+Sheeting%22">Journal of Plastic Film & Sheeting</searchLink>. Jan2024, Vol. 40 Issue 1, p30-50. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Viscoelastic+materials%22">Viscoelastic materials</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+coatings%22">Surface coatings</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Industrial+electronics%22">Industrial electronics</searchLink><br /><searchLink fieldCode="DE" term="%22Polymers%22">Polymers</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Roll-coating, also known as roll-to-roll coating or web coating is a continuous and high-speed method used in various industrial applications to apply a thin and uniform layer of material onto a substrate. This process is commonly employed in industries such as electronics, photovoltaic, printing, packaging, and other fields where precise and consistent coating is essential. Here we present an asymptotic analysis of forward roll coating over a rigid substrate for low Weissenberg number viscoelastic fluids. The analysis uses lubrication theory coupled with regular perturbation theory assuming a simplified Phan-Thien-Tanner (SPPT) constitutive equation and small values of the extensibility parameter ε. The analytical expressions of velocity fields, pressure gradient and pressure fields are obtained while the load carrying force, and power input are estimated by numerical solutions (4th order Runge-Kutta). Increases in both Wi and ε increases the pressure gradient in the nip region and increases in viscoelasticity reduce the overall force on the roll. Further, SPTT model predicts 14% lower pressure for W i (= 0.8) in the nip region when compared to Newtonian model. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Plastic Film & Sheeting is the property of Sage Publications Inc. 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: 10.1177/87560879231204207
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 30
    Subjects:
      – SubjectFull: Viscoelastic materials
        Type: general
      – SubjectFull: Surface coatings
        Type: general
      – SubjectFull: Perturbation theory
        Type: general
      – SubjectFull: Industrial electronics
        Type: general
      – SubjectFull: Polymers
        Type: general
    Titles:
      – TitleFull: Mathematical study of viscoelastic polymer during roll-over-web coating.
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            NameFull: Atif, Hafiz Muhammad
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            NameFull: Jabeen, Fariha
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            NameFull: Javed, Muhammad Asif
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            – D: 01
              M: 01
              Text: Jan2024
              Type: published
              Y: 2024
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              Value: 87560879
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              Value: 40
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            – TitleFull: Journal of Plastic Film & Sheeting
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