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Journal of Coatings Technology and Research

, Volume 16, Issue 1, pp 235–248 | Cite as

Analytical and numerical solutions of Oldroyd 8-constant fluid in double-layer optical fiber coating

  • Zeeshan Khan
  • Haroon Ur RasheedEmail author
  • Murad Ullah
  • Taza Gul
  • Akhtar Jan
Article
  • 18 Downloads

Abstract

Polymer flow during wire coating in a pressure-type casting die has been simulated under non-isothermal conditions. The flow is dependent on the wire velocity, geometry of the die, and the viscosity of the polymer. In the present study, the constitutive equation of an Oldroyd 8-constant fluid is used to characterize the rheology of the polymer melt. The equation describing the flow of polymer melt inside the die is solved (1) analytically by applying optimal homotopy asymptotic method (OHAM) and (2) numerically by the shooting method with Runge–Kutta–Fehlberg algorithm. The convergence of the series solution is established. The effect of physical characteristics of the problem has been discussed in detail through graphs by assigning numerical values for several parameters of interest. At the end, the present study is also compared with published work as a particular case and good agreement is found.

Keywords

Double-layer coating Wet-on-wet coating process Oldroyd 8-constant fluid OHAM and “shooting technique” 

Notes

Acknowledgments

Dr. Taza Gul, Higher Education Department of Khyber Pakhtunkhwa Peshawar and Dr. Akhtar Jan Department of Mathematics (ISPaR) Bacha Khan University, Charsadda, for the revision of my manuscript and helped me to reply the reviewer’s reports. I am also thankful to them for checking the revised manuscript for grammatical error and also for their financial support for the manuscript.

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Copyright information

© American Coatings Association 2018

Authors and Affiliations

  • Zeeshan Khan
    • 1
  • Haroon Ur Rasheed
    • 1
    Email author
  • Murad Ullah
    • 2
  • Taza Gul
    • 3
    • 5
  • Akhtar Jan
    • 4
  1. 1.Department of Computer ScienceSarhad University of Science and IT PeshawarPeshawarPakistan
  2. 2.Department of MathematicsIslamia College University PeshawarPeshawarPakistan
  3. 3.Higher Education Department of Khyber PakhtunkhwaPeshawarPakistan
  4. 4.Department of Mathematics (ISPaR)Bacha Khan UniversityCharsaddaPakistan
  5. 5.Department of MathematicsCity University of Science and IT PeshawarPeshawarPakistan

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