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

• Published in: JCT research 2019-01, Vol.16 (1), p.235-248
• Main Authors: Khan, Zeeshan, Ur Rasheed, Haroon, Ullah, Murad, Gul, Taza, Jan, Akhtar
• Format: Article
• Language: English
• Subjects: Asymptotic methods; Chemistry and Materials Science; Computer simulation; Constitutive equations; Constitutive relationships; Corrosion and Coatings; Die casting; Fiber coatings; Industrial Chemistry/Chemical Engineering; Materials Science; Optical fibers; Physical properties; Polymer melts; Polymer Sciences; Polymers; Pressure casting; Rheological properties; Rheology; Runge-Kutta method; Surfaces and Interfaces; Thin Films; Tribology; Wire
• ISSN: 1547-0091; 1935-3804; 2168-8028
• DOI: 10.1007/s11998-018-0113-0

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.