Abstract

This work considers two-phase flow of an elastic-viscous fluid for double-layer coating of wire. The wet-on-wet (WOW) coating process is used in this study. The analytical solution of the theoretical model is obtained by Optimal Homotopy Asymptotic Method (OHAM). The expression for the velocity field and temperature distribution for both layers is obtained. The convergence of the obtained series solution is established. The analytical results are verified by Adomian Decomposition Method (ADM). The obtained velocity field is compared with the existing exact solution of the same flow problem of second-grade fluid and with analytical solution of a third-grade fluid. Also, emerging parameters on the solutions are discussed and appropriate conclusions are drawn.

Highlights

  • The study of non-Newtonian fluids has gained deep attention from researchers due to its various applications in industries like oil, polymer, plastic, and so forth

  • Two-phase flow of an elastic-viscous third-grade fluid is used for wire coating

  • Flow rate, thickness of the coated wire, and temperature distributions for each phase are obtained by Optimal Homotopy Asymptotic Method (OHAM)

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Summary

Introduction

The study of non-Newtonian fluids has gained deep attention from researchers due to its various applications in industries like oil, polymer, plastic, and so forth. Shah et al [13] studied third-grade fluid with heat transfer in the wire coating analysis All these attempts were related to single layer coating flow. The task is to find the analytical solutions for the governing nonlinear equation arising in a coating metallic wire process inside a cylindrical roll die, to study the fluid flow behavior in particular, and to examine the effects of the non-Newtonian fluid parameters and axial distance from the center of the metallic wire This is our first attempt to investigate the double-layer coating flow of an elastic-viscous fluid on the wire using wet-on-wet coating process.

Modeling of the Problem
Solution of the Problem
Solution for the Temperature Distribution
Analysis of the Results
Conclusions
Analysis of ADM
Analysis of OHAM
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