Wire coating analysis with Oldroyd 8-constant fluid by Optimal Homotopy Asymptotic Method

Authors:
Rehan Ali Shah;Saeed Islam;A. M. Siddiqui;T. Haroon
Affiliations:
COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan;COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan;Pennsylvania State University, York Campus, Edgecombe 17403, USA;COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

In this study the wire coating in a pressure type die with the bath of Oldroyd 8-constant fluid with pressure gradient is investigated. The non-linear ordinary differential equation in dimensionless form is obtained, which is solved for the velocity profile using the Optimal Homotopy Asymptotic Method (OHAM). The effect of Dilatant constant @a, the Psendoplastic constant @b, and the pressure gradient on velocity distribution and shear stress is studied. Shear stress is examined under the effect of the viscosity parameter @h"0. Moreover, the volume flow rate and average velocity is carefully studied with changing the domain (thickness) of the polymer and varying the parameter @a,@b and the pressure gradient.