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Wire coating analysis with Oldroyd 8-constant fluid by optimal homotopy asymptotic method. (English) Zbl 1238.76034
Summary: 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 \(\alpha \), the Psendoplastic constant \(\beta \), and the pressure gradient on velocity distribution and shear stress is studied. Shear stress is examined under the effect of the viscosity parameter \(\eta _{0}\). Moreover, the volume flow rate and average velocity is carefully studied with changing the domain (thickness) of the polymer and varying the parameter \(\alpha ,\beta \) and the pressure gradient.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76A10 Viscoelastic fluids
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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