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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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##### References:
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