Abstract
This paper presents a tangent hyperbolic fluid in a cylindrical coordinate system. The governing equations are simplified using long-wavelength and low Reynolds number approximations. The solutions of the problem in simplified form are calculated with three methods: (1) perturbation method, (2) homotopy analysis method, and (3) shooting method. Comparison of the three solutions shows very good agreement among them. Pressure rise and frictional force are calculated with the help of numerical integration. Graphical results for pressure rise and frictional forces are presented to show the physical behavior of the Weissenberg number We, amplitude ratio ϕ, tangent hyperbolic power law index n, and radius ratio ϕ.
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