On the explicit analytic solutions of an Oldroyd 6-constant fluid

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Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt (2007, background): “Several others [2–9] investigated the analytic solutions for flow of non-Newtonian fluids under various assumptions.”
Comparison between the homotopy analysis method and homotopy perturbation method (2005, methodology): “This method has been successfully applied to solve many types of nonlinear problems (for example, please refer to [4–10]).”
On the analytic solutions of the nonhomogeneous Blasius problem (2005, background): “Several attempts were made to derive an analytical solution of the problem for the case = 0, see [8–11,13–20].”
Dual solutions of boundary layer flow over an upstream moving plate (2008, methodology): “The homotopy analysis method has been successfully applied to many nonlinear problems [16–25].”
Couette and Poiseuille flows of an oldroyd 6-constant fluid with magnetic field (2004, methodology): “The method of homotopy analysis method has already been successfully applied to problem of Newtonian [9–16] and non-Newtonian fluids [17–19].”