Optimal auxiliary functions method for thin film flow of a fourth grade fluid down a vertical cylinder
Keywords:Optimal Auxiliary Functions Method, thin film flow, fourth grade fluid, nonlinear problem
A new approximate analytical procedure namely the Optimal Auxiliary Functions Method (OAFM) is proposed and has been applied to thin film flow of a fourth grade fluid down a vertical cylinder. The main advantage of our approach consists in providing a convenient way to control the convergence of the approximate solution in a very rigorous way. This methods, however, does not depend upon any small or large parameters in comparison with other methods. A very good agreement was found between approximate and numerical solution which reveals that OAFM is more effective, very efficient, accurate and easy to use.
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