OPTIMAL AUXILIARY FUNCTIONS METHOD FOR THIN FILM FLOW OF A FOURTH GRADE FLUID DOWN A VERTICAL CYLINDER
Journal Title: ROMANIAN JOURNAL OF TECHNICAL SCIENCES - APPLIED MECHANICS - Year 2017, Vol 62, Issue 2
Abstract
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.
Authors and Affiliations
VASILE MARINCA, NICOLAE HERISANU
Keywords
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