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New Analytic Solution of Von Karman Swirling Viscous Flow

Author: Abdou M.  

Publisher: Springer Publishing Company

ISSN: 0167-8019

Source: Acta Applicandae Mathematicae, Vol.111, Iss.1, 2010-07, pp. : 7-13

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Abstract

In this paper, an analytic method for highly nonlinear problems, namely, homotopy perturbation (HPM) method, is used to solve the Von Karman swirling viscous flow, governed by a set of two fully coupled differential equations with strong nonlinearity. An explicit, purely analytic and uniformly valid solution is given. Comparison of the results obtained by the method reveals that HPM is more effective and easy to use.